GATE CSE 2024 | Set 2 | Question: 20

Question

​​​​For a Boolean variable $x$, which of the following statements is/are FALSE?

• A. $x .1=x$
• B. $x+1=x$
• C. $x \cdot x=0$
• D. $x+\bar{x}=1$

Answer 1

B C

Answer 2

•  $x.1=x$ identity law. it is true.
• $x+1=x$ it is false. it should be $x+1=1$
• $x.x=0$ it is false, it should be $x.x=x$
• $x+\bar x=1$ complement law. it is true

So option $(B,C)$ is false here.