b$)$ An integer unit uses a $6-$bit two's complement representation for its operands.

i$.$ What is the range of valid integers for such representation?

$(3$ marks$)$

ii$.$ Give the $6-$bit two's complement representation of the following decimal

numbers: $-17,23$ and $-2.$

$(2,2,2$ marks$)$

iii. Describe pbriefly, using a logic circuit diagram, how the integer unit can detect

overflow after an addition of two operands.

$(6$ marks$)$