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Ans: 35 Please Explain

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Well, to build 128 x 1 MUX,

First, use 32 number of 4 x 1 MUX , That will result in 128 input lines and 32 output lines. This is your “X”.

Second, use 2 number of 16 x 1 MUX, That will result in 32 input lines and 2 output lines . This is your “Z”. connect these 32 input
lines to “X” output 32 lines.
Third, use 1 number of 2 x 1 MUX, That will result in 2 input lines and 1 output line. This is your “Y” . connect these 2 input lines to

“Z” output lines.
so , (X+Y+Z) = 32 + 1 + 2 = 35.
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