Answer to Question #259801 in Discrete Mathematics for rtf

Question

Complete the truth tables for these two Boolean expressions: (a) Output = A + B (b) Output = A + AB

Answer 1

Let us complete the truth tables for these two Boolean expressions:

(a) Output = A + B

$\begin{array}{||c|c||c||} \hline\hline A & B & A+B\\ \hline\hline 0 & 0 & 0\\ \hline 0 & 1 & 1 \\ \hline 1 & 0 & 1\\ \hline 1 & 1 & 1\\ \hline\hline \end{array}$

(b) Output = A + AB

$\begin{array}{||c|c||c|c||} \hline\hline A & B & AB& A+AB\\ \hline\hline 0 & 0 & 0 & 0\\ \hline 0 & 1 & 0 & 0\\ \hline 1 & 0 & 0 & 1\\ \hline 1 & 1 & 1 & 1\\ \hline\hline \end{array}$