Which binary number equals decimal 9?

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Multiple Choice

Which binary number equals decimal 9?

Explanation:
Binary numbers use powers of two for each position, with the rightmost digit as 2^0, the next as 2^1, then 2^2, and so on. For the string 1001, there are 1s in the 2^3 and 2^0 places, so the value is 2^3 + 2^0 = 8 + 1 = 9. That matches decimal nine. The other patterns correspond to different sums: 1000 is 2^3 = 8, 1010 is 2^3 + 2^1 = 8 + 2 = 10, and 1111 is 2^3 + 2^2 + 2^1 + 2^0 = 8 + 4 + 2 + 1 = 15.

Binary numbers use powers of two for each position, with the rightmost digit as 2^0, the next as 2^1, then 2^2, and so on. For the string 1001, there are 1s in the 2^3 and 2^0 places, so the value is 2^3 + 2^0 = 8 + 1 = 9. That matches decimal nine. The other patterns correspond to different sums: 1000 is 2^3 = 8, 1010 is 2^3 + 2^1 = 8 + 2 = 10, and 1111 is 2^3 + 2^2 + 2^1 + 2^0 = 8 + 4 + 2 + 1 = 15.

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