In two-valued Boolean algebra, the maximum number of Boolean functions for two…
2023
In two-valued Boolean algebra, the maximum number of Boolean functions for two variables will be
- A.
8
- B.
12
- C.
16
- D.
More than one of the above
- E.
None of the above
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Correct answer: C
In two-valued Boolean algebra, a Boolean function of two variables takes two inputs, each of which can be 0 or 1. This gives 2^2 = 4 possible input combinations. For each of these 4 input combinations, the output can be either 0 or 1. So, the total number of possible functions is 2^4 = 16. Therefore, the maximum number of Boolean functions for two variables is 16.