Convert the following 32 bit FPN IEEE 754 to decimal number

Convert the following 32 bit FPN (IEEE 754) to decimal number. 10000010 10010000000000000000000 31 30 23 22 0

Solution

Answer:

Here Exponent = 10000010 in decimal it is 130 = 128 + 2 ( that means E(2) )

Mentissa = 100100000000000000000

Sign =1

Now in ieee form = 100.10000000000000000000

100 = 8 in decimal

100000000000000000000 = 524288

Therefore ,  100.10000000000000000000 = 8. 524288 in binary