Which of the following Boolean expressions is | vedclass

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(D) According to De Morgan's laws:$1$. $\overline{A \cdot B} = \bar A + \bar B$$2$. $\overline{A + B} = \bar A \cdot \bar B$Let's evaluate each option

Vedclass · Accepted Answer

$\bar 1 + \bar 1 = 1$

Vedclass · Answer

(D) According to De Morgan's laws:$1$. $\overline{A \cdot B} = \bar A + \bar B$$2$. $\overline{A + B} = \bar A \cdot \bar B$Let's evaluate each option:$A$: $\overline {\bar A \cdot \bar B} = \overline{\bar A} + \overline{\bar B} = A + B$. This is correct.$B$: $\overline {\bar A + \bar B} = \overline{\bar A} \cdot \overline{\bar B} = A \cdot B$. This is correct.$C$: $\overline{\overline {A \cdot B}} = A \cdot B$ (Double negation law). This is correct.$D$: $\bar 1$ is the complement of $1$,which is $0$. So,$\bar 1 + \bar 1 = 0 + 0 = 0$. The given expression states it equals $1$,which is incorrect.

Which of the following Boolean expressions is not correct?

Similar Questions

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