HP Hewlett Packard Calculator 9s User Manual

hp 9s  
Trigonometric and Inverse Trigonometric Functions  
Before undertaking a trigonometric or inverse trigonometric  
calculation, make sure that the appropriate angular unit is set.  
Ex. 7: Change 12385 to 789  
1. Key in 12385  
Mixed Arithmetic Calculations  
DEG  
DEG  
Scientific Calculator  
789.  
123.  
DEG  
DEG  
ENTER  
1 [ + ] 2 [ × ] 3 [ ]  
1 + 2 × 3 = ?  
7.  
2. Press [ CE ] 789  
DEG  
ENTER  
]
3 sin 85° = ?  
3 [ × ] 85 [ sin ] [  
π
2.99  
0.71  
÷
3.5 [ +/– ] [ + ] 8 [  
] 2  
0.5  
÷
–3.5 + 8 2 = ?  
π
4
Ex. 8: Change 12385 to 123  
1. Key in 12385  
÷
ENTER  
] 4 [ ]  
[ 2ndF ] [  
[ cos ]  
] [  
ENTER  
[
]
RAD  
General Operations  
cos (  
rad) = ?  
Parentheses Calculations  
Operations inside parentheses are always executed first. You can  
specify up to 15 levels of parentheses in a single calculation. When  
you enter the first parenthesis, the ( ) indicator appears on the display  
and remains until each opening parenthesis has a corresponding  
closing parenthesis.  
Power Supply  
On or Off  
GRAD  
DEG  
tan 150 grad = ?  
150 [ tan ]  
–1.00  
30.00  
2. Press [ 00 0 ] twice.  
sin –1 0.5 = ? deg 0.5 [ 2ndF ] [ sin –1  
]
To turn the calculator on, press [ON/C].  
In a series of calculations, you can correct errors in intermediate  
results by pressing [ON/C]. This clears the calculation without clearing  
memory.  
1
cos –1  
? rad  
(
) =  
[ cos –1  
2 [  
] [ 2ndF ] [ x –1] [ 2ndF ]  
]
RAD  
To turn the calculator off, press [2ndF] [OFF].  
0.79  
2
Auto power-off function  
If you press the wrong arithmetic operation key, just press [ CE ] and  
then the correct arithmetic key.  
tan –1 1 = ? grad  
1 [ 2ndF ] [ tan –1  
]
GRAD  
The calculator automatically turns off if it has not been used for  
approximately 9 minutes. Power can be restored by pressing the  
[ON/C] key again. Memory contents and the current mode setting  
(STAT, DEG, CPLX, Base-n,etc) are retained when you turn off the  
power and when the calculator automatically turns off.  
50.00  
DEG  
( 5 – 2 × 1.5 ) ×  
3 + 0.8 × (– 4 )  
= ?  
2.8  
[ ( ] 5 [ – ] 2 [ × ] 1.5 [ ) ] [ × ] 3  
ENTER  
Exchange key  
Hyperbolic and Inverse hyperbolic functions  
[ + ] 0.8 [ × ] 4 [ +/– ] [  
]
→  
Pressing [ 2ndF ] [ X Y ] changes the currently displayed value to  
the previously displayed value.  
cosh1.5+sinh1.5  
= ?  
1.5 [ HYP ] [ cos ] [ + ] 1.5  
ENTER  
DEG  
DEG  
2 × ( 7 + 6 × ( 5 2 [ × ] [ ( ] 7 [ + ] 6 [ × ] [ ( ] 5  
ENTER  
4.48  
122.  
[ HYP ] [ sin ] [  
]
+ 4 )) = ?  
[ + ] 4 [  
]
sinh –1 7 = ?  
tanh 1 =?  
7 [ HYP ] [ 2ndF ] [ sin –1  
]
DEG  
DEG  
DEG  
2.64  
0.76  
Battery replacement  
ENTER  
]
123 [ + ] 456 [  
579.00  
456.00  
579.00  
ENTER  
].  
Note: It is not necessary to press [ ) ] before [  
DEG  
DEG  
1 [ HYP ] [ tan ]  
→  
[ 2ndF ] [ X Y ]  
123 + 456 = ?  
The calculator is powered by two alkaline button batteries (GP76A or  
LR44). If the display becomes dim and difficult to read, the batteries  
should be replaced as soon as possible.  
Repeating a Calculation  
→  
[ 2ndF ] [ X Y ]  
Rectangular and Polar coordinates  
You can repeat the last number entered, or the last operation  
ENTER  
Rectangular Coordinates  
Polar Coordinates  
Accuracy and Capacity  
Accuracy: ±1 in the 10th digit.  
executed, by pressing [  
].  
To replace the batteries:  
Repeating the last number  
1. Slide the battery cover off and remove the old batteries.  
2. Insert new batteries, with positive polarity facing outward.  
3. Replace the battery cover and press [ON/C] to turn on the power.  
DEG  
DEG  
DEG  
Capacity: In general, calculations can be displayed as a mantissa of  
up to 10 digits, a 10-digit mantissa together with a 2-digit exponent up  
to 10 ±99, or as an integer between –9999999999 and 9999999999.  
ENTER  
3 [ × ] [  
]
9.  
27.  
81.  
3 × 3 = ?  
3 × 3 × 3 = ?  
ENTER  
[
[
]
3 × 3 × 3 × 3 = ?  
