achieved using the adder, by negating the appropriate operand.

$=+()$

Assume that all operands are signed integers represented in two$$s complement $8-$bit notation. If the

result of an operation results in greater than $8-$bits, then there is carryout from the adder. Note that

having a carry$-$out from the adder does not imply that an overflow has occurred. The overflow rule

states that $$If two numbers are added, and they are both positive or both negative, then overflow

occurs if and only if the result has the opposite sign.$$

Question $1$:

Perform the flowing operations in binary arithmetic using $8-$bit binary two$$s complement numbers.

Show detailed calculation:

a$.11$ten $5$ten

b$.105$ten $+23$ten

For part a$,$ b$,$

$1.2.3.4.$ Show both operands in two complement representation.

Show the result of the operation.

Indicate whether the there is a carry$-$out from the addition$/$subtraction hardware $($yes$/$no$).$

Indicate whether there is an overflow $($yes