For the number $1\mathrm{.}75$ the sign bit is

and the $8$ bit exponent is

and the first four bits of the mantissa is

$.$ Please use binary representation and so do not include spaces between the $1\text{'}$s and $0\text{'}$s$.$

$($b$)$ Let the $8$ bit exponent be zero for some real number. The zero, in fact, represents a negative number, the power of $2$ which is the negative number

$.$ This is used to represent an extremely small value representing decimal

$.$ Please write decimal numerical numbers instead of words.