ENTER  
]
Numbers used as input to a particular function must be within the  
allowable range for that function (as set out in the following table):  
The keyboard  
Repeating the last arithmetic operation  
Most of the keys can perform two functions.  
DEG  
DEG  
ENTER  
321 [ + ] 357 [  
321 + 357 = ?  
654 + 357 = ?  
]
678.  
ENTER  
654 [  
]
Functions  
Allowable input range  
< 4.5 × 10 10 deg  
< 2.5 × 10 8 π rad  
< 5 × 10 10 grad  
1011.  
2nd function  
sin–1  
sin  
sin x, cos x, tan x  
――――――  
Deg:  
Rad:  
Grad:  
x
x
DEG  
DEG  
a + b i = r (cosθ + i sinθ)  
ENTER  
]
579 – 159 = ?  
456 – 159 = ?  
579 [ – ] 159 [  
ENTER  
420.  
297.  
―――  
1st function  
Note: Before undertaking a coordinates conversion calculation, make  
sure that the appropriate angular unit is set.  
456 [  
]
1st functions  
x
DEG  
DEG  
DEG  
ENTER  
3 [ × ] 6 [ × ] 45 [  
]
810.  
414.  
900.  
18 × 45 = ?  
18 × 23 = ?  
These are functions that are executed when you press a key without  
first pressing [ 2ndF ]. The function performed is indicated by the label  
on the key.  
Converting from Rectangular to Polar  
Also, for tan x:  
ENTER  
23 [  
]
DEG  
5 [ a ] 6 [ b ] [ 2ndF ] [ R P ]  
If a = 5 and b = 6,  
18 × (0.5x102) = ?  
7.81  
Deg:  
Rad:  
x
x
90 (2n +1)  
ENTER  
0.5 [ EXP ] 2 [  
]
DEG  
θ
?
what are r and  
[ b ]  
50.19  
π
2
2nd functions  
(2n +1)  
DEG  
DEG  
DEG  
÷
÷
÷
ENTER  
]
Converting from Polar to Rectangular  
96  
75  
8 = ?  
8 = ?  
96 [  
75 [  
] 8 [  
12.  
9.375  
15.  
These are functions that are executed when you press a key after first  
pressing [ 2ndF ]. The function performed is indicated by the label  
above the key.  
ENTER  
25 [ a ] 56 [ b ] [ 2ndF ]  
[ P R ]  
]
θ
Grad:  
x
100 (2n +1)  
If r = 25 and  
=
DEG  
DEG  
13.98  
20.73  
(1.2x102)  
8 = ?  
÷
56°, what are a  
and b?  
ENTER  
1.2 [ EXP ] 2 [  
]
where n is an integer.  
[ b ]  
When you press [ 2ndF ], the 2ndF indicator appears in the display to  
indicate that you will be selecting the second function of the next key  
you press. If you press [ 2ndF ] by mistake, simply press [ 2ndF ]  
again to remove the 2ndF indicator.  
sin –1 x, cos –1  
tan –1  
x
Percentage Calculations  
x
x
x
x
x
1  
Permutations and Combinations  
120 [ × ] 30 [ 2ndF ] [ % ]  
ENTER  
DEG  
DEG  
DEG  
< 1 × 10 100  
230.2585092  
< 1 × 10 100  
< 5 × 10 99  
30% of 120 = ?  
70% of 120 = ?  
36.  
84.  
[
]
x
n!  
n!  
nPr =  
nCr =  
ENTER  
70 [ 2ndF ] [ % ] [  
]
(nr)!  
r !(n r)!  
Note: [ A ], [ B ], [ C ], [ D ], [ E ], [ F ] are 1st functions in HEX mode.  
sinh x, cosh x  
tanh x  
÷
88 is 55% of what 88 [  
] 55 [ 2ndF ] [ % ]  
How many  
160.  
number?  
ENTER  
]
Display Symbols  
[
permutations of 4  
items can you  
select from a set  
of 7 items?  
DEG  
DEG  
ENTER  
]
30% mark up of  
120 = ?  
120 [ + ] 30 [ 2ndF ] [ % ]  
ENTER  
7 [ 2ndF ] [ nPr ] 4 [  
7 [ 2ndF ] [ nCr ] 4 [  
DEG  
DEG  
840.00  
35.00  
The following symbols, shown on the display, indicate the status of  
the calculator.  
156.  
84.  
sinh –1  
x
[
]
30% discount of  
120 = ?  
120 [ – ] 30 [ 2ndF ] [ % ]  
ENTER  
cosh –1  
tanh –1  
x
1 x < 5 × 10 99  
< 1  
[
]
How many  
DEG or RAD or GRAD: degrees, radians or grads angular unit  
combinations of 4  
items can you  
select from a set  
of 7 items?  
Memory Calculations  
x
M
E
A value is in memory  
Overflow or error  
Minus  
CPLX Complex number mode  
STAT Statistical mode  
x
ENTER  
]
The M indicator appears when a number is stored in memory.  
Recalling from memory does not delete the contents of memory.  
