Which binary value represents decimal 14?

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Study for the CodeHS AP Computer Science Principles (CSP) Exam. Prepare with flashcards and multiple choice questions, each question comes with hints and explanations. Get ready for success!

Multiple Choice

Which binary value represents decimal 14?

Explanation:
Converting binary to decimal is about adding the powers of two for each bit that is 1. For the four-bit number 1110, the leftmost bits correspond to 2^3, 2^2, 2^1, and 2^0. Since the bits are 1, 1, 1, 0, you add 8 + 4 + 2, which equals 14. The other binary values give 10 (1010), 15 (1111), and 12 (1100), so they do not represent 14. Therefore, 1110 is the binary representation of decimal 14.

Converting binary to decimal is about adding the powers of two for each bit that is 1. For the four-bit number 1110, the leftmost bits correspond to 2^3, 2^2, 2^1, and 2^0. Since the bits are 1, 1, 1, 0, you add 8 + 4 + 2, which equals 14. The other binary values give 10 (1010), 15 (1111), and 12 (1100), so they do not represent 14. Therefore, 1110 is the binary representation of decimal 14.

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