Question

Решить таблицу истинности

Answer 1

1)
$\left[\begin{array}{ccc}a\\0\\0\\0\\0\\1\\1\\1\\1\end{array}\right] \left[\begin{array}{ccc}b\\0\\0\\1\\1\\0\\0\\1\\1\end{array}\right] \left[\begin{array}{ccc}c\\0\\1\\0\\1\\0\\1\\0\\1\end{array}\right] \left[\begin{array}{ccc}!c\\1\\0\\1\\0\\1\\0\\1\\0\end{array}\right] \left[\begin{array}{ccc}!a\\1\\1\\1\\1\\0\\0\\0\\0\end{array}\right] \left[\begin{array}{ccc}!a+b\\1\\1\\1\\1\\0\\0\\1\\1\end{array}\right] \left[\begin{array}{ccc}!c+(!a+b)\\1\\1\\1\\1\\1\\0\\1\\1\end{array}\right]$
2)
$\left[\begin{array}{ccc}a\\0\\0\\1\\1\end{array}\right] \left[\begin{array}{ccc}b\\0\\1\\0\\1\end{array}\right] \left[\begin{array}{ccc}!b\\1\\0\\1\\0\end{array}\right] \left[\begin{array}{ccc}a+!b\\1\\0\\1\\1\end{array}\right] \left[\begin{array}{ccc}!(a+!b)\\0\\1\\0\\0\end{array}\right]$
3)
$\left[\begin{array}{ccc}a\\0\\0\\0\\0\\1\\1\\1\\1\end{array}\right] \left[\begin{array}{ccc}b\\0\\0\\1\\1\\0\\0\\1\\1\end{array}\right] \left[\begin{array}{ccc}c\\0\\1\\0\\1\\0\\1\\0\\1\end{array}\right] \left[\begin{array}{ccc}!b\\1\\1\\0\\0\\1\\1\\0\\0\end{array}\right] \left[\begin{array}{ccc}!c\\1\\0\\1\\0\\1\\0\\1\\0\end{array}\right] \left[\begin{array}{ccc}a+!c\\1\\0\\1\\0\\1\\1\\1\\1\end{array}\right] \left[\begin{array}{ccc}(a+!c)*!b\\1\\0\\0\\0\\1\\1\\0\\0\end{array}\right]$