The memory is not available when you are in statistics mode.  
log x, ln x  
1 × 10 –99 x < 1 x 10 100  
–1 × 10 100 x 100  
–1 × 10 100 x 230.2585092  
0 x < 1 × 10 100  
2ndF  
[2ndF] key pressed  
Precision capability  
Process capability  
Deviation  
( )  
Parentheses calculation CP  
10 x  
e x  
Sexagesimal  
You can convert a sexagesimal figure (degree, minute and second) to  
a decimal number by pressing [ ] and convert a decimal number  
Decimal form Conversions  
BIN Binary mode  
OCT Octal mode  
CPK  
σ
To copy the displayed number to memory, press [ X M ].  
x
To clear the memory, press [ 0 ] [ X M ], or [ CE ] [ X M ], in  
that order.  
to a sexagesimal figure by pressing [ 2ndF ] [  
].  
HEX Hexadecimal mode  
USL  
LSL  
Setting upper limit  
Setting lower limit  
x 2  
x –1  
x
< 1 × 10 50  
x│<1 × 10 100, X0  
< 1 × 10 100  
Sexagesimal figures are displayed as follows:  
ED  
Edit mode  
HYP Hyperbolic mode  
12 45 
׀
 
30 
׀
 
׀
 
5
= 12 degrees, 45 minutes, 30.5  
seconds  
DEG  
[ CE ] [ X M ]  
0.  
15.  
8.  
DEG  
DEG  
DEG  
DEG  
DEG  
3
3 [ × ] 5 [ M+ ]  
x
x
M
M
M
M
Note: If the total number of digits in a DD, MM and SS.SS figure  
exceeds 8, the figure is truncated.  
3 × 5  
Display Formats  
÷
56 [  
] 7 [ M+ ]  
÷
+ 56  
7
0
x
69, where x is an integer.  
The calculator can display numbers in four formats: floating point,  
fixed point, scientific, and engineering.  
X !  
+ 74 – 8 × 7  
Total = ?  
74 [ – ] 8 [ × ] 7 [ M+ ]  
[ MR ]  
18.  
41.  
0.  
Converting from Sexagesimal to Decimal  
1 × 10 100  
1 × 10 100  
R
P
2
2
x
+ y  
12 deg., 45 min.,  
30.5 sec.= ?  
12 [  
[
] 45 [  
] 30.5  
DEG  
DEG  
Floating point format  
12.76  
]
P
r
R
0
0 [ X M ]  
The floating point format displays numbers in decimal form, using up  
to 10 digits. Any trailing zeros are truncated.  
Deg  
Rad  
Grad  
4.5 × 10 10 deg  
Converting from Decimal to Sexagesimal  
2.12345 = ? 2.12345 [ 2ndF ] [  
:│θ│<  
Common Math Calculations  
The following example calculations assume that your display is fixed  
at 2 decimal places.  
2 7 
׀
24 
׀׀
42  
:│θ│<  
8π  
]
2.5 × 10  
rad  
If the result of a calculation is too large to be represented by 10 digits,  
the display automatically switches to scientific format. If the result of a  
later calculation is small enough to be displayed in less than 10 digits,  
the calculator returns to floating point format.  
5 × 10 10 grad  
:│θ│<  
Base-n Calculations  
Converting between bases  
Also, for tan x:  
Reciprocal, Factorial  
:│θ│≠  
Deg  
Rad  
Grad  
90 (2n+1)  
1
You can add, subtract, multiply, and divide binary, octal, and  
hexadecimal numbers in addition to decimal numbers. Select the  
1.25 [ 2ndF ] [ x –1] [  
DEG  
ENTER  
]
To set the display to floating point display format:  
= ?  
0.80  
π
1.25  
:│θ│≠  
(2n+1)  
2
DEG  
DEG  
0.  
4. Press [ 2ndF ] [ FIX ] [  
]
number base you want by pressing [ BIN], [ OCT], [ HEX], or  
ENTER  
]
5! = ?  
5 [ 2ndF ] [ x! ] [  
120.00  
DEC]. The BIN, OCT, and HEX indicators show you which base  
:│θ│≠  
[
100 (2n+1)  
Fixed point format  
Square, Square Root, Cube Root, Power, Other Roots  
you are using. (If none of these indicators is displayed, you are using  
decimal base.)  
2 2 + 3 4 = ?  
2 [ x 2 ] [ + ] 3 [ x y ] 4 [  
5 [ × ] 27 [ 2ndF ] [ 3 ] [ + ]  
where n is an integer.  
DD, MM, SS.SS 1 × 10 100  
DEG  
ENTER  
]
The fixed point, scientific, and engineering formats use a fixed  
number of decimal places to display numbers. If more than the  
specified number of decimal places is keyed, the entry will be rounded  
to the correct number of decimal places.  
85.00  
20.83  
1.61  
,
DEG  
DEG  
5 ×3  
+
= ?  
34  
The number keys that are active in a particular base are:  
Binary base: [ 0 ] and [ 1 ]  
27  
ENTER  
]
34 [  
] [  
0 MM, SS.SS  
72 [ 2ndF ] [ X ] 9 [  
9
= ?  
ENTER  
]
72  
x
< 1 × 10 100  
Octal base: [ 0 ] to [ 7 ]  
Ex. 1: Fix the display at 2 decimal places, then key in 3.256  
Logarithms and Antilogarithms  
x y  
x > 0 : –1 × 10100 < y log x < 100  
DEG  
Decimal base: [ 0 ] to [ 9 ]  
1. Press [ 2ndF ] [ FIX ] 2  
ENTER  
0.00  
3.26  
DEG  
DEG  
ENTER  
7 [ ln ] [ + ] 100 [ log ] [  
2 [ 2ndF ] [ 10 x ] [  
ln7 + log100 = ?  
