CUET PG 2022 — Computer PYQ

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Question

CUET PG 2022 — Computer PYQ

CUET PG | Computer | 2022

Representation of –11 in sign – and magnitude is

Choose the correct answer:

Explanation

1. Number ka Magnitude (Value) nikalna:

Sabse pehle hum $11$ ko binary mein convert karenge.

11 \div 2 = 5, \text{ remainder } 1

5 \div 2 = 2, \text{ remainder } 1

2 \div 2 = 1, \text{ remainder } 0

1 \div 2 = 0, \text{ remainder } 1

Toh, $11$ ka binary magnitude hota hai: $1011$ .

2. Sign Bit tay karna:

Sign-and-magnitude system mein rules niche diye gaye hain:

Agar number Positive (+) hai, toh Sign Bit $= 0$
Agar number Negative (-) hai, toh Sign Bit $= 1$

Kyunki humein $-11$ represent karna hai, isliye humari Sign Bit $= 1$ hogi.

3. Final Representation (8-bit format mein):

Aam taur par exams mein 8-bit format pucha jata hai.

Sign Bit (MSB): $1$
Magnitude (7 bits): $0001011$ (Humein $1011$ ko 7 bits pura karne ke liye aage zeros lagane honge).

Inhe jodne par:

\text{Result} = \underbrace{1}_{\text{Sign}} \underbrace{0001011}_{\text{Magnitude}}

\text{Final Binary} = 10001011

Final Answer

$-11$ ka Sign-and-Magnitude representation $10001011$ (8-bit mein) ya $11011$ (5-bit mein) hoga.