You need to show detail work on how you get the answer.  Dont use answers from other websites please! Please type your answer not picture Represent the decimal number -77 in 8-bit binary number using the following representation methods: a) Two’s complement b) Signed-magnitude

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
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You need to show detail work on how you get the answer. 

Dont use answers from other websites please!

Please type your answer not picture

Represent the decimal number -77 in 8-bit binary number using the following representation methods:

a) Two’s complement

b) Signed-magnitude

Expert Solution
Two's complement

Represent the number in binary format

Then find the one's complement and add 1 to it

The result will be two's complement which is negative of initial positive number

 

77 is represented using 8 bit as 01001101

One's complement is 10110010

Two's complement is 10110011

 

Hence, -77 in 8-bit binary number using Two's complement is represented as 10110011

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