a. Represent the decimal numbers -3.5 and 12.5 in IEEE 754 single precision floating-point format. b. Show how a floating point multiplication hardware would compute the exponent value of the result?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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You will be using IEEE 754 single precision floating-point format to perform a
multiplication operation (-3.5) x (12.5).
a. Represent the decimal numbers -3.5 and 12.5 in IEEE 754 single precision
floating-point format.
b. Show how a floating point multiplication hardware would compute the exponent
value of the result?
c. Show how a floating point multiplication hardware would compute the fraction
value of the result?
d. Based on the computed fraction value in (c), normalized your result if necessary.
e. Represent the result in IEEE 754 single precision floating-point format.
f. Represent the result in decimal format.
Transcribed Image Text:You will be using IEEE 754 single precision floating-point format to perform a multiplication operation (-3.5) x (12.5). a. Represent the decimal numbers -3.5 and 12.5 in IEEE 754 single precision floating-point format. b. Show how a floating point multiplication hardware would compute the exponent value of the result? c. Show how a floating point multiplication hardware would compute the fraction value of the result? d. Based on the computed fraction value in (c), normalized your result if necessary. e. Represent the result in IEEE 754 single precision floating-point format. f. Represent the result in decimal format.
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