Sum of the two binary numbers ${\left(100010\right)}_2$ and ${\left(11011\right)}_2$ is

According to the laws of Boolean algebra, the expression $\left(\mathrm{A}+\mathrm{AB}\right)$ is equal to:

Each of the two inputs $A$ and $B$ can assume values either $0$ or $1.$ Then which of the following will be equal to $\overline{A}·\overline{B}?$

Which logic gate is represented by the following combination of logic gates?

State De-Morgan's theorems.

The logic circuit shown above is equivalent to :

Prove the Boolean identity: $\left(\mathrm{A}+\mathrm{B}\right)\left(\mathrm{A}+\mathrm{C}\right)=\mathrm{A}+\mathrm{BC}$

State De-Morgan's theorems.

Write the truth table for the given circuit:

The input values $\mathrm{A}$ and $\mathrm{B}$ of the Boolean expression $\left(\overline{\mathrm{A}+\mathrm{B}}\right)\left(\overline{\mathrm{A}·\mathrm{B}}\right)=1$ are respectively: