Why Normalise Binary Number?

The normalised version of a fractional number provides a unique representation for a number and allows the maximum possible precision with a given number of bits. Moreover, the mantissa

of a floating point number holds the significant bits of that number, i.e. the detail of the value of a number.

Why do we Normalise binary?

Normalisation is the process of moving the binary point so that the first digit after the point is a significant digit. This maximises precision in a given number of bits. To maximise the precision of a positive number you should have a mantissa with no leading zeros.

What is normalized binary number?

Also called double precision. The sign of a binary floating-point number is represented by a single bit. A 1 bit indicates a negative number, and a 0 bit indicates a positive number. Before a floating-point binary number can be stored correctly, its mantissa must be normalized.