A hypothetical $8-$bit unbiased system stores bits in the following base$-2$

representation:

$-$ Bit $1$: Sign of the mantissa

$-$ Bit $2$: Sign of the exponent

$-$ Bits $3-5$: Mantissa

$-$ Bits $6-8$: Unbiased exponent magnitude

a$)$ Represent $(-0\mathrm{.}135)10$ in this unbiased system.

a$.$ Continue until you have two bits that are equal to $1.$

b$)$ What is the true error between the transmitted number and the true value