Note that the number found in Step 2 will be the value written in the place value for the power of 16 that was found.Multiply the number found in Step 2 by the power of 16 and subtract this value from X.Determine how many times the power of 16 found in Step 1 goes into X, and take note of that number.Find the largest power of 16 that is less than or equal to the number to be converted, which will be referred to as X.It is important to work through the example provided in conjunction with the listed steps in order to understand the process: Knowing this information, it is then possible to convert from hex to decimal, as shown below: EX:ĢAA = (2 × 16 2) + (A × 16 1) + (A × 16 0)Ĭonverting from decimal to hex is slightly more involved, but uses the same concepts. Remember that 'A' in hex is equivalent to 10 in decimal. The second 'A' from the right represents 16 1, and the 2 represents 16 2. Starting from the right, the first 'A' represents the 'ones' place, or 16 0. This means that for the value 2AA, each place value represents a power of 16. As previously mentioned, hex functions using the base of 16.

The ability to perform the conversion of either should make the other relatively simple. Note that converting between decimal and hex is quite similar to converting between decimal and binary. A more in-depth discussion is available on the binary calculator page.

This helps computers to compress large binary values in a manner that can be easily converted between the two systems.īelow are some typical conversions between hex, binary, and decimal values:Ĭonverting between decimal and hex involves understanding the place values of the different number systems. For example, the binary value of 1010101010 can be represented as 2AA in hex. Every hex digit represents 4 binary digits, called nibbles, which makes representing large binary numbers simpler. Hex uses 16 digits including 0-9, just as the decimal system does, but also uses the letters A, B, C, D, E, and F (equivalent to a, b, c, d, e, f) to represent the numbers 10-15. Instead of using a base of 10 or 2 respectively, it uses a base of 16. The hexadecimal number system (hex) functions virtually identically to the decimal and binary systems. Related Binary Calculator | IP Subnet Calculator

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