Question

If E=0 and M=0, then which of the following statement is true about X?

(a) Not a number

(b) Infinity

(c) Defined

(d) Zero

This question was addressed to me in my homework.

I want to ask this question from Representation of Numbers in chapter Discrete Time Systems Implementation of Digital Signal Processing

Answer 1

Right option is (d) Zero

The best explanation: According to the IEEE 754 standard, for a 32-bit machine, single precision floating point number is represented as X=(-1)^s.2^E-127(M).

From the above equation we can interpret that,

If E=0 and M=0, then the value of X is 0.