Define a number system

1. Define a number system.

2. Distinguish between positional and nonpositional number systems.

3. Define the base or radix in a positional number system. What is the relationship between a base and the number of symbols in a positional number system?

4. Explain the decimal system. Why is it called decimal? What is the base in this system?

5. Explain the binary system. Why is it called binary? What is the base in this system?

6. Explain the octal system. Why is it called octal? What is the base in this system?

7. Explain the hexadecimal system. Why is it called hexadecimal? What is the base in this system?

8. Why is it easy to convert from binary to hexadecimal and vice versa?

9. How many bits in the binary system are represented by one digit in the hexadecimal system?

10. How many bits in the binary system are represented by one digit in the octal system?