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Which of the following gives the correct number of multiplexers required to build a 32 x 1 multiplexer?*Two 16 x 1 muliplexer and one 2 x 1 multiplexerThree 8 x 1 mux and one 2 x 1 multiplexerTwo 8 x 1 mux and one 2 x 1 multiplexerThree 16 x 1 mux and one 2 x 1 multiplexer

Question

Which of the following gives the correct number of multiplexers required to build a 32 x 1 multiplexer?*Two 16 x 1 muliplexer and one 2 x 1 multiplexerThree 8 x 1 mux and one 2 x 1 multiplexerTwo 8 x 1 mux and one 2 x 1 multiplexerThree 16 x 1 mux and one 2 x 1 multiplexer

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Solution

The correct answer is "Two 16 x 1 multiplexer and one 2 x 1 multiplexer".

Here's why:

A 32 x 1 multiplexer can be constructed using smaller multiplexers.

First, we can use two 16 x 1 multiplexers to handle the 32 inputs. Each 16 x 1 multiplexer will handle half of the inputs.

Then, we can use a 2 x 1 multiplexer to select the output from one of the two 16 x 1 multiplexers based on the most significant bit of the select input.

So, in total, we need two 16 x 1 multiplexers and one 2 x 1 multiplexer to build a 32 x 1 multiplexer.

This problem has been solved

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