10 2 = ?  
]
3.95  
Hexadecimal base: [ 0 ] to [ 9 ] and [ A ] to [ F ]  
x = 0 : y > 0  
DEG  
ENTER  
]
2. Key in 3.256 [  
]
100.00  
DEG  
[ 2ndF ] [ DEC] 31  
5 [ 2ndF ] [ e x ] [ – ] 2 [+/–]  
ENTER  
31.  
11111.  
37.  
x < 0 : y = n, 1/(2n+1)  
31 (base 10)  
= ? (base 2)  
= ? (base 8)  
e 5 – e –2 = ?  
DEG  
If fewer than the set number of decimal places is keyed, the entry will  
be padded with trailing zeros.  
DEG BIN  
DEG OCT  
DEG HEX  
[ 2ndF ] [ e x ] [  
]
148.28  
[ 2ndF ] [ BIN]  
where n is an integer  
[ 2ndF ] [ OCT]  
but –1 x 10100  
<
log x100  
1
y
Ex. 2: Fix the display at 4 decimal places, then key in 4.23  
Fraction calculations  
Fractions are displayed as follows:  
= ? (base 16)  
[ 2ndF ] [ HEX]  
1F.  
DEG  
1. Press [ 2ndF ] [ FIX ] 4  
0.0000  
4.2300  
[ 2ndF ] [ HEX] 4 [ × ] 1B  
ENTER  
x Y  
DEG HEX  
DEG  
1
y > 0 : x 0, –1 x 10100  
<
log y < 100  
6C.  
4 × 1B (base 16)  
= ? (base 2)  
DEG  
[
]
ENTER  
x
2. Key in 4.23 [  
]
BIN1101100.  
108.00  
5
[ 2ndF ] [ BIN]  
5
12  
=
=
y = 0 : x > 0  
Scientific format  
= ? (base 10)  
= ? (base 8)  
12  
DEG  
[ 2ndF ] [ DEC]  
In scientific format, the number 891500 is shown as 8.915 × 10 05  
where 8.915 is the mantissa and 5 is the exponent of 10.  
,
y < 0 : x =2n+1, l/n  
DEG OCT  
[ 2ndF ] [ OCT]  
154.  
5
56  
5
12  
where n is an integer other than 0  
but –1 x 10100  
56  
12  
Negative Numbers and Complements  
Ex. 3: To display 7132 × 125 in scientific format:  
1
<
log y 100  
Note : The display is truncated if the integer, numerator, denominator  
and fraction symbols together are more than 10 digits.  
DEG  
x
In binary, octal, and hexadecimal bases, negative numbers are  
expressed as complements. The complement is the result of  
subtracting that number from 10000000000 in that number’s base.  
You do this by pressing [+/–] in a non-decimal base.  
ENTER  
1. Key in 7132 [ × ] 125 [  
]
891500.  
8.915  
b
InputThe integer, numerator, denominator  
and fraction symbols must in total be no  
more than 10 digits.  
a
/c  
DEG  
05  
d
→  
2. Press [ F E ]  
Press [ 2ndF ] [  
fraction.  
/c ] to convert the displayed value to an improper  
You can convert an entry to scientific notation by pressing [EXP] after  
entering the mantissa.  
Ex. 4: Key the number 4.82296 × 10 5  
ResultDisplayed as a fraction when the  
Calculate the  
complement of  
binary number  
11011  
2
3
3
5
DEG BIN  
integer, numerator and denominator are  
b
b
+ 7  
4
2 [ a /c ] 3 [ + ] 7 [ a /c ] 3  
b
DEG  
DEG  
[ 2ndF ] [ BIN ] 11011 [+/–]  
each less than 1 × 1010  
.
15  
8
4
1111100101.  
ENTER  
[ a /c ] 5 [  
]
DEG  
05  
0 rn, n9999999999; n, r are integers.  
nPr, nCr  
STAT  
1. Key in 4.82296 [ EXP ] 5  
4.82296  
= 8  
15  
x  < 1 × 10 50 , Σ x  < 1 × 10 100  
Complex Number Calculations  
Engineering format  
124  
0 ≦│Σx 2│<1 × 10 100; n, r are integer  
=
d
[ 2ndF ] [  
/c ]  
124 15  
Press [ CPLX ] to enter complex number mode. The CPLX indicator  
appears on the display. You can add, subtract, multiply, and divide  
complex numbers.  
15  
Engineering format is similar to scientific format, except that the  
n0, Sn1,σ:n0  
x
mantissa can have up to three digits to the left of the decimal and the  
exponent is always a multiple of three. This is useful if you have to  
b
ENTER  
], or if a fraction was  
If you press [ a /c ] after pressing [  
Range = 1 ~ r, 1nr, 80r20400  
0 X 9999999999 (for zero or positive)  
–9999999999 X –1 (for negative)  
combined with a decimal number, the answer is displayed as a  
decimal number.  
convert units that are based on multiples of 10 3  
Ex. 5: Convert 15V to 15000mV (V = Volts)  
.
Complex numbers are generally represented as a + b i, where a is the  
real part and bi is the imaginary part.  
