Wolfram Alpha can do many types of calculations, including conversions between numbers in different bases. I’ll demonstrate by showing examples of decimal to binary and binary to decimal conversion.

## Decimal to Binary Conversion

These two expressions are equivalent ways of converting decimal 201 to binary 11001001 (click on the links to do the conversions at Wolfram Alpha):

Wolfram Alpha returns the same result for each — here is an example screenshot:

Besides doing the conversion to binary, it does related conversions to base 4, base 8, and base 16. It also gives computer representations of the number: 16-bit and 32-bit unsigned integer, and double-precision floating-point (all are given in little-endian format).

## Binary to Decimal Conversion

These four expressions are equivalent ways of converting binary 11001001 to decimal 201:

Wolfram Alpha returns the same result for each — here is an example screenshot:

## Converting Fractional Values

Unlike Google Calculator, Wolfram Alpha can convert fractional values, although only from decimal to binary — not the other way around. Here are some examples (screenshots are omitted, and only the main results are shown):

**Convert sum of negative powers of two to binary**- Result: 0.1101
_{2}

- Result: 0.1101
**Convert dyadic fraction to binary**5,404,319,552,844,595/2^53 to binary

- Result: 0.10011001100110011001100110011001100110011001100110011
_{2}(By the way, this is the double-precision floating-point estimate of 0.6.)

- Result: 0.10011001100110011001100110011001100110011001100110011
**Convert a decimal fraction to binary**- Result: 0.00011001100110011
_{2}(The result is actually infinite, but is truncated to 17 bits.)

- Result: 0.00011001100110011

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