Question

The Boolean expression for the shaded regions as shown in the figure is

• A. $(A+B)(\overline{A}+\overline{B})$
• B. $A\overline{B}+\overline{A}B$
• C. $\left(\overline{AB+\overline{A}\overline{B}}\right)$
• D. $(A+\overline{B}).(\overline{A}+B)$

Answer 1

Answer: (A), (B), (C)

$\left(\overline{AB+\overline{A}\overline{B}}\right)$

A but not $B\to A\overline{B}$
B but not $A\to \overline{A}B$

$=A\overline{B}+\overline{A}B$

$=(A+B).(\overline{A}+\overline{B})$

$=\left(\overline{AB+\overline{A}\overline{B}}\right)$