$1-$Briefly describe overflow. When does it occur?

$2-$ Briefly describe underflow. When does it occur?

$3-$ What decimal number does the bit pattern $10010101$ represent if it is a:

$$ unsigned integer?

$$ sign$-$magnitude integer?

$$ wo's complement integer?

$4-$ What decimal number does the bit pattern $01011001$ represent if it is a:

$[$unsigned integer?

$$ sign$-$magnitude integer?

$$ two's complement integer?

$5-$What is the binary representation of the decimal number $5\mathrm{.}5$ assuming the IEE $754$ single

precision format?

$6-$ What decimal number does the bit pattern $0$xC$0$B$00000$ represent if it is:

$$ A two's complement integer?

$$ An unsigned integer?

$$ A floating point number assuming the IEE $754$ single precision format

$7-$ Perform the following calculations assuming that the values are $4-$bit decimal integers stored in

two's complement format. Be sure to consider the possibility of overflow.

$0101+1001$

$01011001$

$8$ For the following operations: write the operands as $2\text{'}$s complement binary numbers then perform

the addition or subtraction operation shown. Show all work in binary operating on $4-$bit numbers.

$4+1$

$4-1$

$1-4$