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So what they need is a rule for the leftovers after you take out the powers of 2 which behaves the same way as the bigger 'take out the powers of 2' rule. Can you....take out powers of something smaller? No, that doesn't feel like it'd work - it treats the places where numbers are whole as different, the real answer won't do that...

Version: 2
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So what they need is a rule for the leftovers after you take out the powers of 2 which behaves the same way as the bigger 'take out the powers of 2' rule. Can you....take out powers of something smaller? No, that doesn't feel like it'd work - it treats the places where numbers are whole as different, the real answer won't do that... Can you...define how close, in a multiplying way, the bit leftover is to being another power of 2?