Problem #$1$: Answer the following of number systems.

a$)$ Convert the decimal number $(47{)}_{10}$ to binary number.

b$)$ Convert the binary number $(110011{)}_2$ to decimal number.

c$)$ In hexadecimal, if $1$ is added to $FF,$ the result is$.q,$

d$)$ Convert the specified base $16$ number $(2E3{)}_{16}$ to base $10.$

e$)$ Convert binary $(110010)$ to Gray code.

f$)$ Find the result of $011011011.$

g$)$ Find the result of $10101100.$

h$)$ Convert the BCD code to decimal $(0001010100101001).$

i$)$ Find the $1\text{'}$s complement then the $2\text{'}$s complement of the binary nur $(1100110101001).$