Sample IEEE-representation-related question

The IEEE floating-point format has a sign bit, mantissa bits, and exponent bits.

The meaning of such a number, if the exponent bits do not represent one of the special signal values, is ±1.{mantissa}×2({exponent}-127).

This question concerns identifying the value represented by a particular value in IEEE floating-point. Our number has a sign bit of zero (meaning that the value is greater-than-or-equal-to zero), a mantissa field of 0100000000000 (thus the mantissa value is 1.012, as the 1 before the binary point is implicit), and an exponent field of 01111100 (these eight bits represent the number 124).

What is the value represented in usual, base ten, everyday terms?

Answer:

5/32


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