To design an 8-to-1 multiplexer using a 4-to-1 multiplexer and a 2-to-1 multiplexer, first, connect the eight input signals to two 4-to-1 multiplexers. Use the first 4-to-1 multiplexer for inputs 0-3 and the second for inputs 4-7. The outputs of these two 4-to-1 multiplexers will then be fed into a 2-to-1 multiplexer. Use the two select lines of the 4-to-1 multiplexers to choose between the outputs, and a third select line to determine which group of inputs (0-3 or 4-7) is selected.
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