Question #205185

. Determine the sum (c) and the output carry (Cout) of a half-adder when the input bits are 1 and 1. b. A full-adder has Cin = 1. What are the sum (c) and the output carry (Cout) when A = 1 and B = 1? c. With the aid of diagram, what are the sum outputs when 111 and 101 are added by the 3-bit parallel adder?

Expert's answer

1) Half adder

"A=B=1" A B Sum Carry

Sum= 0 0 0 0 0

carry=1 0 1 1 0

1 0 1 0

1 1 0 1

2)Full adder

"A=B=C_{in}=1" A B C Sum Carry

sum=1 0 0 0 0 0

carry=1 0 0 1 1 0

0 1 0 1 0

0 1 1 0 1

1 0 0 1 0

1 0 1 0 1

1 1 0 0 1

1 1 1 1 1

3) Given circuit is parallel adder

Results for FA1

"A=1, B=1, C_{in}=0"

"\\sum_1=0"

"C_{out}=1"

Results for FA2

"A=0,B=1,C_{in2}=1"

"\\sum_2=0"

"C_{out2}=1"

Results for FA3

"A=1,B=0,C_{in3}=1"

"\\sum_3=0"

"C_{out3}=\\sum_n=1"

4) Comparator

"A_3,A_2,A_1,A_0" "B_3,B_2,B_1,B_0"

"0, \\space 1,1,0" "0,1,1,1"

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