Question

If 0<E<255, then which of the following statement is true about X?

(a) Fractional number

(b) Infinity

(c) Mixed number

(d) Zero

I got this question in quiz.

My question is based upon Representation of Numbers in section Discrete Time Systems Implementation of Digital Signal Processing

Answer 1

The correct option is (c) Mixed number

To explain I would say: 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 0<E<255, then X=(-1)^s.2^E-127(1.M)=>X is a mixed number.