DEC  
BIN  
4
9
3
4
b
b
5 [ a /c ] 4 [ a /c ] 9 [ + ] 3  
DEG  
[ 2ndF ] [ CPLX ] 7 [ a ] 9  
DEG  
5
+ 3  
9
7
36  
9.19  
12.19  
1. Key in 15  
15.  
DEG CPLX  
0
X
0111111111 (for zero or  
b
b
ENTER  
[ a /c ] 3 [ a /c ] 4 [  
]
[ +/– ] [ b ] [ + ] 15 [ a ] 10 [ b ]  
ENTER  
( 7 – 9 i ) +  
(15 + 10 i) = ?  
22.00  
1.00  
positive)  
7
DEG  
03  
[
]
DEG  
DEG  
2. Press [ ENG ] twice.  
Ex. 6: Convert 15V to 0.015KV (V = Volts)  
1. Key in 15  
15000.  
= 9  
= 9.19  
b
DEG CPLX  
[ a /c ]  
36  
[ b ]  
1000000000 X 1111111111  
(for negative)  
b
b
4
8
8 [ a /c ] 4 [ a /c ] 9 [ + ]  
Note: Memory calculation is available in complex number mode.  
+ 3.75 = 12.19  
DEG  
DEG  
ENTER  
3.75 [  
]
9
15.  
OCT  
HEX  
0 X 3777777777 (for zero or positive)  
4000000000 X 7777777777  
(for negative)  
Random Numbers  
Press [ 2ndF ] [ RND ] to generate a random number between 0.000  
and 0.999.  
Where possible, a fraction is reduced to its lowest terms after you  
ENTER  
03  
0.015  
2. Press [ 2ndF ] [  
] [ 2ndF ] [  
]
÷
press [ + ], [ – ], [ × ], [  
] or [  
].  
Order of Operations  
b
b
3 [ a /c ] 119 [ a /c ] 21  
ENTER  
119  
21  
2
3
DEG  
8
2
3
Unit Conversions  
3
= 8  
[
]
Each calculation is performed in the following order of precedence:  
1. Operations in parentheses.  
0 X 2540BE3FF (for zero or positive)  
FDABF41C01 X FFFFFFFFFF (for  
negative)  
→  
→  
→  
The unit conversion keys are [°F °C ], [ mmHg Kpa ], [ gal I ],  
A result is displayed in decimal format if the integer, numerator,  
denominator and fraction symbols are together more than 10 digits.  
→  
→  
[ lb kg ] and [ oz g ]. The following example illustrates the general  
procedure for converting values from one unit to another.  
2. Functions that require pressing the function key before entering a  
value, for example, [ DATA ] in statistics mode, and [ EXP ].  
b
b
b
b
12345 [ a /c ] 5 [ a /c ] 16  
5
12345 +5  
16  
= 12350.77  
6
Overflow and Error Conditions  
The symbol E appears when any of the following conditions occur.  
Press [ ON/C ] to remove the overflow or error indicator.  
DEG  
DEG  
12350.77  
[ + ] 5 [ a /c ] 6 [ a /c ] 13  
ENTER  
3. Functions that require values to be entered before pressing the  
13  
→  
12 in = ? cm  
98 cm = ? in  
12 [ A B ] [ 2ndF ] [ in cm]  
30.48  
38.58  
function key, for example, cos, sin, tan, cos –1, sin –1, tan –1, log, ln,  
[
]
98 [ 2ndF ] [ A B ] [ 2ndF ]  
→  
3
x 2, x –1  
,
,
,
,
, and the unit  
DEG  
π
, x!, %, RND, ENG,  
[ in cm ]  
Converting Angular Units  
When you attempt to perform a function calculation with a number  
outside the allowable input range.  
conversion functions.  
You can specify an angular unit of degrees (DEG), radians (RAD), or  
grads (GRAD). You can also convert a value expressed in one  
angular unit to its corresponding value in another angular unit.  
Statistics  
4. Fractions.  
When you attempt to divide a number by 0.  
Press [ 2ndF ] [ STAT ] to enter statistics mode. The STAT indicator  
appears on the display. In statistics mode you can calculate the  
following single-variable statistics:  
5. +/–  
When you have pressed the [ ( ] key more than 15 times in a  
single expression.  
6. x y, X  
The relation between the angular units is:  
180° = radians = 200 grads  
π
7. nPr, nCr  
n
number of data items  
sum of the values of all the data items  
sum of the squares  
When any result (whether intermediate or final) or the  
To change the angular unit setting to another setting, press  
[ DRG ] repeatedly until the angular unit you want is indicated in  
the display.  
Σx  
Σx2  
÷
accumulated total in memory is outside ±9.999999999 × 10 99  
8. ×,  
When there are more than six pending operations.  
9. +, –  
mean value  
x
If the calculator becomes locked and pressing keys has no effect,  
press [ M+ ] and [ ENG ] at the same time. This unlocks the calculator  
and returns all settings to their default values.  
After entering the value of an angle, press [ 2ndF ] [ DRG  
repeatedly until the value is converted to the desired unit.  
]
Corrections  
x
2 ( x)2/n  
n 1  
s
sample standard deviation  
If you have made a mistake when entering a number and you have  
not yet pressed an arithmetic operator key, just press [ CE ] to clear  
the last entry. You can then input the desired number again.  
Alternatively,you can delete digits one at a time by pressing the  
DEG  
90  
90.  
