VIT University

Question

A number F is represented in floating point notation as a triplet <s,E,M> where s is the sign bit, E is the exponent and M is the mantissa. Consider the floating point representation similar to IEEE-754 but with the following constraints, ‘s’ as 1 bit (0 for positive and 1 for negative), ‘E’ as 7 bit long and ‘M’ as 8 bit. Also the exponent is represent as a true exponent without any biasing.

Represent the number 75.75 in floating point using the above consideration.

Answer 1

note that exponent is not biased.

75.75 in binary representation  01001011.11

1.00101111x2$^6$

given positive number, so s = 0.

6 is true exponent, so E = 0000110

Mantissa = 00101111