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Binary to Hexadecimal Converter

Convert binary numbers to hexadecimal, including fractions and negative numbers, with the working shown.

Change the values and press Calculate to work out your own figures.

Enter a binary number to write it in hexadecimal.

About binary number0s and 1s, for example 10101010 or 110.101.
Result
In hexadecimal
AA
In octal
252
In decimal
170

10101010 in binary is AA in hexadecimal.

Show the working
  1. Group the bits in 4s from the right: 1010 1010
  2. Replace each group with its hexadecimal digit: A A

How to use it

Enter a binary number to write it in hexadecimal.

Letters stand for digits above 9 (A = 10 … Z = 35) and can be typed in either case; prefixes such as 0b and 0x, spaces and underscores are ignored. Show the working gives each step.

Key facts

binary → hexadecimal: regroup the bits (3 per octal digit, 4 per hex digit)

How the conversion works

Because 8 = 2³ and 16 = 2⁴, each octal digit is exactly 3 bits and each hex digit exactly 4, so the conversion is done by grouping bits.

Questions

What is 10101010 in hexadecimal?

AA.

Can I convert fractions?

Yes. Digits after the point are converted exactly; if they repeat forever in the new base, the repeating block is shown in parentheses.

Formulas

binary → hexadecimal: regroup the bits (3 per octal digit, 4 per hex digit)

Sources

Limitations

  • Numbers have at most 1,000 characters; Roman numerals cover whole numbers from 1 to 3,999,999.

Formula version 0.1.0Reviewed