90° (deg)  
= ? (rad)  
= ? (grad)  
2 ( x)2/n  
n
RAD  
x
Basic Calculations  
The following examples of basic calculations assume that your  
calculator is in decimal base and with floating point display.  
[ 2ndF ] [ DRG  
[ 2ndF ] [ DRG  
]
]
1.57  
σ
population standard deviation  
GRAD  
100.00  
backspace key: [ 00 0 ].  
Continued on other side  
 
DEG  
DEG  
DEG  
DEG  
DEG  
DEG  
DEG  
DEG  
DEG  
DEG  
DEG  
DEG  
DEG  
DEG  
DEG  
STAT  
STAT  
STAT  
STAT  
STAT  
STAT  
STAT  
STAT  
STAT  
STAT  
STAT  
STAT  
STAT  
STAT  
STAT  
données  
[ DATA ] 5  
[ DATA ] 5  
[ DATA ] 5  
[ DATA ] 5  
[ DATA ] 9  
[ DATA ] 9  
[ DATA ] 9  
5.  
5.  
[ cos –1  
)=? rad  
2 [  
] [ 2ndF ] [ x –1] [ 2ndF ]  
]
1
RAD  
cos –1  
(
0.79  
2
tan –1 1 = ? grad  
1 [ 2ndF ] [ tan –1  
]
GRAD  
5.  
50.00  
5.  
Fonctions hyperboliques et hyperboliques inverses  
9.  
cosh1.5+sinh1.5  
1.5 [ HYP ] [ cos ] [ + ] 1.5  
ENTER  
7 [ HYP ] [ 2ndF ] [ sin –1  
1 [ HYP ] [ tan ]  
DEG  
4.48  
9.  
= ?  
[ HYP ] [ sin ] [  
]
sinh –1 7 = ?  
]
DEG  
DEG  
9.  
2.64  
0.76  
ENTER  
[
[
]
0.00  
6.13  
8.00  
2.59  
49.00  
347.00  
2.42  
12.  
tanh 1 =  
?
= ?  
]
x
x
Coordonnées rectangulaires et polaires  
Coordonnées rectangulaires Coordonnées polaires  
n = ?  
[ n ]  
[ S ]  
S = ?  
Σx = ?  
Σx 2 = ?  
σ= ?  
[ 2ndF] [ Σx ]  
2
[ 2ndF ] [ Σx  
[ 2ndF ] [ σ ]  
]
σ
CP  
[ 2ndF ] [ CP ] 12  
USL  
CP  
LSL  
CP  
DEG  
DEG  
DEG  
DEG  
DEG  
STAT  
STAT  
STAT  
STAT  
STAT  
ENTER  
CP = ?  
[
[
] 2  
2.  
0.69  
ENTER  
]
CPK  
USL  
CPK  
LSL  
[ 2ndF ] [ CPK ]  
12.00  
2.00  
a + b I = r (cosθ + i sinθ)  
ENTER  
]
CPK = ?  
[
[
Remarque : Avant d'entreprendre un calcul de conversion de  
coordonnées, vérifiez que vous avez spécifié l'unité  
d'angle appropriée.  
CPK  
ENTER  
]
0.57  
Remarque : La calculatrice mémorise les données entrées jusqu'à la  
sortie du mode Statistiques. Les données sont  
conservées même en cas d'extinction automatique ou  
manuelle de la calculatrice.  
Conversion de coordonnées rectangulaires en polaires  
DEG  
Si a = 5 et b = 6,  
combien valent r  
5 [ a ] 6 [ b ] [ 2ndF ] [ R P ]  
7.81  
DEG  
[ b ]  
50.19  
θ
et  
?
Affichage des données de statistiques  
ENTER  
Appuyez sur [DATA ] ou [ ] en mode édition (ED) pour afficher  
Conversion de coordonnées polaires en rectangulaires  
les données statistiques entrées. (Si vous appuyez sur [ DATA ], le  
numéro de données apparaît rapidement avant la valeur).  
25 [ a ] 56 [ b ] [ 2ndF ]  
[ P R ]  
θ
Si r = 25 et  
=
DEG  
13.98  
20.73  
56°, combien  
valent a et b ?  
DEG  
Ex.10 : Consultez les données entrées dans l'Ex. 9.  
Méthode 1  
[ b ]  
Permutations et combinaisons  
1. Appuyez sur [2ndF ] [ EDIT ] pour passer en mode édition.  
n!  
n!  
nPr =  
nCr =  
2. Appuyez une fois sur [DATA ] pour afficher la première valeur de  
données.  
(n r)!  
r !(n r)!  
Combien de  
DEG  
DEG  
DEG ED STAT  
DEG ED STAT  
ENTER  
permutations de 4 7 [ 2ndF ] [ nPr ] 4 [  
objets parmi 7 ?  
]
840.00  
35.00  
1,5 secondes  
dAtA  
1
2.00  
Combien de  
3. Continuez d'appuyez sur [ DATA ] pour afficher chaque valeur de  
données. Vous voyez successivement apparaître data 2, 5.00,  
data 3, 5.00, data 4, 5.00, data 5, 5.00, data 6, 9.00, data 7, 9.00,  
data 8, 9.00.  
ENTER  
combinaisons de 7 [ 2ndF ] [ nCr ] 4 [  
4 objets parmi 7 ?  
