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How many boolean functions can be designed for 4 inputs? 65,536 8 256 64

Question

How many boolean functions can be designed for 4 inputs? 65,536 8 256 64

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Solution

The number of Boolean functions that can be designed for n inputs is 2^(2^n).

Here's the step-by-step calculation:

  1. Identify the number of inputs. In this case, it's 4.

  2. Calculate 2^n. With 4 inputs, this would be 2^4 = 16.

  3. Calculate 2^(2^n). This would be 2^16 = 65,536.

So, for 4 inputs, you can design 65,536 Boolean functions.

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