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| | ==Derived Functions== | | ==Derived Functions== |
| | + | From the three functions mentioned above, other functions can be derived. Some common derivatives are NAND, NOR and XOR. See the table below for a numerical description. |
| | + | |
| | + | {| class="wikitable" align="left" |
| | + | ! colspan=3 | NAND: (A•B)'=C !! !! colspan=3 | NOR: (A+B)'=C !! !! colspan=3 | XOR |
| | + | |- align="center" |
| | + | | '''A''' || '''B''' || '''C''' || rowspan=5 | || '''A''' || '''B''' || '''C''' || rowspan=5 | || '''A''' || '''B''' || '''C''' |
| | + | |- align="center" |
| | + | | 0 || 0 || 1 || 0 || 0 || 1 || 0 || 0 || 0 |
| | + | |- align="center" |
| | + | | 0 || 1 || 1 || 0 || 1 || 0 || 0 || 1 || 1 |
| | + | |- align="center" |
| | + | | 1 || 0 || 1 || 1 || 0 || 0 || 1 || 0 || 1 |
| | + | |- align="center" |
| | + | | 1 || 1 || 0 || 1 || 0 || 0 || 1 || 1 || 1 |
| | + | |} |
| | | | |
| | ===NAND and NOR=== | | ===NAND and NOR=== |
| | + | Performing a NOT operation |
| | | | |
| | ===XOR=== | | ===XOR=== |