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Question

Transform 212231 from scale four to scale five.

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Solution

212231 from scale four to decimal is 1×40+3×41+2×42+2×43+1×44+2×45=2477
When 2477 is divided by 5 quotient is 495 and remainder is 2
When 495 is divided by 5 quotient is 99 and remainder is 0
When 99 is divided by 5 quotient is 19 and remainder is 4
When 19 is divided by 5 quotient is 3 and remainder is 4
When 3 is divided by 5 quotient is 0 and remainder is 3
Hence, 212231 from scale four to 34402 in the scale of five.

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