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Perform binary subtraction using addition with the two's complement representation of the following numbers Use 4-bit binary values for your solutions. Be sure to show all steps of your work. (a) (7) ten + (-4) ten (b) (-4) ten+ (-2) ten (c)(3) ten + (-6) ten (d) (-8) ten+ (-1) ten

Perform binary subtraction using addition with the two's complement representation of the following numbers Use 4-bit binary values for your solutions. Be sure to show all steps of your work. (a) (7) ten + (-4) ten (b) (-4) ten+ (-2) ten (c)(3) ten + (-6) ten (d) (-8) ten+ (-1) ten

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Perform binary subtraction using addition with the two's complement representation of the following numbers. Use 4-bit binary values for your solutions. Be sure to show all steps of your work. (a) (7) ten + (-4) ten (b) (-4) ten+ (-2) ten (c)(3) ten + (-6) ten (d) (-8) ten+ (-1) ten
Transcribed Image Text:Perform binary subtraction using addition with the two's complement representation of the following numbers. Use 4-bit binary values for your solutions. Be sure to show all steps of your work. (a) (7) ten + (-4) ten (b) (-4) ten+ (-2) ten (c)(3) ten + (-6) ten (d) (-8) ten+ (-1) ten
Expert Solution
Introduction

Negative decimal numbers are represented by using the 2's complement of the number. 

2's complement of a binary number can be calculated as find the 1's complement of the binary number and add 1 gives the 2's complement of the number.

The range of 4 -bit binary numbers can be represented in a range of -8 and 7 ( -8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7)

 =-2(4-1)   to  2(4-1)-1=-23   to  23-1=-8   to   7

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