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In digital electronics the number conversion is more essential to designing a circuit. In mathematics and computer science, Hex also called as base 16 or hex is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols from 0 to 9 to represent values zero to nine, and A, B, C, D, E, F or alternatively from alphabet A to F to represent values ten to fifteen. More common the Hex values are used to represent computer memory size
This below example is the basic principle used in this Hexadecimal to Decimal conversion. Convert the Hex number 2AF3 into its equivalent Decimal Number. The Hex number 2AF3 can be written as in the below form. The sum of all the units yield the equivalent decimal value
(2 x 16^{3}) + (10 x 16^{2}) + (15 x 16^{1}) + (3 x 16^{0}) = 10995
This below example is the basic principle used in this Hexadecimal to Binary conversion. To calculate the equivalent binary number for a given Hex number, each digit of a hex number is individually converted to its binary equivalent. For example the equivalent binary number for 3FD_{H} can be written as
3 = 0011; F = 1111; D = 1101
The Binary Number = 0011 1111 1101
This below example is the basic principle used in this Hexadecimal to Octal conversion. The easiest way to convert Hex number to octal number is converting hex number to its equivalent binary number and convert it to its equivalent octal number
For example the equivalent Octal number for 25B_{H} can be derived as
Hex to Binary Conversion
2 = 0010; 5 = 0101; B = 1011
The Binary Number = 0010 0101 1011
Now the hexa decimal equivalent Binary numbers can be converted into equivalent octal numbers. To do so, split the binary number into segments having 3 bits each to find out the equivalent octal for the binary number
001 = 1; 001 = 1; 011 = 3; 011 = 3
The Octal Number = 1133_{8}
When it comes to online calculation, this Hex Calculator can assist you to calculate the equivalent Decimal, Binary and Octal values for the given hexa value. These number conversions are heavily employed in Electronics Circuit Design, Data Structure, Programming, Digital Transmission, Satellite Communication, Encoding and Decoding Techniques, etc.