Question

Make a 4-to-16 decoder and show its circuit diagram in both ways: -Create every minterm via...

  1. Make a 4-to-16 decoder and show its circuit diagram in both ways:

-Create every minterm via multiple 4-input AND gates.

-Employ hierarchical design, use smaller decoders and two groups of 8 AND gates.

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Answer #1

A decoder is a combinatorial circuit that converts binary information from the n coded inputs to a maximum of 2n unique outputs. The question is about 4-to-16 decoder, i.e., 4 inputs to 24 = 16 outputs. We have to use 16 AND gates for the minterms. Let the inputs be A0, A1, A2, A3. Each Di = A3A2A1A0.

Following is the 4-to-16 decoder

This 4-to-16 decoder can be formed using two 3-to8 decoders. Following is a 3-to-8 decoder

Now we can use two such decoders to construct a 4-to-16 decoder as follows

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