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Compute (-1110) - (2110) in 6 bit 2's complement binary using the fact that A-B = A + (-B). (|i.e. add the 2's complement of 2110 instead of subtracting). Indicate if carry or overflow occurs or does not occur.

Compute (-1110) - (2110) in 6 bit 2's complement binary using the fact that A-B = A + (-B). (|i.e. add the 2's complement of 2110 instead of subtracting). Indicate if carry or overflow occurs or does not occur.

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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Compute (-110) - (2110) in 6 bit 2's complement binary using the fact that A-B = A + (-B). ( i.e. add the 2's complement of 2110 instead of subtracting). Indicate if carry or overflow occurs or does not occur.
Transcribed Image Text:Compute (-110) - (2110) in 6 bit 2's complement binary using the fact that A-B = A + (-B). ( i.e. add the 2's complement of 2110 instead of subtracting). Indicate if carry or overflow occurs or does not occur.
Expert Solution
Step 1

As per the question, 6-bit binary representation is being used for the given numbers:

  • Representation for 1110: 
    • 1110=001011 2
    • Corresponding 1's Complement(Replace 0s from 1s and 1s from 0s): 1101002 
    • Corresponding 2's Complement: 1101002+0000012=1101012
    • Hence -1110 is represented as 1101012
  • Representation for 2110:
    • 2110=010101 2
    • Corresponding 1's Complement(Replace 0s from 1s and 1s from 0s):101010 2
    • Corresponding 2's Complement: 101010 2+0000012=101011 2
    • Hence -2110 is represented as 1101012
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