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Converting Between Binary and Decimal

Problem

You would like to display the binary representation of an integer, or the integer representation of a binary value. You might want to do this if you were displaying non-textual data, such as what you get from interacting with certain system programs and functions.

Solution

Use the string->integer and integer->string built in functions. Each of these functions takes an optional radix argument, which can be used to determine what number base to use for the output (or which base to use for conversion to a numerical value).

> (number->string 16 2)
"10000"
> (string->number "0110001110" 2)
398

Discussion

Note that this recipe is not limited to binary numbers. We could just as easily have presented hexadecimal or octal versions:

> (number->string 16 16)
"10"
> (string->number "266" 8)
182

See Also

NumberRecipeConvOctHex