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
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.
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