Homework SourseList the truth table of the function a F xy xy yz b F bc
List the truth table of the function: (a) F = xy + xy\' + y\'z (b) F = bc + a\'c\'
Solution
(a) F=XY+XY\'+Y\'Z
(b)F=bc+a\'c\'
| X | Y | Z | Y\' | XY | XY\' | Y\'Z | F=XY+XY\'+Y\'Z |
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 |
| 0` | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 |
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 |
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 |
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 |
