JAMB 2018 · UTME · Q19

Convert 2415241_5 to base 8.

Worked solution (try it first)
  1. Change to base ten: 2415=2×25+4×5+1=71241_5 = 2 \times 25 + 4 \times 5 + 1 = 71.
  2. Divide by 8: 71÷8=871 \div 8 = 8 remainder 7, then 8÷8=18 \div 8 = 1 remainder 0, then 1÷8=01 \div 8 = 0 remainder 1.
  3. Read the remainders from the bottom up: 1078107_8, option B.

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