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multiplexer
36.6
The value that results from the substitution of a given input into an expression or function is the output. The value substituted into an expression or function is an input.
A function that maps an input onto itself is called an identity function. In other words, the output of the function is the same as the input. The identity function is represented by the equation f(x) = x.
sounds to me like a digital multiplexer (MUX)