General Method for Transforming Numbers - Number we want to transform uses base X: we would like to transform this number into new one, that uses Y base. In this case we will use method of continuous dividing and multiplying (dividing numbers left of comma (,) with Y and multiplying numbers on the right side of comma, by Y - rational numbers). This method is best understood looking at these examples:
Octal System:
Base: 8
Digits: 0, 1, 2, 3, 4, 5, 6, 7
Example: 27 (decimal) = 33 8 (octal)
Hexadecimal (hex) System:
Base: 16
Digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
Example: 27 (decimal) = 1B 16 (hex)
Binary System:
Base: 2
Digits: 0, 1
Example: 27 (decimal) = 11011 2 (binary)
Transforming Binary, Hex and Octal - Quickly
Example
Transform -6F,A 16 into binary number
Example
Transform 11,000011001 2 into hex number
Example
Transform 37,24 8 into binary number
Example
Transform 1111011,10011101 2 into octal number
Technorati Tags: Numeric, Numerical, Transform, Transformation, Binary, Decimal, Octal, Hexadecimal, Hex, Base, Complement, Method
Octal System:
Base: 8
Digits: 0, 1, 2, 3, 4, 5, 6, 7
Example: 27 (decimal) = 33 8 (octal)
Hexadecimal (hex) System:
Base: 16
Digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
Example: 27 (decimal) = 1B 16 (hex)
Binary System:
Base: 2
Digits: 0, 1
Example: 27 (decimal) = 11011 2 (binary)
Transforming Binary, Hex and Octal - Quickly
Binary Hex Binary Octal
0000 0 000 0
0001 1 001 1
0010 2 010 2
0011 3 011 3
0100 4 100 4
0101 5 101 5
0110 6 110 6
0111 7 111 7
1000 8
1001 9
1010 A
1011 B
1100 C
1101 D
1110 E
1111 F
Example
Transform -6F,A 16 into binary number
-6F,A 16 = - 0110 1111 , 1010 2 = - 1101111 , 101 2
Example
Transform 11,000011001 2 into hex number
11,000011001 2 = 11 , 0000 1100 1 2
= 0011 , 0000 1100 1000 2
= 3 , 0 C 8 16
= 3 , 0C8 16
Example
Transform 37,24 8 into binary number
37,24 8 = 011 111 , 010 100 2 = 11111 , 0101 2
Example
Transform 1111011,10011101 2 into octal number
1111011,10011101 2 = 1 111 011 , 100 111 01 2
= 001 111 011 , 100 111 010 2
= 1 7 3 , 4 7 2 16
= 173 , 472 16
Technorati Tags: Numeric, Numerical, Transform, Transformation, Binary, Decimal, Octal, Hexadecimal, Hex, Base, Complement, Method
6 Responses to “Hex 2 Binary 2 Octal”
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Can you give me the exact conversion of binary to decimal, binary to octal, binary to hexadecimal in C Programming.
Thanx.
Hope to have it tomorrow.
You can find them in my sidebar (under "Learn Converting") If you use Internet Explorer, the sidebar could have escaped below this comment box ;(
Dear Sir,
I need subroutine module for Hex to decimal conversion for 8bit data, i need not to display the data i want to access the data. The input i will give from 8 bit reg and the converted data should be
input will be stored in 8bit reg ------ 0 to FF
converted data stored in 2, 8bit reg - 0 to 255 hex
final should be in another 2 8bit reg 0 to 100 decimal
pls waiting for u r replay
Require some optimised
'Hexadecimal to binary' conversion C & C++ programs.
Thx in advans,
karthik balaguru
ei, i cant get what ur teaching is! please be more specific
Can U give me a code for
1.Decimal to Binary, Hexa and Octal.
2.Binary to Hexa, Decimal and Octal
3.Octal to Bimary, Hexa and Binary
4.Hexa to Decimal, Octal and Binary