The Octal Number System has eight digits. What are the digits?A) 1,2,3,4,5,6,7,8B) -1,0,2,3,4,5,6,7C) 0,1,2,3,4,5,6,7D) 1,2,3,4,5,A,B,C

Understanding the Octal Number System

The Octal Number System, also known as base-8, is a numeral system that uses eight distinct digits. These digits consist of the numbers from 0 to 7. Unlike the decimal number system (base-10), which uses ten digits (0 through 9), the octal system only utilizes the first eight digits, which are:

0, 1, 2, 3, 4, 5, 6, 7

Analyzing the Options

Now, let's examine the provided options to determine which one correctly lists the digits used in the octal system:

1. Option A: 1, 2, 3, 4, 5, 6, 7, 8 - This option includes the digit '8', which is not a valid digit in the octal system.

2. Option B: -1, 0, 2, 3, 4, 5, 6, 7 - This option includes '-1', which is not a valid digit, and does not include all the necessary digits.

3. Option C: 0, 1, 2, 3, 4, 5, 6, 7 - This option lists all the valid digits of the octal system correctly.

4. Option D: 1, 2, 3, 4, 5, A, B, C - This option introduces letters A, B, C, which are not part of the octal digit representation.

Conclusion

The only option that accurately reflects the digits of the octal number system is:

Final Answer

C) 0, 1, 2, 3, 4, 5, 6, 7