Which of the following Boolean equations is i | vedclass

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(D) According to De Morgan's Laws: $1$. $\overline{A.B} = \overline{A} + \overline{B}$ $2$. $\overline{A+B} = \overline{A}.\overline{B}$ Let's evaluat

Vedclass · Accepted Answer

$\overline A \, + \,\,\overline A \, = \,\,\,1$

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(D) According to De Morgan's Laws: $1$. $\overline{A.B} = \overline{A} + \overline{B}$ $2$. $\overline{A+B} = \overline{A}.\overline{B}$ Let's evaluate each option: Option $A$: $\overline{\overline{A}.\overline{B}} = \overline{\overline{A}} + \overline{\overline{B}} = A + B$. (Correct) Option $B$: $\overline{\overline{A} + \overline{B}} = \overline{\overline{A}} . \overline{\overline{B}} = A.B$. (Correct) Option $C$: $\overline{(\overline{A.B}).(\overline{A.B})} = \overline{\overline{A.B}} = A.B$. (Correct) Option $D$: $\overline{A} + \overline{A} = \overline{A}$. The equation states $\overline{A} + \overline{A} = 1$,which is incorrect because it is only true if $A=0$. Therefore,option $D$ is the incorrect equation.

Which of the following Boolean equations is incorrect?

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