$1\mathrm{.}1.$ Represent the following numbers as directed:

a$.12$ as a $4-$bit unsigned number

b$.12$ as a $5-$bit unsigned number

c$.+1$ as a $4-$bit $2\text{'}$s complement number

d$.-1$ as a $4-$bit $2\text{'}$s complement number

e$.-1$ as a $5-$bit $2\text{'}$s complement number

f$.+1$ as a $4-$bit signed$-$magnitude number

g$.-1$ as a $4-$bit signed$-$magnitude number