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Consider a multiplexer with X and Y as data inputs and Z as control input, Z = 0 selects input X and Z = 1 selects input Y. What are the connections required to realize the 2-variable Boolean function f = T + R, without using, any additional hardware?
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- R to X, 1 to Y, T to Z
- R to X, R to Y, T to Z
- R to X, R to Y, 0 to Z
- R to X, 0 to Y, T to Z
Correct Option: A
Given that multiplexer input X and Y Z as a control line
By the defination of 2 × 1 Mux, we get
f = ZX + ZY.... (i)
and required output
f = T + R.... (ii)
on comparing equations (i) and (ii) we get
R = X, Y = 1 and T = Z
