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A binary sequence is one in which only two different values are allowed. In computers, 1 and 0 are the conventional ones. So 10100110001 is a binary sequence. The sex of children born to a given set of parents could be b,g,g,b. This is a binary sequence. There is no conceptual limit to the length of a binary sequence.
9 (base 10) = 1001 (base 2)
Binary numbers are written with two symbols, 0 and 1. It is not about counting by 2, any number can be written as a binary number, with the correct sequence of zeros and ones.
Expressed in decimal, the sum of the numbers 1 to 8192 is 33558528 - expressed in binary, this number is equal to 10000000000001000000000000.
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