Chapter 21: Floating Point Number Representation
Index of Figures
Fig 21.1.1................Mass of Hydrogen atom showing the four parts of a real number
Fig 21.1.2................Negative exponents mean the number is very close to 0. The numbers 0.1, 1.0 and 10.0 are shown on the positive side of the number line.
Fig 21.3.1................The number of bits in the exponent limits the range of magnitudes that can be represented; only the shaded regions and 0 are representable
Fig 21.3.2................The number of bits in the mantissa limits how close the representable numbers are to each other; .073815 is not representable, for example.
Fig 21.6.1................Where denormalized numbers fit into the representable ranges Only the white space around 0 is non-representable
Fig 21.7.1................Representation of 1 in a binary floating point system
Fig 21.7.2................Representation of 1 in binary FP with implied first bit (normalized form)
Fig 21.8.1................Hardware to do floating point addition
Fig 21.8.2................Hardware to do floating point multiplication