Question $3(20$ Points$)$ Given the following IEEE floating point numbers, answer the following

questions:

$754$ floating point numbers:

$a=01100000110110000000000000000000$

$b=10111100111000000000000000000000$

Perform the following arithmetic and show the final addition and multiplication results in IEEE

$754$ single$-$precision format. Show your steps $($Do not convert a and $b$ to decimal base, compute

the addition and multiplication, then convert the results back to normalized binary and single

precision$).$

a$)a+b$

b$)$ a $$ b