$(6$ pts$)$ In both binary and decimal representation, specify the range of $8-$bit binary

numbers represented by

a$.$ unsigned b$.$ signed$-$magnitude c$.$ two$$s complement

$2.(3$ pts$)$ Show the binary format of decimal number $5510$ represented by:

a$.$ sign$-$magnitude b$.$ two$$s complement

$3.(3$ pts$)$ Show the decimal number of binary $101011012$ represented by:

a$.$ sign$-$magnitude b$.$ two$$s complement

$4.(16$ pts$)$ Perform the following calculations on $8-$bit two$$s complement numbers

$($numbers are already in $2$s complement representation$).$ Give your answer in both

binary $($two$$s complement$)$ and decimal and indicate if an overflow$/$underflow occurs.

Show ALL your work to receive credits.

a$.00101101+01101111=$

b$.11111111+11111111=$

c$.0000000011111111=$

d$.1111011101110111=$

$5.(12$ pts$)$ Using $6$ bits, perform each of the following arithmetic operations in $2$s

complement. You need to first convert the values into two$$s complement before

performing the operations in $2$s complement. Show your answer in both two$$s

complement notation and the equivalent decimal notation. Identify each case in which

the answer is incorrect because of overflow. Show ALL your work to receive credits.

a$.2614$ b$.16+18$ c$.2111$