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a) How do modern computers represent negative numbers (not floating points)? Why do modern computers use this technique of representation?

a) How do modern computers represent negative numbers (not floating points)? Why do modern computers use this technique of representation?

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
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a) How do modern computers represent negative numbers (not floating points)? Why do modern computers use this technique of representation? b) Using 8 bits show how -61 is represented. Show your work and represent the result in hex as well. c) If the number is a floating point number and the architecture used is 1 bit sign, 7 bits of exponent and 8 bits of fraction, how is the number -1.75 represented in hex? -- show your work. d) What is the range of de-normalized values in the architecture given in part-c? Show your work and represent the values in decimal.
Transcribed Image Text:a) How do modern computers represent negative numbers (not floating points)? Why do modern computers use this technique of representation? b) Using 8 bits show how -61 is represented. Show your work and represent the result in hex as well. c) If the number is a floating point number and the architecture used is 1 bit sign, 7 bits of exponent and 8 bits of fraction, how is the number -1.75 represented in hex? -- show your work. d) What is the range of de-normalized values in the architecture given in part-c? Show your work and represent the values in decimal.
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