Wednesday, 13 February 2019

ADDER

1) Half Adder:

  • adds two single bit binary numbers.

Truth Table:


A
B
S
Cout
0
0
0
0
0
1
1
0
1
0
1
0
1
1
0
1








  • Equation of Sum: S =  A'B + AB' 
  • Equation of Carry: Cout = A.B



2) Full Adder:

Truth Table:


A
B
C
S
Cout
0
0
0
0
0
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




Equation of Sum:
 S = A'B'C + A'BC' + AB'C' + ABC


















Equation of Carry:
 Cout = A'BC + AB'C + ABC' + ABC










Logic Diagram


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