]
Conversions de sexagésimal  
Il est possible de convertir une valeur sexagésimale (degrés, minutes  
et secondes) en valeur décimale en appuyant sur [ ] et de  
convertir un nombre décimal en valeur sexagésimale en appuyant sur  
[ 2ndF ] [ ].  
décimal  
Méthode 2  
ENTER  
4. Appuyez une fois sur [  
données.  
] pour afficher la première valeur de  
DEG ED STAT  
2.00  
Les valeurs sexagésimales sont affichées comme suit :  
ENTER  
5. Continuez à appuyer sur [ ] pour afficher chaque valeur de  
12 45 
׀
 
30 
׀
 
׀
 
5
= 12 degrés, 45 minutes, 30,5  
secondes  
données. Vous verrez apparaître successivement 5.00, 5.00,  
5.00, 5.00, 9.00, 9.00, 9.00.  
Remarque : Si le nombre total de chiffres d'une valeur DD, MM et  
SS.SS dépasse 8, la valeur est tronquée.  
Ajout d'une valeur de données  
Ex. 11 : Pour ajouter une 9ème valeur de données égale à 10 au jeu de  
Conversion de sexagésimal en décimal  
données de l'Ex. 9.  
12 deg., 45 min.,  
30.5 sec.=?  
12 [  
[
] 45 [  
] 30.5  
]
DEG  
DEG  
12.76  
DEG ED STAT  
]
1. Appuyez sur [DATA ] 10  
10.  
Conversion de décimal en sexagésimal  
2.12345 = ? 2.12345 [ 2ndF ] [  
La calculatrice met à jour les statistiques dès l'entrée des données.  
2 7 
׀
24 
׀׀
42  
Vous pouvez alors rappeler les statistiques pour obtenir :  
= 6.56, n  
x
= 9.00, S = 2.74, Σx = 59.00, Σx 2 = 447.00, σ= 2.59.  
Calculs en base "n"  
Conversion entre bases  
Modification de données statistiques  
Ex.12 : Modifiez la valeur de données 1 de l'Ex. 9 de 2 en 3.  
Il est possible d'ajouter, soustraire, multiplier et diviser des nombres  
binaires, octaux et hexadécimaux en plus des nombres décimaux.  
Méthode 1  
Sélectionnez la base voulue en appuyant sur [ BIN], [ OCT], [  
1. Appuyez sur 2 [ 2ndF ] [ DEL ] 3  
Méthode 2  
HEX], ou [ DEC]. Les indicateurs BIN, OCT et HEX indiquent la  
base utilisée (si aucun des indicateurs n'est affiché, vous utilisez la  
base décimale).  
DEG ED STAT  
1. Appuyez sur [2ndF ] [ EDIT ]  
0.00  
2.00  
Les touches actives dans une base sont :  
Base binaire : [ 0 ] et [ 1 ]  
DEG ED STAT  
2. Appuyez sur 2 en appuyant sur [ DATA ]  
ENTER  
ou [  
]
Base octale : [ 0 ] à [ 7 ]  
DEG ED STAT  
3. Entrez 3 pour effacer 2.  
3.  
Base décimale : [ 0 ] à [ 9 ]  
ENTER  
Base hexadécimale : [ 0 ] à [ 9 ] et [ A ] à [ F ]  
4. Appuyez sur [ ] pour valider la modification.  
DEG  
[ 2ndF ] [ DEC] 31  
5. Appuyez sur [2ndF ] [ EDIT ] pour quitter le mode Edition.  
31.  
11111.  
37.  
31 (base 10)  
= ? (base 2)  
= ? (base 8)  
DEG BIN  
DEG OCT  
DEG HEX  
[ 2ndF ] [ BIN]  
Ex.13 : A partir de l'Ex.9, supprimez la première valeur de données  
(égale à 2).  
[ 2ndF ] [ OCT]  
= ? (base 16)  
[ 2ndF ] [ HEX]  
Méthode 1  
1F.  
[ 2ndF ] [ HEX] 4 [ x ] 1B  
DEG HEX  
DEG  
1. Appuyez sur 2 [ 2ndF ] [ DEL ] pour supprimer 2.  
6C.  
4 x 1B (base 16)  
= ? (base 2)  
[ ENTER ]  
Méthode 2  
BIN1101100.  
108.00  
[ 2ndF ] [ BIN]  
DEG ED STAT  
= ? (base 10)  
= ? (base 8)  
1. Appuyez sur [2ndF ] [ EDIT ]  
0.00  
DEG  
[ 2ndF ] [ DEC]  
DEG OCT  
DEG ED STAT  
[ 2ndF ] [ OCT]  
154.  
2. Appuyez sur 2 en appuyant sur [ DATA ]  
2.00  
5.00  
ENTER  
].  
ou [  
Nombres négatifs et compléments  
Dans les bases binaire, octale et hexadécimale, les nombres négatifs  
sont exprimés sous forme de compléments. Le complément est le  
résultat de la soustraction du nombre de 10000000000 dans la base  
considérée. Pour cela, appuyez sur [+/–] dans une base non  
décimale.  
DEG ED STAT  
3. Appuyez sur [2ndF ] [ DEL ]  
4. Appuyez sur [2ndF ] [ EDIT ] pour quitter le mode édition.  
Erreur de suppression  
Calculer le  
complément du  
nombre binaire  
11011  
Si vous tentez de supprimer une valeur qui n'existe pas dans le jeu de  
données, dEL Error apparaît. (Les données existantes ne sont pas  
modifiées.)  
