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Question

The total number of boolean functions, which can be realised with four variables is 


A
4
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B
16
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C
25
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D
65,536
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Solution

The correct option is D 16

The total number of Boolean functions, which can be realised with four variables is 16.

The values a, b, c, d of the function f can be either a 0 or 1. Since there are 2 choices for 4 values, there are a total of 16 = 24 = 222 different functions.

 

A Boolean-valued function is a function of the type f : X-B, where X is an arbitrary set and where B is a Boolean domain, that is a generic two-element set, whose elements are interpreted as logical values, for example, 0 = false and 1 = true, that is, a single bit of information.

 

 

 


Mathematics

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