Solution to 2. Produce truth tables for given Boolean expressions. i. A̅ B̅ C+A B̅ C̅ + … - Sikademy
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2. Produce truth tables for given Boolean expressions. i. A̅ B̅ C+A B̅ C̅ + ABC +A̅ B C̅ ii. (A+B̅+C)(A+B+C)(A̅+B+C̅)

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i)

W= \overline{A}\;\overline{B}\;C, \; X= A\; \overline{B} \; \overline{C}, \; Y= A\;B\;C , \; Z= \overline{A}\; B\; \overline{C}

\def\arraystretch{1.5} \begin{array}{c:c:c:c:c:c:c:c} A & B & C & W& X& Y & Z & W+X+Y+Z\\ \hline 0 & 0 & 0 & 0 &0&0&0&0\\ \hdashline 0 & 0 & 1 & 1 &0&0&0&1\\ \hdashline 0 & 1 & 0 & 0 &0&0&1&1\\ \hdashline 0 & 1 & 1 & 0 &0&0&0&0\\ \hdashline 1 & 0 & 0 &0 &1&0&0&1\\ \hdashline 1 & 0 & 1&0 &0&0&0&0\\ \hdashline 1 & 1 & 0 & 0 &0&0&0&0\\ \hdashline 1 & 1 & 1 & 0 &0&1&0&1\\ \end{array}


ii)

X=A+\overline{B} +C, \; Y=A+B+C,\; Z=\overline{A}+B+\overline{C}

\def\arraystretch{1.5} \begin{array}{c:c:c:c:c:c:c} A & B & C & X& Y & Z &XYZ\\ \hline 0 & 0 & 0 & 1 &0&1&0 \\ \hdashline 0 & 0 & 1 & 1 &1&1&1\\ \hdashline 0 & 1 & 0 & 0 &1&1&0 \\ \hdashline 0 & 1 & 1 & 1 &1&1&1\\ \hdashline 1 & 0 & 0 &1 &1&1&1\\ \hdashline 1 & 0 & 1&1 &1&0&0\\ \hdashline 1 & 1 & 0 & 1 &1&1&1\\ \hdashline 1 & 1 & 1 & 1 &1&1&1\\ \end{array}


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