PROBLEM $1(12$ PTS$)$

Complete the timing diagram $($signals DO and DATA$)$ of the following circuit. The circuit in the blue box computes the signed operation $T-6,$ with the result having $5$ bits. $T$ is a $4-$bit signed $(2C)$ number.

For example: if $T=1010DO=1010-0110=11010+11010=10100.$