Complex number calculations (cmplx), Cmplx mode calculation examples – Casio fx-115ES PLUS User Manual
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To determine the greatest common divisor of 28 and 35
S*(GCD) 28 1)(,) 35 )=
7
To determine the least common multiple of 9 and 15
S/(LCM) 9 1)(,) 15 )=
45
To extract the integer part of −3.5
S+(Int)- 3.5 )=
−3
To determine the largest integer that does not exceed −3.5
S-(Intg)- 3.5 )=
−4
Complex Number Calculations (CMPLX)
To perform complex number calculations, first press
N2(CMPLX) to
enter the CMPLX Mode. You can use either rectangular coordinates (
a
+
bi
)
or polar coordinates (
r
∠) to input complex numbers. Complex number
calculation results are displayed in accordance with the complex number
format setting on the setup menu.
(2 + 6
i
) ÷ (2
i
) = 3 –
i
(Complex number format:
a
+
bi
)
( 2 + 6 W(
i
)
)/( 2 W(
i
)
)=
3–
i
2
∠ 45 = '
2 +
'
2
i
Bv (Complex number format:
a
+
bi
)
2
1-(∠) 45 =
'
2 +
'
2
i
'
2 +
'
2
i
= 2
∠ 45 Bv (Complex number format:
r
∠
)
! 2 e+! 2 eW(
i
)
=
2
∠
45
Note: • If you are planning to perform input and display of the calculation
result in polar coordinate format, specify the angle unit before starting the
calculation. • The
value of the calculation result is displayed in the range
of –180°
180°. • Display of the calculation result while Linear Display
is selected will show
a
and
bi
(or
r
and
) on separate lines.
CMPLX Mode Calculation Examples
(1
–
i
)
–1
= 1
2
1
2
+
i
B (Complex number format:
a
+
bi
)
( 1 -W(
i
)
)E=
1
2
1
2
+
i
(1
+
i
)
2
+ (1 –
i
)
2
= 0
B
( 1 +W(
i
)
)w+( 1 -W(
i
)
)w=
0
To obtain the conjugate complex number of 2 + 3
i
(Complex number
format:
a
+
bi
)
12(CMPLX)2(Conjg) 2 + 3 W(
i
)
)=
2–3
i
To obtain the absolute value and argument of 1 +
i
Bv
Absolute
Value:
1w(Abs) 1 +W(
i
)
=
'
2
Argument:
12(CMPLX)1(arg)1+W(
i
)
)=
45
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