Part I $-$Number Conversions$$

Pick the amount from one of the checks in your checkbook.

$1)$ Convert the decimal number into a binary number with three places to the right of the binary point.

$2)$ Convert the binary number into a hexadecimal number.

$3)$ Convert the binary number to a floating$-$point number using the IEEE $-754$ Floating$-$Point Standard

Part II $-$ Adding Binary Numbers$$

Select two decimal numbers between $-60$ and $+60.$ One should be positive and the other should be negative.$$

Convert the numbers into $8-$bit unsigned numbers with negative numbers in the $2\text{'}$s complement form. $($Remember that positive numbers have the leftmost bit $=0$ and negative numbers have the leftmost bit $=1).$

Add the two numbers together to generate an eight$-$bit binary result. Show your work.$$

Part III

If a computer is capable only of manipulating and storing integers, what difficulties present themselves? How are these difficulties overcome.