NIMCET 2022 — Computer PYQ

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Question

NIMCET 2022 — Computer PYQ

NIMCET | Computer | 2022

‘Floating point representation ‘ is used to represent

Choose the correct answer:

Explanation

A floating-point number is typically represented in scientific notation using three components: the sign ( $s$ ), the significand or mantissa ( $m$ ), and the exponent ( $e$ ). The general mathematical form is:

V = (-1)^s \times m \times b^e

Where:

s: The sign bit (determines if the number is positive or negative).
m: The mantissa (represents the significant digits of the number).
b: The base (usually 2 in binary systems).
e: The exponent (determines the position of the radix point).

Because this format allows the "point" to float, it is specifically designed to represent Real Numbers (numbers with fractional parts like 3.14 or very large/small values).

\therefore \text{Correct Option: } \mathbf{B}

Detailed Explanation

Integers and Whole Numbers: These are typically represented using Fixed-Point notation or Two's Complement. These systems do not have a fractional component.
Boolean Values: These represent logical states (True/False or 1/0) and only require a single bit of data.
Real Numbers: To represent numbers that are not integers (such as $\pi$ , $0.005$ , or $6.022 \times 10^{23}$ ), the computer uses floating-point representation. This allows the system to support a vast range of values that fixed-point systems cannot handle efficiently.