1) a) simplify the following Boolean expression(show all steps): W'X'YZ'+WX'YZ'+WXYZ+W'X'Y'Z'T+W'X'YZ'+WXY'Z+WX'YZ'+WX'Y'Z+W'XYZ+W'X'Y'Z'T' the answer should be X'YZ'+W'X'Z'+WY'Z+XYZ b) prove the equality of these two expressions using a truth table. show all intermediate steps c) show that the simplifcation process in (a) has significantly reduced the number of logic gates required to implement the expression by: * drawing the two networks using only 2-input AND and OR gates. assume that you can use complemented variables as inputs. do not simplify * how many gates have been saved by this simplification ?
1) a) simplify the following Boolean expression(show all steps): W'X'YZ'+WX'YZ'+WXYZ+W'X'Y'Z'T+W'X'YZ'+WXY'Z+WX'YZ'+WX'Y'Z+W'XYZ+W'X'Y'Z'T' the answer should be X'YZ'+W'X'Z'+WY'Z+XYZ b) prove the equality of these two expressions using a truth table. show all intermediate steps c) show that the simplifcation process in (a) has significantly reduced the number of logic gates required to implement the expression by: * drawing the two networks using only 2-input AND and OR gates. assume that you can use complemented variables as inputs. do not simplify * how many gates have been saved by this simplification ?
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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1) a) simplify the following Boolean expression(show all steps):
W'X'YZ'+WX'YZ'+WXYZ+W'X'Y'Z'T+W'X'YZ'+WXY'Z+WX'YZ'+WX'Y'Z+W'XYZ+W'X'Y'Z'T'
the answer should be X'YZ'+W'X'Z'+WY'Z+XYZ
b) prove the equality of these two expressions using a truth table. show all intermediate steps
c) show that the simplifcation process in (a) has significantly reduced the number of logic gates required to implement the expression by:
* drawing the two networks using only 2-input AND and OR gates. assume that you can use complemented variables as inputs. do not simplify
* how many gates have been saved by this simplification ?
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