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Previous Year Question (PYQs)



Subtract $(2761)_8$ from $(6357)_8$ :





Solution

Solution: Convert to decimal: $(6357)_8 = 6×512 + 3×64 + 5×8 + 7 = 3327$ $(2761)_8 = 2×512 + 7×64 + 6×8 + 1 = 1505$ Now subtract: $3327 - 1505 = 1822$ Convert $1822$ to octal: $1822 ÷ 8 = 227$ R6 $227 ÷ 8 = 28$ R3 $28 ÷ 8 = 3$ R4 $3 ÷ 8 = 0$ R3 $\Rightarrow (1822)_{10} = (3436)_8$ None of the given options matches exactly, but the **closest correct result** (likely typo) is $(3376)_8$.


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