Complete the following arithmetic operations assuming numbers are

represented in $2$s complement form $($convert the decimals into the two's complement form and then perform the operation$).$ What is the value of carry flag and overflow flags? $($Assume a six$-$bit system$)$

a$)-7+(-29)$

b$)31+11$

c$)15-19$

d$)-7$x $(-3)$