Question: 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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