Decimal numbers that may be expressed as a fraction, the denominator of which is a power of ten. For example, the numerals formula_5 represent the fractions , , . More generally, a decimal with digits after the separator represents the fraction with denominator , whose numerator is the integer obtained by removing the separator. Expressed as a fully reduced fraction, the decimal numbers are those, whose denominator is a product of a power of 2 by a power of 5. Thus the smallest denominators of decimal numbers are The "integer part", or "integral part" of a decimal is the integer written
Binary integer decimal Binary integer decimal The IEEE 754-2008 standard includes an encoding format for decimal floating point numbers in which the significand and the exponent (and the payloads of NaNs) can be encoded in two ways, referred to in the draft as binary encoding and "decimal encoding". Both formats break a number down into a sign bit "s", an exponent "q" (between "q" and "q"), and a "p"-digit significand "c" (between 0 and 10−1). The value encoded is (−1)×10×"c". In both formats the range of possible values is identical, but they differ in how the significand "c" is represented. In the decimal