Addition and multiplication of floating point arithmetic

Question

Explain how the addition & multiplication can be carried out in the floating point arithmetic?

Answer 1

In floating point arithmetic, multiplication is determined as follows,

Let f1 = M1*2c1 and f2 = M2*2c2. Then f3 = f1*f2 = (M1*M2) 2(c1+c2)

That means, mantissa is multiplied by using the fixed-point arithmetic and exponents are added.  The sum of two floating-point numbers is performed by shifting the bits of mantissa of smaller number to the right until the exponents of two numbers are equal and then adding mantissas.