The binary equivalent of the decimal number 8 is _______?

The binary equivalent of the decimal number 8 is _______?

• A. 0001
• B. 0100
• C. 1000
• D. 1111

Answer: (C)

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.