CUET PG 2025 — Computer PYQ

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Question

CUET PG 2025 — Computer PYQ

CUET PG | Computer | 2025

Which of the following statement is true about IEEE754 representation of +0 and -0?

Choose the correct answer:

Explanation

Solution:

IEEE 754 floating-point format mein kisi bhi number ko teen hisson mein baata jata hai: Sign ( $s$ ), Exponent ( $E$ ), aur Mantissa/Fraction ( $f$ ).

Value = (-1)^s \times (1 + f) \times 2^{E - \text{bias}}

Comparison of $+0$ and $-0$ :

Sign Bit ( $s$ ):
- $+0$ ke liye: $s = 0$
- $-0$ ke liye: $s = 1$
Exponent Bits ( $E$ ):
- Dono ke liye: Sabhi bits 0 hote hain.
Mantissa Bits ( $f$ ):
- Dono ke liye: Sabhi bits 0 hote hain.

Mathematical Identity:

Bit-level par unka representation is prakar dikhta hai:

\text{Representation of } +0 \implies [0][00\dots0][00\dots0]

\text{Representation of } -0 \implies [1][00\dots0][00\dots0]

Yahan se saaf hai ki:

\text{Exponent}_{+0} = \text{Exponent}_{-0}

\text{Mantissa}_{+0} = \text{Mantissa}_{-0}

\text{Sign}_{+0} \neq \text{Sign}_{-0}

Right Answer:

"They differ only in the sign bit; their exponent and mantissa bits are identical."