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PROBLEM # 2:25 I Show via truth table, then with Boolean algebra that A O B = AB + ĀB. Cite the laws and theorems used. (XOR or "logical inequivalence")

PROBLEM # 2:25 I Show via truth table, then with Boolean algebra that A O B = AB + ĀB. Cite the laws and theorems used. (XOR or "logical inequivalence")

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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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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PROBLEM # 2-25 I Show via truth table, then with Boolean algebra that A O B = AB + ĀB. Cite the laws and theorems used. (XOR or "logical inequivalence")
Transcribed Image Text:PROBLEM # 2-25 I Show via truth table, then with Boolean algebra that A O B = AB + ĀB. Cite the laws and theorems used. (XOR or "logical inequivalence")
Expert Solution
Step 1 :

- We know that an XOR operation delivers 0 if the bits used are same else they deliver 1 only when the bits are different.

 


- We need to check if the Xor operation between A and B gives the result AB' + A'B or not.

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