The complex conjugate of a complex number is defined as two complex number having an equal real part and imaginary part equal in magnitude but opposite in sign. For example, the complex conjugate of 3 + 4i is 3 - 4i, where the real part is 3 for both and imaginary part varies in sign. Here given the complex conjugate formula for complex numbers, where 'z' represents complex conjugate, 'a' represents real part of the number and 'b' represents imaginary part of the number.