Determining the function of an 8x1 multiplexer and implementing it using a decoder

Question

Express the function implemented by the given circuit as a sum of minterms and write the result in decimal notation in the form F = Σm(...). Then, draw the circuit that implements the same function using a decoder and appropriate logic gates.

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Here is my solution:

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This is the 4x16 decoder ^

Is it right?

• periblepsis: A quick skim of your table looks right to me. But I only looked at 001, 100, and 101. The rest should have 0 output.

Answer 1

Yes, it is correct.

Using a truth table as an intermediate help is a good thing.