A boolean function is a function that only works with values that can only have two values, often called "true" and "false", or alternately, "1" and "0".
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Boolean is a 'true or false' logic in programming - if you define a function as a Boolean function, the only inputs it can have are true or false, and the output will vary dependant on the input
One use of Boolean algebra is to minimize any function or logic gate.
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A logical or boolean function is one that works with logical or boolean values - values that can only be either true, or false.
It is normally regarded as an equation, where y is a function of x. It is possible to regard it as a boolean expression (the equality is true or false).