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Four chairs are placed in a row: Photocells Variables A B
Chapter 4, Problem 4.25(choose chapter or problem)
Four chairs are placed in a row:
Each chair may be occupied (1) or empty (0). Give the minterm and maxterm expansion for each logic function described.
(a) F(A, B, C, D) is 1 iff there are no adjacent empty chairs.
(b) G(A, B, C, D) is 1 iff the chairs on the ends are both empty.
(c) H(A, B, C, D) is 1 iff at least three chairs are full.
(d) J(A, B, C, D) is 1 iff there are more people sitting in the left two chairs than in the right two chairs.
Questions & Answers
QUESTION:
Four chairs are placed in a row:
Each chair may be occupied (1) or empty (0). Give the minterm and maxterm expansion for each logic function described.
(a) F(A, B, C, D) is 1 iff there are no adjacent empty chairs.
(b) G(A, B, C, D) is 1 iff the chairs on the ends are both empty.
(c) H(A, B, C, D) is 1 iff at least three chairs are full.
(d) J(A, B, C, D) is 1 iff there are more people sitting in the left two chairs than in the right two chairs.
ANSWER:Step 1 of 5
Given:
Four chairs are placed in a row:
Each chair may be occupied (1) or empty (0).
Consider the table for the given set as:
Inputs | Outputs | ||||||
A | B | C | D | F | G | H | J |
0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 |
0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 |
0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 |
0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 |
0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 |
0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 |
1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 |
1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 |
1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 |
1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 |
1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 |
1 | 1 | 1 | 0 | 1 | 1 | 1 | |
1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 |