Convert 17ten to a binary. Explain your answer

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To convert the decimal number 17 to binary, we repeatedly divide the number by 2 and record the remainders.

17 ÷ 2 = 8 with a remainder of 1
8 ÷ 2 = 4 with a remainder of 0
4 ÷ 2 = 2 with a remainder of 0
2 ÷ 2 = 1 with a remainder of 0
1 ÷ 2 = 0 with a remainder of 1

Reading the remainders from bottom to top, we get 10001. Therefore, 17ten in binary is 10001.
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