The number system with the least number of distinct symbols is the binary system because it uses only two symbols: 0 and 1. Here’s a breakdown of the options:

1. Decimal system (A): Uses 10 symbols (0-9).
2. Base-seven system (B): Uses 7 symbols (0-6).
3. Binary system (C): Uses 2 symbols (0 and 1) → Correct.
4. Hexadecimal system (D): Uses 16 symbols (0-9 and A-F).
5. Base-five system (E): Uses 5 symbols (0-4).
6. Octal system (F): Uses 8 symbols (0-7).

Correct Answer:

C. Binary system

Would you like further explanation or examples of these number systems?

5 Related Questions:

1. What is the relationship between the number of symbols and the base of a numeral system?
2. How do binary numbers represent decimal values?
3. Why is the binary system widely used in computers?
4. What is the role of hexadecimal in programming and computing?
5. How do you convert between base-five and decimal systems?

Tip:

When comparing numeral systems, remember that the base determines the number of distinct symbols required to represent values.