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#### 21.2.6 Read Syntax for Numerical Data

The read syntax for integers is a string of digits, optionally preceded by a minus or plus character, a code indicating the base in which the integer is encoded, and a code indicating whether the number is exact or inexact. The supported base codes are:

• `#b`, `#B` -- the integer is written in binary (base 2)
• `#o`, `#O` -- the integer is written in octal (base 8)
• `#d`, `#D` -- the integer is written in decimal (base 10)
• `#x`, `#X` -- the integer is written in hexadecimal (base 16).

If the base code is omitted, the integer is assumed to be decimal. The following examples show how these base codes are used.

```-13
=>
-13

#d-13
=>
-13

#x-13
=>
-19

#b+1101
=>
13

#o377
=>
255
```

The codes for indicating exactness (which can, incidentally, be applied to all numerical values) are:

• `#e`, `#E` -- the number is exact
• `#i`, `#I` -- the number is inexact.

If the exactness indicator is omitted, the integer is assumed to be exact, since Guile's internal representation for integers is always exact. Real numbers have limited precision similar to the precision of the `double` type in C. A consequence of the limited precision is that all real numbers in Guile are also rational, since any number R with a limited number of decimal places, say N, can be made into an integer by multiplying by 10^N.