The diagram of a logic circuit is given below. The output `F` of the circuit is represented by A. `W.(X+Y)`B. `W.(X.Y)`C. `W+(X.Y)`D. `W+(X+Y)`

The diagram of a logic circuit is given below. The output `F` of the c

1.	The diagram of a logic circuit is given below. The output `F` of the circuit is represented by A. `W.(X+Y)`B. `W.(X.Y)`C. `W+(X.Y)`D. `W+(X+Y)`
Answer» Correct Answer - C Output of upper `OR` gate=`W+X` Output of lower `OR` gate =`W+Y` Net output `F=(W+X)(W+Y)` `=WW+WY+XW+XY` (Since `WW=W`) `=W(1+Y)+XW+XY` (Since `1+Y=1`) `=W+XW+XY=W(1+W)+XY=W+XY`

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The diagram of a logic circuit is given below. The output `F` of the circuit is represented by A. `W.(X+Y)`B. `W.(X.Y)`C. `W+(X.Y)`D. `W+(X+Y)`

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