How many distinct five input single output Boolean functions are there?
Computer Science
Level
2
This problem's question: How many distinct five input single output Boolean functions are there?
Here are the answers, with descriptions, for 0 to 2 inputs:
| 0 inputs | 1 input | 2 inputs |
| 0 | 0 | 0 |
| 1 | Not, ! | And, & |
| Identity | (!a)&b | |
| 1 | b | |
| a&!b | ||
| a | ||
| Xor | ||
| Or, | | ||
| Nor | ||
| = | ||
| !a | ||
| (!a|b) | ||
| !b | ||
| a|!b | ||
| Nand | ||
| 1 |
The answer is 4294967296.
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1 solution
The answer is 2 2 inputs , i.e., 2, 4, 16, 256, 65536, 4294967296, 18446744073709551616, 340282366920938463463374607431768211456, ....