Sneha.  A combinational circuit that performs the addition of two bits is called a half adder.  It has two inputs.  It has two outputs.

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Presentation transcript:

sneha

 A combinational circuit that performs the addition of two bits is called a half adder.  It has two inputs.  It has two outputs.

 Truth table:  X Y | C S   0 0 | 0 0  0 1 | 0 1  1 0 | 0 1  1 1 | 1 0 Half adder X Y C S

 A full adder is a combinational circuit that performs the sum of three bits(two significant bits and a previous carry).

Truth table: X Y Cin | C S | | | | | | | | 1 1 Full adder Cin X Y S C

 Truth table:  Using K-map, simplified SOP form is: C = XY + XZ + YZ S = X'Y'Z + X'YZ'+XY'Z'+XYZ YZ X YZ X SumCarry S =  m(1,2,4,7) C =  m(3,5,6,7) Z

 Using K-map, simplified SOP form is: C = XY + XZ + YZ S = X'Y'Z + X'YZ'+XY'Z'+XYZ

 Circuit for above formulae: C = XY + (X  Y)Z S = X  Y  Z XYXY S C Z (XY) (X  Y). Circuit Diagram

10 Half Adder Cin Cin + xy