Float Binary (23 < p ≤ 52)

Float Binary (23 < p ≤ 52) is a double-precision, basic format, binary floating-point number (ANSI/IEEE 754-1985 compliant). It consists of a 1-bit sign, 11-bit biased exponent (bias = 1023), and 52+(1)-bit binary fraction (hidden bit).

An exponent of 2047 represents +/- infinity or not-a-number. +/- infinity is represented by an exponent of 2047 and zero as the fraction part; the sign bit (S) denotes the + or - infinity. Not-a-number is represented by an exponent of 2047 and any non-zero value in the fraction part; the sign bit of not-a-number is not significant. An exponent of 0 denotes a denormalized value of reduced precision. Both +0 and -0 are possible. Note that the range is approximate and indicates representable values, which include zero and both negative and positive numbers.