Systems Architecture
Systems Architecture
7th Edition
ISBN: 9781305080195
Author: Stephen D. Burd
Publisher: Cengage Learning
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Chapter 3, Problem 5PE
Program Plan Intro

IEEE binary32 format:

The diagrammatic representation for IEEE binary32 format is given below:

Systems Architecture, Chapter 3, Problem 5PE

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.

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