Binary Number System – Definition, Conversion,
Examples
Number System||Numeral System
The number system or the numeral system
is the system of naming or representing numbers in various formats. We
know that a number is a numerical value that helps to count or measure objects
and it helps in performing various mathematical calculations. There are
different types of number systems in Maths but we categories number system in
four major category- decimal number system, binary number system, octal number
system, and hexadecimal number system.
Binary Number System||Bit System
A binary number system with
base-2 is one of the four types of number systems. Binary number system played historical
role in development of computer history.
0 and 1 are
two digits represents a binary system . In the word “binary”, “bi” means “two”. The base-2 numeral system is used to represent
binary numbers. For example, (1010)2 is a binary number where 2 is the radix. Each digit in the binary
number system is called to be a “bit”.
Role of binary system in Computer development
This number system is widely used in computers. Binary
number are used in digital electronic circuitry using logic gates. Since
computer only understand binary information (0’s and 1’s). Any inputs given to a computer are decoded by it
into a series of 0’s or 1’s before being processed . It is simple to convert a
decimal number into a binary number and vice-versa. The notations for decimal
numbers and binary numbers are different. For example, a decimal is represented
as (15)10 where
10 is the base of the decimal number, and the corresponding binary number is
represented as (1111)2 where
2 is the base of a binary number
All the
coding and languages(C, C++, Java , any other languages or any other coding platform
) in computers use binary digits 0 and 1 to write a program
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Reminder which represent binary number from bottom
to top |
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2 |
8 |
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2 |
4 |
0 |
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2 |
2 |
0 |
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2 |
1 |
0 |
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0 |
1 |
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Binary conversion
method |
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Decimal Number |
Binary Number |
Decimal Number |
Binary Number |
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1 |
001 |
11 |
1011 |
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2 |
010 |
12 |
1100 |
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3 |
011 |
13 |
1101 |
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4 |
100 |
14 |
1110 |
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5 |
101 |
15 |
1111 |
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6 |
110 |
16 |
10000 |
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7 |
111 |
17 |
10001 |
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8 |
1000 |
18 |
10010 |
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9 |
1001 |
19 |
10011 |
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10 |
1010 |
20 |
10100 |
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Binary decimal
number table |
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