DEG BIN  
[ 2ndF ] [ BIN ] 11011 [+/–]  
1111100101.  
Ex.14 : Supprimez 7 du jeu de données de l'Ex. 9.  
DEG  
STAT  
Calculs sur les nombres complexes  
1. Appuyez sur 7 [ 2ndF ] [ DEL ]  
Appuyez sur [CPLX ] pour entrer en mode nombres complexes.  
L'indicateur CPLX apparaît à l'écran. Vous pouvez ajouter, soustraire,  
multiplier et diviser des nombres complexes.  
dEL Error  
DEG  
STAT  
2. Appuyez sur une touche pour effacer le  
message.  
0.00  
Les nombres complexes sont généralement représentés sous la  
forme a + b i, où a et b i sont les parties réelle et imaginaire.  
Ex.15 : Supprimez 5 × 5 du jeu de données de l'Ex.9.  
[ 2ndF ] [ CPLX ] 7 [ a ] 9 [+/–]  
DEG CPLX  
DEG  
STAT  
[ b ] [ + ] 15 [ a ] 10 [ b ]  
ENTER  
( 7 – 9 i ) +  
(15 + 10 i) = ?  
22.00  
1.00  
1. Appuyez sur 5 [ x ] 5 [ 2ndF ] [ DEL ]  
[
]
dEL Error  
DEG CPLX  
[ b ]  
DEG  
STAT  
2. Appuyez sur une touche pour effacer le  
0.00  
Remarque : Le calcul en mémoire est possible en mode complexe.  
message.  
Nombres pseudo-aléatoires  
Appuyez sur [2ndF ] [ RND ] pour générer un nombre  
pseudo-aléatoire compris entre 0.000 et 0.999.  
Méthode d'entrée de données pondérées  
Plutôt que d'entrer individuellement chacune des données, vous  
pouvez entrer la valeur et le nombre d'occurrences de cette valeur  
(jusqu'à 255). Les données de l'Ex.1 peuvent être entrées comme  
suit :  
Conversions d'unités  
→  
→  
Les touches de conversion d'unité sont [°F °C ], [ mmHg Kpa ],  
→  
→  
→  
[ gal I ], [ lb kg ], [ oz g ]. L'exemple ci-dessous illustre la  
procédure générale de conversion de valeur d'une unité en une autre.  
Valeur Nombre d'occurrences  
Autre méthode  
[ DATA ] 2  
Attention : 1 gal UK – Cdn = 4.546092 litres et 1 gal US = 3.785412 litres.  
DEG  
2
5
9
1
4
3
→  
12 in = ? cm  
12 [ A B ] [ 2ndF ] [ in cm]  
30.48  
38.58  
[ DATA ] 5 [ x ] 4  
[ DATA ] 9 [ x ] 3  
98 [ 2ndF ] [ A B ] [ 2ndF ]  
→  
DEG  
98 cm = ? in  
[ in cm ]  
Où valeur 1 = 2, valeurs 2 à 5 = 5, et valeurs 6 à 8 = 9.  
Statistiques  
Conditions d'erreur  
Appuyez sur [ 2ndF ] [STAT ] pour entrer en mode statistiques.  
L'indicateur STAT apparaît à l'écran. En mode statistiques, vous  
pouvez calculer les statistiques suivantes sur une variable :  
L'indicateur FULL apparaît dans une des conditions ci-dessous.  
L'entrée ultérieure de données n'est plus possible. Appuyez sur une  
touche pour effacer l'indicateur. A condition de rester en mode  
statistiques, les données entrées précédemment ne sont pas  
modifiées.  
n
nombre de valeurs de données  
somme des valeurs de données  
somme des carrés de valeurs  
valeur moyenne  
Σx  
Σx2  
Vous tentez d'entrer plus de 80 valeurs de données.  
Le nombre d'occurrences d'une valeur de données est supérieur  
à 255  
x
x2 ( x)2 /n  
n 1  
s
écart type d'échantillon  
écart type de population  
Le produit du nombre de valeurs de données et du nombre  
d'occurrences est supérieur à 20400.  
x2 ( x)2 /n  
σ
n
USLLSL  
capacité de précision  
6 σ  
CP  
CPK  
capacité de traitement Min(CPU, CPL)  
USLx  
3 σ  
x LSL  
3 σ  
où CPU =  
CPL =  
Remarque : En mode statistiques, toutes les touches de fonction  
sont disponibles sauf celles utilisées pour les calculs en  
base "n".  
© Copyright 2002 Hewlett-Packard Development Company, L.P.  
Toute reproduction, adaptation ou traduction sans accord préalable  
écrit est strictement interdite, sous couverture des lois sur la  
protection de la propriété intellectuelle.  
Ex. 9 : Entrez les données suivantes {2, 5, 5, 5, 5, 9, 9, et 9} et  
calculez Σx, Σx2, n, , S, CP, et CPK, où valeur USL =  
x
12 et valeur LSL = 2.  
Imprimé en Chine.  
HDPMR178127 MWB  
DEG  
DEG  
STAT  
STAT  
En mode STAT  
Entrez toutes les  
[ 2ndF ] [ STAT ]  
[ DATA ] 2  
0.00  
2.  
Référence HP : F2212-90002  
 

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