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What is the IEEE single-precision hex representation for -27.6015625? (in hex)

What is the IEEE single-precision hex representation for -27.6015625? (in hex)

Database System Concepts
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:** What is the IEEE single-precision hex representation for -27.6015625? (in hex) **Answer Box:** [Enter your answer here] *Explanation:* This question is asking for the IEEE 754 single-precision floating-point representation in hexadecimal format for the decimal number -27.6015625. IEEE 754 single-precision floating-point numbers are represented using 32 bits, divided into three parts: 1 bit for the sign, 8 bits for the exponent, and 23 bits for the fraction (mantissa). The answer should be provided as a hexadecimal string reflecting the bit pattern corresponding to the given decimal number.
Transcribed Image Text:**Question:** What is the IEEE single-precision hex representation for -27.6015625? (in hex) **Answer Box:** [Enter your answer here] *Explanation:* This question is asking for the IEEE 754 single-precision floating-point representation in hexadecimal format for the decimal number -27.6015625. IEEE 754 single-precision floating-point numbers are represented using 32 bits, divided into three parts: 1 bit for the sign, 8 bits for the exponent, and 23 bits for the fraction (mantissa). The answer should be provided as a hexadecimal string reflecting the bit pattern corresponding to the given decimal number.
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Explanation and calculation::

We need to convert the number into (32 bit) single precision binary first then convert it into hexadecimal.

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