a$)(10$ marks$)$ Convert the real number stored in IEEE Single precision format to its base $10$ value.

$11000000110010100000000000000000$b

b$)(10$ marks$)$ The IEEE$-$Double Precision format is similar to the IEEE$-$Single Precision format except that

the biased exponent is $11$ bits instead of $8,$ the bias value is $1023$ instead of $127,$ and the fractional

component is $52$ bits instead of $23.$ Using this information, store the number $422\mathrm{.}32$ into IEEE Double Precision format.