C

D

B

Table Q$6$: state table for a synchronous sequential system

$7.$ An adder in a signal processing system is required to find the sum of seven twelve$-$bit numbers. Draw dot$-$notation diagram for a Dadda tree to calculate the sum. You should make reference to table Q$7$ to construct the Dadda tree.

$15$

$\backslash$table$[[,,,$n$($h$)],[$h$,$n$($h$),$h$,28],[0,2,7,42],[1,3,8,63],[2,4,9,94],[3,6,10,141],[4,9,11,211],[5,13,12,316],[6,19,13,]]$

Table Q$7$: Dadda tree heights and operand numbers