Answered: Using IEEE 754 representation for…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

1)Using IEEE 754 representation for single precision floating point, give the 32-
bit binary encoding for the numbers below.
Show the sign, exponent, and mantissa (significand).
a. -2.40625
b. 11.2265625

Expert Solution

Step 1: Intro

The sign bit, exponent, and mantissa (significand) are the three components of the 32-bit IEEE 754 encoding for single-precision floating-point values. The binary representation of a number consists of three parts: the exponent, mantissa and sign bit. The exponent section represents the exponent of the number in binary form, the mantissa represents the fractional portion of the number, and the sign bit determines whether the number is positive or negative.

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