Correct Answer: Correct answer is: (B) Our number system is base-10; the binary system is base-2.
Exam Relevance: SAT, ACT, AP Computer Science
Difficulty: Easy
Concept notes: The decimal system, which is the number system we commonly use, is a base-10 system. This means it uses ten digits (0 through 9). The binary system, on the other hand, is a base-2 system, using only two digits (0 and 1).
Common Mistakes: Students may confuse the base of the binary system with other small numbers, such as base-3 or base-1, or they may not understand the concept of a base system at all.
Explanations: The decimal system, or base-10 system, is the standard number system used in everyday life. It uses ten digits (0 through 9) to represent numbers. In contrast, the binary system, or base-2 system, is used extensively in computing and digital electronics. It uses only two digits (0 and 1) to represent numbers. Therefore, the correct answer is that our number system is base-10, and the binary system is base-2.
Option Analysis: - Option A: Incorrect because the decimal system is not base-5, and the binary system is not base-3.
- Option B: Correct because the decimal system is base-10, and the binary system is base-2.
- Option C: Incorrect because the binary system is not base-1; it is base-2.
- Option D: Incorrect because the decimal system is not base-100; it is base-10.
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