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Octal to Hexadecimal Converter


Octal to Hex


Octal Numeric System

The octal number system is the base-8 number system, or oct for short, and uses the 0 to 7 digits. Octal numerals can be obtained by grouping consecutive binary numerals into groups of three (from right to left).

An older system of numbers based on a computer is "octal," or base “8.” The octal digits are 0, 1, 2, 3, 4, 5, 6, and 7. The value "eight" is written as "1 eight and 0," or 108.

Technically, there are many different computer-language protocols for octal, but we, in general, just use the simple mathematical system.

Fun Fact: Some New World tribes use basic 8 numeric systems; rather than counting the ten fingers, they count eight spaces between their fingers. The blue natives in the "Avatar" movie used octal because their hands had only four fingers.

Octal to hexadecimal table is given below to understand how octal numbers are represented in hexadecimal numeric system. Octal calculator and octacl converter is used to convert octal number to hex for the quick conversion.

Hexadecimal Numeric System

As mentioned above, there is no single solitary digit in decimal math representing the value of "ten." We generally use two digits instead, a 1 and a 0: "10." But the columns stand for multiples of 16 in hexadecimal math!

We have numbers 0 through 9 in base ten and numbers 0 through 7 in base eight. Similarly, we have numbers 0 through 3 in base 4. As we know, there are digits 0 through one-less-than-base in any base system. That means we need "digits" 0 through 15 in hexadecimal. To do this, we would need single solitary digits representing "ten," "eleven," "twelve," "thirteen," "fourteen," and "fifteen" values. But we don’t use digits for the representation of 10, 11, 12, 13, 14, and 15. So, we use letters instead. That is, the sixteen "numbers," counting in hexadecimal, are:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

Where

10 = A

11 = B

12 = C

13 = D

14 = E

15 = F

In other words, in "regular" numbers, A is "10," B is "11," C is "12," D is "13," E is "14," and F is 15. That’s why hexadecimal numbers look so odd. But in the usual way, the conversions work easily.


Where can we use hexadecimal?

Converting RGB values (for the image in your graphics software) to the hexadecimal (for a matched background color on the web page), hex numeric system can be helpful.

Graphics programs deal with color values for RGB (red-green-blue). Each of these color components has values between 0 and 255 somewhere. These values can be converted between 00 and FF to hexadecimal values. If you list a color's RGB components as a three-number string, you may get, R: 204, G: 51, B: 255, which in HTML coding translates into a light-purple #CC33FF. Note that CC16= 20410, 5110= 3316, and FF16= 25510.

On the other hand, if you have coding for #990033, it would translate in your graphics program into a dark-reddish R: 153, G: 0, B: 51. In other words, to convert between your graphics program and your web-page coding, do not use the hexadecimal number as a six-digit number, but as three-digit numbers, and convert these digit pairs into the corresponding RGB values. Or simply use our hex to RGB converter for the better conversion.

Converting octal to hex is not the easy way. You can use our octal to hex converter for the quick conversion. Our octal converter is a handy tool for students, teachers, and beginners who want to convert number into hex without using a manual formula.

For more conversions between binary, decimal, and hexadecimal numeric sysytem, you can use our free Decimal to Hex, Binary to Hex, Hex to Binary, Hex to Octal converter.

Binary Decimal Hexadecimal
0 0 0
1 1 1
10 2 2
11 3 3
100 4 4
101 5 5
110 6 6
111 7 7
1000 8 8
1001 9 9
1010 10 A
1011 11 B
1100 12 C
1101 13 D
1110 14 E
1111 15 F
10000 16 10
10001 17 11
etc etc etc

 

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