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Previous Year Question (PYQs)

Convert the following decimal number to a number system with radix 3: $(106)_{10} = (?)_{3}$




Solution

Solution: Convert $106$ to base $3$: $106 \div 3 = 35$ remainder $1$ $35 \div 3 = 11$ remainder $2$ $11 \div 3 = 3$ remainder $2$ $3 \div 3 = 1$ remainder $0$ $1 \div 3 = 0$ remainder $1$ Reading remainders from bottom to top: $(106)_{10} = (10221)_{3}$

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