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CATHOLICATE COLLEGE
PATHANAMTHITTA
Re- accredited by NAAC in A+ grade with CGPA 3.60
CATHOLICATE COLLEGE
PATHANAMTHITTA
Re- accredited by NAAC in A+ grade with CGPA 3.60
HALF ADDERHALF ADDER
Half adder is a arithmetic circuit that adds two numbers and
produces a sum bit (S) and carry bit (C) as the output
 The half adder can add only two input bits (A and B) and
has nothing to do with the carry if there is any in the
input
 That means the binary addition process is not complete and
that’s why it is called a half adder
HALF ADDERHALF ADDER
FULL ADDER
• Full adder is a combinational
circuit that performs the
addition of three bits
• It consists of three inputs and
two outputs Carry 1 1 Decimal
1 1 1 7
1 0 1 5
1 1 0 0 12
INPUTS OUTPUTS
C B A CARRY SUM
0 0 0 0 0
0 0 1 0 1
0 1 0 0 1
0 1 1 1 0
1 0 0 0 1
1 0 1 1 0
1 1 0 1 0
1 1 1 1 1
FULL ADDER
2N
N=3
23
CARRY 1 1 1
FIRST NUMBER (13) 1 1 0 1
SECOND NUMBER (11) 1 0 1 1
SUM (24) 1 1 0 0 0
FIRST
NUMBER
A3 A2 A1 A0
1 1 0 1
SECOND
NUMBER
B3 B2 B1 B0
1 0 1 1
4 BIT ADDER
10111 0 1 1
0001
111
1
FIRST
NUMBER
A3 A2 A1 A0
1 1 0 1
SECOND
NUMBER
B3 B2 B1 B0
1 0 1 1
George Thomas

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FULL ADDER (VIDEO LINK IN DESCRIPTION)

  • 1. CATHOLICATE COLLEGE PATHANAMTHITTA Re- accredited by NAAC in A+ grade with CGPA 3.60 CATHOLICATE COLLEGE PATHANAMTHITTA Re- accredited by NAAC in A+ grade with CGPA 3.60
  • 3. Half adder is a arithmetic circuit that adds two numbers and produces a sum bit (S) and carry bit (C) as the output  The half adder can add only two input bits (A and B) and has nothing to do with the carry if there is any in the input  That means the binary addition process is not complete and that’s why it is called a half adder HALF ADDERHALF ADDER
  • 4.
  • 5. FULL ADDER • Full adder is a combinational circuit that performs the addition of three bits • It consists of three inputs and two outputs Carry 1 1 Decimal 1 1 1 7 1 0 1 5 1 1 0 0 12
  • 6. INPUTS OUTPUTS C B A CARRY SUM 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 FULL ADDER 2N N=3 23
  • 7.
  • 8.
  • 9. CARRY 1 1 1 FIRST NUMBER (13) 1 1 0 1 SECOND NUMBER (11) 1 0 1 1 SUM (24) 1 1 0 0 0 FIRST NUMBER A3 A2 A1 A0 1 1 0 1 SECOND NUMBER B3 B2 B1 B0 1 0 1 1
  • 10. 4 BIT ADDER 10111 0 1 1 0001 111 1 FIRST NUMBER A3 A2 A1 A0 1 1 0 1 SECOND NUMBER B3 B2 B1 B0 1 0 1 1