ELi5: How do computers do math?

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How do computers do math with binary numbers, or do they?

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The computer has logic circuits that are dedicated to quick adding, subtracting, etc. the numbers are represented in binary. The number 1 in binary is 0001, number 2 in binary is 0010. Add the binary numbers together and you get 0011 which is the number 3. The logical circuits handle this type of calculation and there are millions of these circuits in a computer.

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