Explanation:

Floating-Point form Representation of a real number:

This representation does not reserve a specific number of bits for the integer part or the fractional part. Instead, it reserves a certain number of bits for the number (called the mantissa or significand) and a certain number of bits to say where within that number the decimal place sits (called the exponent).

Important Point:

The floating number representation of a number has two parts:

1. The first part represents a signed fixed-point number called the mantissa.
2. The second part of designates the position of the decimal (or binary) point and is called the exponent.

The fixed-point mantissa may be a fraction or an integer. Floating -point is always interpreted to represent a number in the following form: M*r^e.

Only the mantissa ‘m’ and the exponent ‘e’ are physically represented in the register (including their sign). A floating-point binary number is represented in a similar manner except that using base 2 for the exponent. A floating-point number is said to be normalized if the most significant digit of the mantissa is 1.