Catholicate College Pathanamthitta has been re-accredited by NAAC with an A+ grade and a CGPA of 3.60. The document covers various number systems including decimal, binary, octal, and hexadecimal, as well as basic logic gates and the function of a half adder in binary addition. The half adder is described as an arithmetic circuit that adds two bits and produces a sum bit and a carry bit, while noting its limitation in handling carry input.

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

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

9. NOT GATE

10. AND GATE

11. ….. AND GATE

12. ……… AND GATE

13. OR GATE

14. …………………. OR GATE

15. EX-OR GATE
Y = A𝑩 + 𝑨 B

16. NAND

17. NOR

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

20. HALF ADDERHALF ADDER

21. HALF ADDERHALF ADDER

22. HALF ADDERHALF ADDER

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

24. George Thomas