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Digital sum
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There are a number of common mathematical meanings of the term '''digital sum''': == Values == * The '''[[digit sum]]''' - add the digits of the representation of a number in a given base. For example, considering 84001 in base 10 the digit sum would be 8 + 4 + 0 + 0 + 1 = 13. * The '''[[digital root ]]''' - repeatedly apply the digit sum operation to the representation of a number in a given base until the outcome is a single digit. For example, considering 84001 in base 10 the digital root would be 4 (8 + 4 + 0 + 0 + 1 = 13, 1 + 3 = 4). == Operations == The mathematical operation [[digital sum in base b]] can also be called the digital sum. This is where each [[positional notation|place]] is summed independently, ignoring digit [[carry (arithmetic)|carry]]. For example, 84001 + 56734 = (8 + 5 = 1'''3''')(4 + 6 = 1'''0''')(0 + 7 = '''7''')(0 + 3 = '''3''')(1 + 4 = '''5''') = 30735. {{disambiguation}} [[Category:Integers]]
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