Wednesday, 28 November 2012

Full Adder Conbinational Circuit


By on 04:23

Full Adder is a Combinational Circuit that perform Arithmetic Operation of 3 bits.In simple words it take three-three binary inputs and outputs and produce sum and carryout.Full adder divided into two types namely Serial Adder and Parallel Adder.

Truth Table of Full Adder:-



A BCSum Cout
o 0 0  0  0
0 0 1  1  0
0 1 0  1  0
0 1 1  0  1
1 00  1  0
1 0 1  0  1
1 1 0  0  1
1 1 1  1  1


Block Diagram of Full Adder:-


                               Sum=A'B'C+A'BC'+AB'C'+ABC
                               Cout=A'BC+AB'C+ABC'+ABC


Full Adder Circuit Diagram:-




Simplification of full adder:-

=A'(B'C+BC')+A(B'C'+BC)
=A'(B⊕C)+A(B⊕C)'

Let x=B⊕C
=A'x+Ax'
=A⊕x
=A⊕B⊕C

Simplification of full adder Using K-Map:-



                                        Cout:-AB+BC+AC

Implementation of Full Adder using NAND gate:-





 Implementation of Full Adder using NOR gate:-





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