# Manuals/calci/COMPLEXNUM

COMPLEXNUM(Real,Imaginary,Suffix)

• is the real part of the complex number.
• is the imaginary part of the complex number.
• is the imaginary unit of the complex number.

## Description

• COMPLEXNUM function converts the real and imaginary coefficients into a complex number.
• A complex number is a combination of a real and an imaginary number.
• A number which is positive or negative, rational or irrational or decimals are called real numbers.
• An Imaginary number is a number that when squring it gives a negative result.
• For e.g.  . Because a negative times a negative is positive.
• A complex number is a number is in the form  , where   and   are real numbers and   is the imaginary unit. Where
• In  , here   is the real part of the complex number,   is the imaginary part of the complex number and   is the imaginary unit of a complex number like   or  .
• To mention   and  , we must use the lower case only
• In a complex number   real part is denoted by   & imaginary part is denoted by  .
• COMPLEXNUM returns the error value, when   and   are non-numeric.
•   should be either   or  , otherwise it shows error value.
• A Complex number whose real part is zero is said to be purely imaginary.
• A Complex number whose imaginary part is zero is a real number. In that cases we have to assign '0' for that part.
1. =COMPLEXNUM(5,2) gives
2. =COMPLEXNUM(5,2,["j"]) gives

## ZOS

• The syntax is to calculate COMPLEXNUM in ZOS is
•   is the real part.
•   is the imaginary part.
•   is imaginary unit which is either "i" or "j".
• E.x: COMPLEXNUM(-1..1,10..11,"j")
Complex Number

## Examples

 rn in sf RESULT COMPLEXNUM(real,imaginary,suffix) COMPLEXNUM(5,6) 5 6 5+i6 COMPLEXNUM(7,3,"j") 7 3 j 7+j3 COMPLEXNUM(4,0,"i") 4 0 i 4+i0 COMPLEXNUM(0,-4,"i") 0 (-4) i 0-i4 COMPLEXNUM(5,"j") 5 j Error

Complex Numbers