CSA:

$($a$)6\%$ Assume five numbers to be added using CSAs and a two$-1$nput adder with this example: $0101,0110,1011,0011,1001.$ Draw the circuit diagram and show the interim numbers between the CSAs.

$($b$)6\%$ We want to design a multiple$-$input adder that can add $11$ numbers using carry$-$save adders and a carry$-$propagate adder. How many CSAs do we need if we want to reduce the cost as much as possible? Draw your circuit diagram.