MAH-CET 2025 — Computer PYQ

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Question

MAH-CET 2025 — Computer PYQ

MAH-CET | Computer | 2025

What is the hexadecimal equivalent of the octal number 56?

Choose the correct answer:

Explanation

Step 1: Octal se Decimal mein badalna

Pehle hum $56_{8}$ ko base $10$ (Decimal) mein convert karenge:

(56)_{8} = (5 \times 8^{1}) + (6 \times 8^{0})

(56)_{8} = 40 + 6 = (46)_{10}

Step 2: Decimal se Hexadecimal mein badalna

Ab hum $(46)_{10}$ ko base $16$ (Hexadecimal) mein convert karenge. Iske liye hum $46$ ko $16$ se divide karte hain:

46 \div 16 = 2 \text{ (Bhagphal/Quotient), Shesh (Remainder) } = 14

Hexadecimal mein $14$ ko $E$ likha jata hai:

(14)_{10} = (E)_{16}

Isliye:

(46)_{10} = (2E)_{16}

Final Result:

Octal number $56$ ka hexadecimal equivalent niche diye gaye equation ke anusar hai:

(56)_{8} = (2E)_{16}