Octal number system — Confirm or refute: “The octal system consists of eight digits, 0 through 7.”

Introduction / Context: Number systems specify the base (radix) and the set of digits used. Octal has radix 8, which means each digit place represents a power of 8 and valid digit symbols are 0–7. This question tests recognition of the basic definition of octal.Given Data / Assumptions:

• Base b number systems use digits 0 to b−1.
• Octal’s base is 8, hence 8 distinct digit symbols.
• Octal historically mapped well to 3-bit binary groups (since 8 = 2^3).

Concept / Approach: Each position in an octal numeral has weight 8^n. Converting between octal and binary is straightforward via 3-bit groupings, which made octal popular on early minicomputers with 12- or 24-bit words. While hex later became standard, the digit set remains 0–7 by definition.Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

Common Pitfalls:

Final Answer: