title: bases # we usually write numbers in base 2503 = 2000 + 500 + 0 + 3 (picture of a bunch of powers of 10 being added up to make 2503 -- 1000s, 100s, 10s, 0s) # but you can write numbers in any base here's 10 in base 2: 1 0 0 1 0 16 + 0 + 0 + 2 + 0 = 18 (picture of a bunch of powers of 2 being added up to make 18: 16, 8, 4, 2, 1) # we use 4 bases with computers * base 2 (binary) * base 8 (octal) * base 10 (decimal) * base 16 (hexadecimal) octal is the least common by far # how to convert from base 10 to base 20 Let's convert 19! we'll start at the end and move left 1. divide by 2: 19 / 2 = 9 remainder 1 2. write the remainder (1) below and 9 on the left 3. repeat (picture of 19 -> 9 -> 4 -> 2 -> 1 , with the remainders 1, 0, 0, 1, 1) the answer is 10011!
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