<Dd> 2.3434 E-6 = 2.3434 × 10 = 2.3434 × 0.000001 = 0.0000023434 </Dd> <P> The advantage of this scheme is that by using the exponent we can get a much wider range of numbers, even if the number of digits in the significand, or the "numeric precision", is much smaller than the range . Similar binary floating - point formats can be defined for computers . There is a number of such schemes, the most popular has been defined by Institute of Electrical and Electronics Engineers (IEEE). The IEEE 754 - 2008 standard specification defines a 64 bit floating - point format with: </P> <Ul> <Li> an 11 - bit binary exponent, using "excess - 1023" format . Excess - 1023 means the exponent appears as an unsigned binary integer from 0 to 2047; subtracting 1023 gives the actual signed value </Li> <Li> a 52 - bit significand, also an unsigned binary number, defining a fractional value with a leading implied "1" </Li> <Li> a sign bit, giving the sign of the number . </Li> </Ul> <Li> an 11 - bit binary exponent, using "excess - 1023" format . Excess - 1023 means the exponent appears as an unsigned binary integer from 0 to 2047; subtracting 1023 gives the actual signed value </Li>

7 different ways to represent sets of data