Chapter 3, Problem 5PE

Program Plan Intro

IEEE binary32 format:

The diagrammatic representation for IEEE binary32 format is given below:

This format contains three fields such as sign bit, exponent and mantissa.

• Sign bit: This bit contains 1 bit. Here, “0” denotes positive number and “1” denotes negative number.
• Exponent:
  • The exponent field contains “8” bits.
  • This field required to denote both positive and negative exponents.
  • The value of exponent is computed by adding a bias with actual exponent. That is, “value of exponent = actual exponent + bias”.
• Mantissa:
  • This field contains “23” bits.
  • It is a part of a value in scientific notation or a floating-point number, containing significant digits.