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S.1 MATHEMATICS HOLIDAY WORK )In base 12, letters A and B can be used to represent 10 and 11 respectively convert 9A42 twelve to nonary base.​

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Answer:

Write the answer with the subscript indicating the base. For example, the answer is: 9A42twelve​=26752nine​

Explanation:

to convert a number from base 12 to base 9. Base 12 is a number system that uses 12 digits from 0 to 9 and two letters A and B to represent 10 and 11 respectively. Base 9 is a number system that uses 9 digits from 0 to 8. To convert a number from base 12 to base 9, we can use the following steps:

Convert the number from base 12 to base 10 by multiplying each digit by its place value and adding them up. For example, 9A42 twelve = (9 x 12^3) + (10 x 12^2) + (4 x 12^1) + (2 x 12^0) = 15522 ten.

Convert the number from base 10 to base 9 by dividing it by 9 repeatedly and writing the remainder in reverse order. For example, 15522 ten = (1724 x 9) + 2, so the first remainder is 2. Then, 1724 ten = (191 x 9) + 5, so the second remainder is 5. Continuing this process, we get the remainder as 2, 5, 7, 6, and 2. Writing them in reverse order, we get the number in base 9 as 26752 nine.

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