Solveeit Logo

Question

Question: The truth table for the following logic circuit is. <img src="https://cdn.pureessence.tech/canvas_6...

The truth table for the following logic circuit is.

A

ABY000011101110\left| \begin{array} { l l l } A & B & Y \\ 0 & 0 & 0 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0 \end{array} \right|

B

ABY000011101111\left| \begin{array} { l l l } A & B & Y \\ 0 & 0 & 0 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 1 \end{array} \right|

C
D

ABY001011100111\left| \begin{array} { c c c } A & B & Y \\ 0 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 0 & 0 \\ 1 & 1 & 1 \end{array} \right|

Answer

ABY000011101110\left| \begin{array} { l l l } A & B & Y \\ 0 & 0 & 0 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0 \end{array} \right|

Explanation

Solution

:

The truth table for the given logic circuit is

ABAˉ\bar{A}Bˉ\bar{B}Aˉ.B\bar{A}.BA.BˉA.\bar{B}Y=Aˉ.B+A.BˉY = \bar{A}.B + A.\bar{B}
0011000
0110101
1001011
1100000