There are three sections to floating point notation using one byte – list the purpose of...

Question

Question

There are three sections to floating point notation using one byte – list the purpose of each segment – sign bit, exponent, mantissa. (3pts)

engineering Computer-Science

Answer 1

Answer #1

A floating-point number can be represented in two notation as given below:

Single precision floating point:

Double precision floating point:

In a single byte, we can represent a number as given below:

Sign bit

The sign bit is used to determine the stored value is positive or negative and normally this bit is the first bit in a standard representation.

0 -> Positive

1 -> Negative

It is stored in a single bit.

Exponent

Exponent is an integer value and this number determines the position of the decimal point in a float number.

This number is calculated by 2^k-1 -1

'k' represents the number of bits in the exponent field.

Mantissa

In a normalized representation, '1' is omitted from the binary representation and the rest part is known as mantissa.

Answer 2

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