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JEE Main 202127 JulyEvening Shift
Exam
JEE Main
Year
2021
Date
27 July
Shift
Evening Shift
Subject
Physics
Chapter
Semiconductors

JEE Main 2021 · 27 July · Evening Shift · Physics · Semiconductors

Find the truth table for the function Y of A and B represented in...

Find the truth table for the function YY of AA and BB represented in the following figure.

Find the truth table for the function Y of A and B represented in the following figure.

Options

  1. A{ABY000011100110\begin{cases}A & B & Y \\ 0 & 0 & 0 \\ 0 & 1 & 1 \\ 1 & 0 & 0 \\ 1 & 1 & 0\end{cases}
  2. B{ABY001010101111\begin{cases}A & B & Y \\ 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 1 \\ 1 & 1 & 1\end{cases}
  3. C{ABY000010100111\begin{cases}A & B & Y \\ 0 & 0 & 0 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \\ 1 & 1 & 1\end{cases}
  4. D{ABY000011101111\begin{cases}A & B & Y \\ 0 & 0 & 0 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 1\end{cases}

Correct answer

B. {ABY001010101111\begin{cases}A & B & Y \\ 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 1 \\ 1 & 1 & 1\end{cases}

Step-by-step solution

Find the truth table for the function Y of A and B represented in the following figure.

Y=A⋅B+B¯Y = A \cdot B + \overset{¯}{B}

{ABY001010101111\begin{cases}A & B & Y \\ 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 1 \\ 1 & 1 & 1\end{cases}

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