Binary number system:
Computers are the electronic machines which operate using
Binary language. Binary system has only two digits to represent or construct
entire number system. These digits are 0 and 1 are also called as ON and OFF or
TRUE or FALSE. The base of binary number system is 2.
Decimal to Binary:
To convert Decimal number to Binary simply we divide the
Decimal number by 2 and extract the reminder, and co efficient again divided by
2 and extract reminder, repeat this process until the coefficient not able to
divide with 2 (That means less than 2 (0 or 1)).
Example:
(225)10 =
(11100001)2
Binary to Decimal:
To convert Binary to Decimal number, first we write the
binary number and list the powers of 2 from right to left, multiply with position
bit and finally add, we get Decimal number.
Example:
1 1 1 0 0
0 0 1
27 26 25 24 23 22 21 20
128 + 64 + 32 + 0 +
0 + 0
+ 0 + 1 =
225
Octal number system:
Octal number system has only eight digits to represent or
construct entire number system. These digits are 0, 1, 2, 3, 4, 5, 6 and 7. The
Octal number system used in early main frame computers. The base of Octal
number system is 8.
Decimal to Octal:
To convert Decimal number to Octal simply we divide the
Decimal number by 8 and extract the reminder, and co efficient again divided by
8 and extract reminder, repeat this process until the coefficient not able to
divide with 8 (That means less than 8).
Example:
(225)10 = (341)8
Octal to Decimal:
To convert octal to Decimal number, first we write the Octal
number and list the powers of 8 from right to left, multiply with position bit
and finally add, we get Decimal number.
Example:
3
4 1
82 81 80
192 + 32 + 1 = 225
Hexa Decimal number
system:
Hexa Decimal number system has 16 Symbols to represent or
construct entire number system. These symbols are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
A, B, C, D, E and F. The Hexa Decimal number system is 16.
Decimal to Hexa Decimal:
To convert Decimal number to Hexa Decimal simply we divide
the Decimal number by 16 and extract the reminder, and coefficient again
divided by 16 and extract reminder, repeat this process until the coefficient
not able to divide with 16 (That means less than 16).
Example:
(225)10 = (E 1)16
Hexa Decimal to Decimal:
To convert Hexa Decimal to Decimal number, first we write
the Hexa Decimal number and list the powers of 16 from right to left, multiply
with position bit and finally add, we get Decimal number.
Example:
E (14) 1
161 160
224 + 1 =
225
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