$($

$1$

$5$

$$pts

$)$

$$Floating point calculation:

a

$.$

$$Show the IEEE

$7$

$5$

$4$

$$representation for the decimal value

$-$

$2$

$.$

$2$

$5$

$$in single precision.

b

$.$

$$Find the decimal representation for the following single precision floating point number:

$1$

$1$

$0$

$0$

$,$

$0$

$0$

$0$

$0$

$,$

$1$

$1$

$0$

$1$

$,$

$1$

$0$

$0$

$0$

$,$

$0$

$0$

$0$

$0$

$,$

$0$

$0$

$0$

$0$

$,$

$0$

$0$

$0$

$0$

$,$

$0$

$0$

$0$

$0$

c

$.$

$$Perform the addition and multiplication of the two floating point numbers in

$($

a

$)$

$$and

$($

b

$)$

$$in binary scientific notation, and represent the sum and product in single precision.