This question relates to Computer Architecture. There are four parts to this question.

a$.)$ Represent $12\mathrm{.}12510$ with single precision IEEE $754$ standard

b$.)$ Represent $13\mathrm{.}187510$ with single precision IEEE $754$ standard

c$.)$ What is the smallest positive number single precision IEEE $754$ standard can

represent?

d$.)$ Assuming single precision IEEE $754$ format, what decimal number is representing by this word:

$00111110100100000000000000000000$

$($Hint: remember to use the biased form of the exponent.$)$