The number of possible Boolean function that can be defined for n Boolean variables over n- valued Boolean algebra is _______.

Explanation: Boolean Functions (Expressions): It is useful to know how many different Boolean functions can be constructed on a set of Boolean variables. When there are no variables: There are two expressions False = 0 and True = 1 For one variable p: Four functions can be constructed. Recall, a function maps each input value of a variable to one and only one output value. 1. The False(p) function maps each value of p to 0 (False). 2. The identity(p) function maps each value of p to the identical value. 3. The flip(p) function maps False to True and True to False. 4. The True(p) function maps each value of p to 1 (True). So, For one variable p, 4 = 2^1 functions can be constructed. This information can be collected into a table For one variable p and q, 16 Boolean functions can be constructed. Boolean

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