Number Conversions:

a$.$ Convert $-{163}_{10}$ to binary using sign and magnitude notation

b$.$ Convert the following $32-$bit float number $($in IEEE $754$ format$)$ to

decimal: $11000001100010000000000000000000$

c$.$ Write down the $32-$bit floating point representation $($in IEEE $754$

format$)$ for ${15\mathrm{.}0}_{10}$

d$.$ Convert $-{53}_{10}$ to and $8-$bit binary number in $2\text{'}$s complement

representation

e$.$ Convert $-4210$ to and $8-$bit binary number in $1\text{'}$s complement

representation