Closed Books, closed notes; formula sheet provided; calculators allowed; no other materialShow all work for complete credit. Make appropriate assumptions.Problem $1$: $($a$)$ Given a binary number $1101010,$ convert it to$($i$)$ Hex $($ii$)$ BCD $($iii$)$ Base $20($b$)$ Given a number in it's two's complement as $101110,$ convert it into$($i$)$ decimal number $($with sign$)($ii$)$ binary number $($with sign$)($c$)$ Indicate the ASCII representation for the string $2$Hf with even parity $)$d$)$ Convert the number $-28$ into its $2\text{'}$s complement representation of size $8$ bits