Question Number 168534 by ali009 last updated on 12/Apr/22
$$\begin{array}{|c|c|c|c|c|c|c|c|c|}{{a}}&\hline{{b}}&\hline{{c}}&\hline{{v}_{{o}} }\\{\mathrm{0}}&\hline{\mathrm{0}}&\hline{\mathrm{0}}&\hline{\mathrm{1}}\\{\mathrm{0}}&\hline{\mathrm{0}}&\hline{\mathrm{1}}&\hline{\mathrm{1}}\\{\mathrm{0}}&\hline{\mathrm{1}}&\hline{\mathrm{0}}&\hline{\mathrm{1}}\\{\mathrm{0}}&\hline{\mathrm{1}}&\hline{\mathrm{1}}&\hline{\mathrm{0}}\\{\mathrm{1}}&\hline{\mathrm{0}}&\hline{\mathrm{0}}&\hline{\mathrm{0}}\\{\mathrm{1}}&\hline{\mathrm{0}}&\hline{\mathrm{1}}&\hline{\mathrm{0}}\\{\mathrm{1}}&\hline{\mathrm{1}}&\hline{\mathrm{0}}&\hline{\mathrm{0}}\\{\mathrm{1}}&\hline{\mathrm{1}}&\hline{\mathrm{1}}&\hline{\mathrm{0}}\\\hline\end{array} \\ $$$${what}\:{is}\:{the}\:{logic}\:{gate}\:{type}\:{of}\:{this}\:{truth} \\ $$$${table}?? \\ $$
Answered by nikif99 last updated on 13/Apr/22
![in boolean algebra: v_0 =[(not a) xor (b and c)] and (not a) in binary system: v_0 =(a×2^2 +b×2^1 +c×2^0 < 3)](Q168584.png)
$${in}\:{boolean}\:{algebra}: \\ $$$${v}_{\mathrm{0}} =\left[\left({not}\:{a}\right)\:{xor}\:\left({b}\:{and}\:{c}\right)\right]\:{and}\:\left({not}\:{a}\right) \\ $$$${in}\:{binary}\:{system}: \\ $$$${v}_{\mathrm{0}} =\left({a}×\mathrm{2}^{\mathrm{2}} +{b}×\mathrm{2}^{\mathrm{1}} +{c}×\mathrm{2}^{\mathrm{0}} \:<\:\mathrm{3}\right) \\ $$