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Where the a^b means a raised to the b power:

11111111 = 2^7 + 2^6 + 2^5 + 2^4 + 2^3 + 2^2 + 2^1 + 2^0 = 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255

or

Add 1 to reduce the number of 1's to process: 11111111 + 1 = 100000000 = 2^8 = 256 Subtract 1 to get back to the original number: 100000000 - 1 = 256 - 1 = 11111111 = 255

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