a)Construct the following digital circuit with Logisim. The circuit has two outputs S and T and three inputs A, B and C.

S = A/BC + /ABC + AB/C + /A/B/C

T = /A/BC + A/BC + /AB/C + ABC

B)Generate the truth table using Logisim for inputs A, B and C and for outputs S and T.

c)Verify that the circuit you developed can be used as a 3-bit adder (Full adder) i.e., A and B are the two bits to be added and C is the Carry-in bit. S is the sum of A and B and T is the carry-out bit.