Problem $1$: $($Points $10)$

Using two's complement, convert the following denary numbers into fixed point binary to be stored in a $12$ bit register with $4$ bits after the binary point.

a$)27\mathrm{.}5$

b$)-55\mathrm{.}75$

c$)-1\mathrm{.}99$

d$)1\mathrm{.}75$