QUESTION $3$

a$)$ Convert the following numbers:

i$){634}_8$ to binary number.

Perform the working method for the following operations.

ii$),B{D}_{16}+4A_{16}$

iii$),{01110111}_2+{01010111}_2$

b$)$ i$)$ Simplify the following expressions using Boolean algebra:

$\frac{?}{\text{b}\text{a}\text{r}}(BC)D+(\frac{?}{\text{b}\text{a}\text{r}}(B+C+D))\frac{+}{b}ar\frac{B}{b}ar\frac{C}{b}ar(D)E$

ii$)$ Minimize the expression below with Karnaugh map.

$\frac{A}{b}ar\frac{B}{b}ar(C)D+A\frac{C}{b}ar(D)+\frac{B}{b}ar(C)D\frac{+}{b}ar(A)B\frac{C}{b}ar(D)$