Using Boolean identities, reduce the given Boolean expression:

$F(A,B,C)=A^{\text{'}}B+B{C}^{\text{'}}+BC+A{B}^{\text{'}}{C}^{\text{'}}$

Reduce the following Boolean expression: $F(P,Q,R)=(P+Q)(P+R)$

What is the equivalent expression for the Boolean expression $x^{\text{'}}{y}^{\text{'}}z+yz+xz?$

Convert the number $1810$ to the binary system.

Convert the number $506210$ to the binary system.

Convert ${159}_{10}$ to the octal number system.

Convert ${380}_{10}$ to the hexadecimal number system.

$($a$)$ Convert the binary number ${11001011}_2$ to the decimal number system.

$($b$)$ Convert the octal number $7_{14}$ to the decimal number.

$($a$)$ Convert ${11101}_2$ to the decimal number system.

$($b$)$ Convert the hexadecimal number $2$C$4$ to the decimal number system.

$10.($a$)$ Convert ${1001}_2$ to octal number system.

$($b$)$ Convert $672,$ to the hexadecimal number system.