3. For the full-adder of the Figure, determine the outputs for each of the following inputs

(a) A = 0, B = 1, Cin = 0

(b) A = 1, B =

0, Cin = 1

(c) A = 0, B =

Half-adder

B

A

Input

carry, C

J

Co

0, Cin = 0

Half-adder

A

8

Σ

AB

(ABC

D

(a) Arrangement of two half-adders to form a full-adder

Sum

A@BOC

Output carry. Co

AB+(ABC

A

B

C₁₂

Σ

I

Cast

(b) Full-adder logic symbol