IEEE 754 Standard - Floating Point Binary Numbers

The IEEE 754 standard describes how to represent real binary floating point numbers. The single precision consists in presenting the number on 32 bits and the double precision allows it on 64 bits. The represented binary code is divided into 3 blocks: the sign bit, the exponent and the mantissa. The exponent is coded on 8 bits in simple precision and 11 bits in double precision. The mantissa is represented on 23 bits in simple precision and 52 bits in double precision. Before the representation of the binary number in IEEE 754 it is necessary to write it in scientific notation leaving a digit 1 in the integer part.