The binary equivalent of the decimal number 8 is _______?

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Multiple Choice

The binary equivalent of the decimal number 8 is _______?

Explanation:
Converting a decimal number to binary uses powers of two. Each binary digit represents a power of two, with the rightmost bit as 2^0, then 2^1, 2^2, 2^3, and so on. For 8, you only need 2^3 (the fourth position from the right) to be 1, and all lower powers are 0. This gives 1000 in binary. The other options correspond to 1 (0001), 4 (0100), and 15 (1111), so they do not represent 8.

Converting a decimal number to binary uses powers of two. Each binary digit represents a power of two, with the rightmost bit as 2^0, then 2^1, 2^2, 2^3, and so on. For 8, you only need 2^3 (the fourth position from the right) to be 1, and all lower powers are 0. This gives 1000 in binary. The other options correspond to 1 (0001), 4 (0100), and 15 (1111), so they do not represent 8.

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