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Implement the function by simplifying and creating a truth table. F(W,X,Y,Z)= ((W^X)) | (~(Y&Z)) where ^ (XOR), | (OR), ~ (inverse) and &(AND)

Implement the function by simplifying and creating a truth table. F(W,X,Y,Z)= ((W^X)) | (~(Y&Z)) where ^ (XOR), | (OR), ~ (inverse) and &(AND)

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
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Implement the function by simplifying and creating a truth table. F(W,X,Y,Z)= ((W^X)) | (~(Y&Z)) where ^ (XOR), | (OR), ~ (inverse) and &(AND)

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Step 1: Explanation

The given function is:

F(W,X,Y,Z)= ((W^X)) | (~(Y&Z)) where ^ (XOR), | (OR), ~ (inverse) and &(AND)

 

Simplify the given function as:

F(W,X,Y,Z)= ((W XOR X)) OR (~(Y AND Z))

 

XOR- outputs true only when inputs differ.

OR- outputs true if any of the input is true.

INVERSE- reverse the output.

AND- requires both the input to be true for the result to be true.

 

As here we have four variables so, the total inputs will be 16 i.e. 2 to the power 4.

 

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