Boolean Algebra

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Computers are built on electronic switches (transistors). Complex computations are accomplished within a computer by combining a large number of such switches, each producing either of the two voltage states, {low, high}, which we label {0, 1}.

We need a tool to help us to design a computer, which can perform desired tasks by combining and producing a suitable number of {low, high} voltage states.  

What is the best tool? Arithmetic? high + high or high × low does not make sense (low, high are not numbers but physical

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