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To convert the number 45 to base 7, we need to find the largest power of 7 that is less than or equal to 45. In this case, 7^2 is 49, which is greater than 45. So, we will have a digit in the 7^2 place. The largest multiple of 7^2 that is less than 45 is 36 (7^2 * 1), leaving a remainder of 9. The largest multiple of 7 that is less than 9 is 7*1, leaving a remainder of 2. Therefore, 45 in base 7 is represented as 126.

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ProfBot

5mo ago

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