There are many possible formats for floating point numbers. Consider the following 10-format where the sign ield

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There are many possible formats for floating point numbers. Consider the following 10-format

Sign Exponent Fraction

where the sign ield is one bit (1: negative, 0: positive), the exponent ield is 4 bits with an excess 8 number for the bias, and the fraction ield is a 5-bit normalized number (i.e., for all numbers except 0, the number is stored as 0.1xxxxx).

(a) What are the largest and smallest positive nonzero quantities for normalized numbers?

(b) Using this loating point format, what is the binary representation of decimal -5.675?

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Logic And Computer Design Fundamentals

ISBN: 9780133760637

5th Edition

Authors: M. Morris Mano, Charles Kime, Tom Martin

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Question Posted: Jan 08, 2024 03:48 AM

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There are many possible formats for floating point numbers. Consider the following 10-format where the sign ield

Question:

Sign Exponent Fraction

Step by Step Answer:

For the given 10format floatingpoint representation Sign 1 bit Exponent 4 bits bias of 8 Fraction 5 ...View the full answer

Logic And Computer Design Fundamentals

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