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Arithmetic Circuits

Arithmetic operations such as addition, subtraction and complex operations such as multiplication, division etc., are performed by using digital circuits called adders, which again consists of basic logical gates.

Repeated addition gives multiplication.

Repeated subtraction gives division.

Sub Topics
  • Half adder
  • Full adder
  • Elementary ideas about I.C
 

Half adder

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It adds two binary digits at a time.

Truth Table of Half adder

A B SUM CARRY

0 0 0 0

0 1 1 0

1 0 1 0

1 1 0 1

symbol for half adder

circuit diagram of half adder

Full adder

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It adds three binary digits at a time

circuit diagram of full adder

symbol for full adder

Truth table

ABCSumCarry
00000
00110
01010
01101
10010
10101
11001
11111

(c)

Elementary ideas about I.C

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integrated circuit

If the electronic compounds like resistors, capacitors, diodes and transistors are compactly put in a small piece of material, it is called as integrated circuit. This single small package performs a complete electronic function. Thin slice of crystal of silicon of the order of 0.5 cm, are called as 'wafers'. These wafers are used to make integrated circuits, in short, IC.

Not only resistors capacitors, logic gates can also be grown in integrated chips. The different components are connected internally to produce desired circuits. Depending on the number of components fabricated on a chip, IC's are classified as MSI (medium scale integrated circuits), LSI (large scale integrated circuits).

What are the advantages of making these integrated circuits? They are compact, highly reliable, lesser weight, low cost, heat proof and require low power to operate.

These IC's are used in television, radio circuits and in computers.


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