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The value I'd binary digits in reverse order is 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192

The next value would be 16284 so the biggest number is 16284 - 1 = 16283

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Q: What is largest binary number that can be express with 14 bits?
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What is the largest binary number that can be obtained with 64 bits?

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