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We want to design a circuit that counts the number of 1s present on 3 binary  inputs a, b, c and outputs that number in binary using 2 outputs y and z. For example an input of a=1,  b=1, c=0 has two ones, so the output would be 210 = 102 i.e.,  y=1, z=0.    a) Express y and z as sum of min‐terms of variables a, b and c

We want to design a circuit that counts the number of 1s present on 3 binary  inputs a, b, c and outputs that number in binary using 2 outputs y and z. For example an input of a=1,  b=1, c=0 has two ones, so the output would be 210 = 102 i.e.,  y=1, z=0.    a) Express y and z as sum of min‐terms of variables a, b and c

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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We want to design a circuit that counts the number of 1s present on 3 binary 
inputs a, b, c and outputs that number in binary using 2 outputs y and z. For example an input of a=1, 
b=1, c=0 has two ones, so the output would be 210 = 102 i.e.,  y=1, z=0. 

 

a) Express y and z as sum of min‐terms of variables a, b and c
b) Simplify the expressions for y and z using K maps.
c) Draw the logical circuits for y and z using gates. 

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