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A decoder is a special type of circuit termed a control circuit that is used to...

A decoder is a special type of circuit termed a control circuit that is used to route data on a computer. This circuit has N inputs and 2N outputs. The N input values are interpreted as a single (unsigned) binary number representing a value between 0 and 2N-1. The decoder's job is to determine the value represented on its N input lines and then to send a 1 to one output line corresponding to this value. For example a 2-4 decoder circuit has 2 input lines and 4 output lines. If the input values are 00, then the first output line will have a value of 1, and the other output lines will have a value of 0. If the input values are 01, then the second output line will have a value of 1, and the other output lines will have a value of 0, etc.

Build a 3-8 decoder that has 3 input lines and 8 output lines. You should provide the full truth-table, the sub-expressions, the final Boolean expression, and draw the circuit.

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