Perform the following binary calculations. Each number is an $8-$

bit signed integer with $2$s complement representation. Give your answer in $8-$bit $2$s

complement format and clearly state whether an overflow happens or not.

a$.11000111+01001011$

b$.11000111+10011001$

c$.0011011-11000011$

d$.10001000-10000000$

Q$2$: Draw the block symbol of a $2$:$4$ decoder. Write the truth table for it$,$ and draw the gate

level circuit.