SHOW ALL YOUR WORK $($either in the same document or as a separate PDF scan$).$ If NO SUPPORTING WORK attached, the assignment will be considered incomplete and marked zero. All your calculation work must be provided with the assignment.

$1.[10]$ Each of the numbers below represent a real number stored in IEEE Single precision format.

Convert each to their base $10$ value.

$110000001100101000000000000000000$b

$001111100111100000000000000000000$b

$2.[10]$ 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.