CITIZEN SR-270II - Manual (Page 3)

3
Stack
This calculator uses memory areas, called “ stacks “, to temporarily
store values (numeric stack) and commands (command stack ) accord-
ing to their precedence during calculations. The numeric stack has 10
levels and command stack has 24 levels. A stack error (Stk ERROR)
occurs whenever you try to perform a calculation that is so complex that
the capacity of a stack is exceeded.
Order of operations
Each calculation is performed in the following order of precedence :
1) Coordinates transformation.
2) Type A functions which are required entering values before
pressing the function key, for example, x
2 , , x !, x –1 .
3) y x ,
x
.
4) Fractions.
5) Abbreviated multiplication format in front of variables, π .
6) Type B functions which are required pressing the function key
before entering, for example, sin, cos, tan, sin
–1 , cos –1 ,
tan –1 , sinh, cosh, tanh, sinh –1 , cosh –1 , tanh –1 , log, ln, 10 X ,
e X , , 3 , ( – ).
7) Abbreviated multiplication format in front of Type B functions
3 2 , Alog2, etc.
8) nPr, nCr
9) x ,
÷
10) +, –
• When functions with the same priority are used in series,
execution is performed from right to left.
e X ln120 → e X { ln (120 ) }
otherwise, execution is from left to right.
• Compound functions are executed from right to left.
• Anything contained within parentheses receives the highest
priority.
Accuracy and Capacity
Output digits : Up to 10 digits.
Calculating digits : Up to 15 digits
In general, every reasonable calculation is displayed up to 10 digits
mantissa, or 10-digits mantissa plus 2-digits exponent up to 10
± 99 .
Numbers used as input must be within the range of the given function as
follow :
Functions Input range
sin x, tan x Deg : 0 < l x l < 4.499999999 x 10 10
Rad : 0 < l x l < 785398163.3
Grad : 0 < l x l < 4.499999999 x 10 10
however, for tan x
Deg : | x | ≠ 90 (2n–1)
Rad : | x | ≠
2
π
(2n–1)
Grad : | x |
≠
100 (2n–1) ( n is an integer)
cos x Deg : 0 < l x l < 4.500000008 x 10 10
Rad : 0 < l x l < 785398164.9
Grad : 0 < l x l < 5.000000009 x 10 10
sin -1 x, cos -1 x 0 < l x l < 1
sinh x, cosh x 0 < l x l < 230.2585092
tan -1 x 0 < l x l < 9.999999999 x 10 99
tanh x, tanh -1 x 0 < l x l < 9.999999999 x 10 – 1
sinh -1 x, cosh -1 x 0 < l x l < 4.499999999 x 10 99
log x, ln x x > 0
10 x – 9.999999999 x 10 99 < x < 99.99999999
e x – 9.999999999 x 10 99 < x < 230.2585092
0 < x < 1 x 10 100
x 2 l x l < 1 x 10 50
x –1 l x l < 1 x 10 100 , x ≠ 0
l x l < 1 x 10 100
x ! 0 < x < 69 , x is an integer.
Pol ( x, y ) l x l, l y l < 9.999999999 x 10 49
x 2 + y 2 < 9.999999999 x 10 99
Rec (r,
θ
) 0 < r < 9.999999999 x 10 99
Deg : 0 < l x l < 4.499999999 x 10 10
Rad : 0 < l x l < 785398163.3
Grad : 0 < l x l < 4.499999999 x 10 10
however, for tan x
Deg : l θ
l
≠ 90 (2n–1)
Rad : l
θ
l
≠
2
π
(2n–1)
Grad : l
θ
l
≠ 100 (2n–1) (n is an integer)
l a l , b, c < 1 x 10 100 , 0 < b, c
l x l < 1 x 10 100
Sexagesimal ↔ Decimal transformation
0 0 0 < l x l < 999999 59
x y x > 0 : – 1 x 10 100 < y log x < 100
x = 0 : y > 0
x < 0 : y = n, 1/(2n+1), n is an integer.
but – 1 x 10 100 < y log l x l < 100