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Using n bits, you can count to 2n - 1. This is for unsigned integers.

So 10 bits = 210 - 1 = 1023

14 bits = 214 - 1 = 16383

To count to 511 you need log2(511+1) = log2(512) = 9 bits.

To count to 63 you need log2(63+1) = log2(64) = 6 bits.

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Q: What is the maximum number that you can count up to using 10 bits14 bits and count up to a maximum of 511 63?
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