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Question

Subtract 1732765 from 3673124 in the scale of eight.

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Solution

3673124 from scale of eight to decimal is 4×80+2×81+1×82+3×83+7×84+6×85+3×86=1013332
1732765 from scale of eight to decimal is 5×80+6×81+7×82+2×83+3×84+7×85+1×86=505333
Difference between them is =1013332505333=507999
Now we need to represent this in scale of 8 is:
When 507999 is divided by 8 quotient is 63499 and remainder is 7
When 63499 is divided by 8 quotient is 7937 and remainder is 3
When 7937 is divided by 8 quotient is 992 and remainder is 1
When 992 is divided by 8 quotient is 124 and remainder is 0
When 124 is divided by 8 quotient is 15 and remainder is 4
When 15 is divided by 8 quotient is 1 and remainder is 7
When 1 is divided by 8 quotient is 0 and remainder is 1
Hence, the difference is 1740137 in scale of eight.

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