There are 2^2^4 = 2^16 = 65536 distinct boolean functions with 4 boolean attributes.
A boolean function is a function in boolean logic that receives one or more boolean inputs (attributes or variables) and outputs a single boolean value. A collection of rules that specify the output for each possible combination of input values determines the boolean function's output.
There are 2n different combinations of input values for a boolean function with n attributes, and as a result, 2n possible boolean functions. For instance, there are 24 = 16 choices of input values for a boolean function with 4 attributes, meaning that there are 24 = 16 possible boolean functions.
It's crucial to remember that this figure encompasses all conceivable boolean functions, even some that aren't necessarily practical or significant. For specific input combinations, some of these functions might yield the same output, or they might not be useful at all.
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