2 votes 2 votes For a Boolean variable $x$, which of the following statements is/are FALSE?$x .1=x$$x+1=x$$x \cdot x=0$$x+\bar{x}=1$ Digital Logic gatecse2024-set2 digital-logic boolean-algebra easy multiple-selects + – Arjun asked Feb 16 • edited Feb 21 by makhdoom ghaya Arjun 2.4k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
3 votes 3 votes $x.1=x$ identity law. it is true.$x+1=x$ it is false. it should be $x+1=1$ $x.x=0$ it is false, it should be $x.x=x$$x+\bar x=1$ complement law. it is trueSo option $(B,C)$ is false here. Hira Thakur answered Feb 16 Hira Thakur comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes B C souvik adak answered Feb 16 souvik adak comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes B,Cx+1=x it is not true x+1=1 is correctx.x=0 is not correct x.x=x is correct Abha Gupta answered Apr 29 Abha Gupta comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes In this question, Boolean algebra will be used: + means OR . means ANDx̄ means Complement𝑥.1=𝑥 identity law. it is true.𝑥+1=𝑥, it should be 𝑥+1=1 (Anything OR 1 is 1)𝑥.𝑥=0, It should be 𝑥.𝑥=𝑥𝑥+𝑥¯=1. it is trueSo option (𝐵,𝐶) are false here. MukulGupta answered Apr 29 MukulGupta comment Share Follow See all 0 reply Please log in or register to add a comment.