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HALF ADDERHALF ADDER
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
• Decimal number system
• Binary number system
• Octal number system
• Hexadecimal (hex) number system
Decimal Number System
• Decimal number system has only ten (10)
digits from 0 to 9
• The base of decimal number system is 10
• Base 10 number system
• A Binary number system has only two digits
that are 0 and 1
Binary Number System
• The base of binary number system is 2
• Base 2 number system
Octal Number System
 Octal number system has only eight digits
from 0 to 7
 The base of octal number system is 8
 Base 8 number system
Hexadecimal (hex) Number System
 A Hexadecimal number system has sixteen
(16) alphanumeric values from 0 to 9 and A
to F
 The base of hexadecimal number system is 16
 Base 16 number system
LOGIC GATES
A logic gate is an electronic circuit which makes
logic decisions
BASIC LOGIC CIRCUITS : NOT,AND,OR
Gates are blocks of hardware that produce signals of
binary 1 and 0 when logical input requirements are satisfied
NOT GATE
AND GATE
….. AND GATE
……… AND GATE
OR GATE
…………………. OR GATE
EX-OR GATE
Y = A𝑩 + 𝑨 B
NAND
NOR
HALF ADDER
0+0 = 0
0+1 = 1
1+0 = 1
1+1 = 10
Binary addition
Half adder is a arithmetic circuit that adds two numbers and
produces a sum bit (S) and carry bit (C) as the output
A B C S
0 0 0 0
0 1 0 1
1 0 0 1
1 1 1 0
HALF ADDERHALF ADDER
HALF ADDERHALF ADDER
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
George Thomas

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INTRODUCTION TO DIGITAL ELECTRONICS & HALF ADDER (LINK TO VIDEO IN DESCRIPTION)

  • 1. HALF ADDERHALF ADDER 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
  • 2. • Decimal number system • Binary number system • Octal number system • Hexadecimal (hex) number system
  • 3. Decimal Number System • Decimal number system has only ten (10) digits from 0 to 9 • The base of decimal number system is 10 • Base 10 number system
  • 4. • A Binary number system has only two digits that are 0 and 1 Binary Number System • The base of binary number system is 2 • Base 2 number system
  • 5. Octal Number System  Octal number system has only eight digits from 0 to 7  The base of octal number system is 8  Base 8 number system
  • 6. Hexadecimal (hex) Number System  A Hexadecimal number system has sixteen (16) alphanumeric values from 0 to 9 and A to F  The base of hexadecimal number system is 16  Base 16 number system
  • 7.
  • 8. LOGIC GATES A logic gate is an electronic circuit which makes logic decisions BASIC LOGIC CIRCUITS : NOT,AND,OR Gates are blocks of hardware that produce signals of binary 1 and 0 when logical input requirements are satisfied
  • 15. EX-OR GATE Y = A𝑩 + 𝑨 B
  • 16. NAND
  • 17. NOR
  • 18.
  • 19. HALF ADDER 0+0 = 0 0+1 = 1 1+0 = 1 1+1 = 10 Binary addition Half adder is a arithmetic circuit that adds two numbers and produces a sum bit (S) and carry bit (C) as the output A B C S 0 0 0 0 0 1 0 1 1 0 0 1 1 1 1 0
  • 23. 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