Test by Bikram | Mock GATE | Test 2 | Question: 53

Question

A logic circuit has three input bits: $x_0$, $x_1$, and $x_2$, where $x_0$ is the least significant bit and $x_2$ is the most significant bit. The output from the circuit is $1$ when its input is any of the $3-bit$ numbers $1$, $4$, $5$, or $6$; otherwise, it is $0$. Which of the following expressions represents the output from this circuit?

Here $\sim x$ means Inverse of $x$ .

• A. $\sim x_2 +\sim x_1 + \sim x_0$
• B. $\sim x_2x_0 + \sim x_2 +\sim x_1$
• C. $x_2+ \sim x_1x_0$
• D. $\sim x_1x_0+x_2 \sim x_0$

Comments

option $D$ is misprinted!

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@Bikram

sir none of option is matching with ans.

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@Arjun Sir, Kindly correct the options of this question. Last option which is answer and it's wrong. I got confused in the exam.

Answer 1

Ans D.)

Comments

answer not match.

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@Bikram Sir, I am getting option c as the answer/ what am i doing wrong here?

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Check for wrong combination, like C OPTION is giving o/p 1 when giving $x_{2}x_{1}x_{0}$ as i/p 111(7).

Answer 2

f(x₂x₁x₀) = $\sum$ (1,4,5,6) = ~x₁x₀  +  x₂~x₀