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Given the following truth tables AND truth table OR truth table NOT table OR truth table NOT truth table input input output input input output
Given the following truth tables | |||||||||||
AND truth table OR truth table NOT table | OR truth table | NOT truth table | |||||||||
input | input | output | input | input | output | input | output | ||||
X | Y | XY | X | Y | X+Y | X | X' | ||||
0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | ||||
0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | ||||
1 | 0 | 0 | 1 | 0 | 1 | ||||||
1 | 1 | 1 | 1 | 1 | 1 | ||||||
Using a truth table, prove that XZ=(X+Y)(X+Y)(X+Z) | |||||||||||
X | Y | Z X+Y X+Y' X'+Z (X+Y)( XZ | |||||||||
0 | 0 | 0 | |||||||||
0 | 0 | 1 | |||||||||
0 | 1 | 0 | |||||||||
0 | 1 | 1 | |||||||||
1 | 0 | 0 | |||||||||
1 | 0 | 1 | |||||||||
1 | 1 | 0 | |||||||||
1 | 1 | 1 |
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