possible toss can result in a tail (represented by 1) or a head (represented by 0). Let the logical variables X, Y, Z represent the outcomes of the toss corresponding to the first, second and third coin respectively. Sam wants to implement a particular logic function F. It is known that F(X,Y,Z) is 1 if exactly one coin or none of the coins results in a tail. Express F as:
possible toss can result in a tail (represented by 1) or a head (represented by 0). Let the logical variables X, Y, Z represent the outcomes of the toss corresponding to the first, second and third coin respectively. Sam wants to implement a particular logic function F. It is known that F(X,Y,Z) is 1 if exactly one coin or none of the coins results in a tail. Express F as:
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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Question
Sam has a set of three coins. Each possible toss can result in a tail (represented by 1) or a head (represented by 0). Let the logical variables X, Y, Z represent the outcomes of the toss corresponding to the first, second and third coin respectively. Sam wants to implement a particular logic function F. It is known that F(X,Y,Z) is 1 if exactly one coin or none of the coins results in a tail. Express F as:
1）as a minterm expansion.
2）as a maxterm expansion.
Expert Solution
Step 1
Here first we need to write the truth table
F=1 when only one of X,Y,Z is 1 or all are 0.
The truth table is
| X | Y | Z | F |
| 0 | 0 | 0 | 1 |
| 0 | 0 | 1 | 1 |
| 0 | 1 | 0 | 1 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 0 | 1 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 0 |
| 1 | 1 | 1 | 0 |
Step by step
Solved in 2 steps
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