What is the base of a ternary numeral system?

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Study for the Network Security Instructional Terminology Test. Enhance your knowledge with multiple choice questions, each accompanied by hints and explanations. Ensure readiness for your exam!

Multiple Choice

What is the base of a ternary numeral system?

Explanation:
Ternary uses three symbols for digits, so its base is 3. The base of a numeral system is the number of distinct digits it uses and sets how each position is weighted as powers of that base. In ternary, digits 0, 1, and 2 are used, and each place represents a power of 3 (3^0, 3^1, 3^2, and so on). For example, 210 in ternary equals 2×9 + 1×3 + 0×1 = 18 + 3 = 21 in decimal, illustrating how the base determines value. Other bases correspond to different systems: base 2 uses digits 0 and 1 (binary), base 10 uses digits 0–9 (decimal), and base 16 uses 0–9 plus A–F (hexadecimal).

Ternary uses three symbols for digits, so its base is 3. The base of a numeral system is the number of distinct digits it uses and sets how each position is weighted as powers of that base. In ternary, digits 0, 1, and 2 are used, and each place represents a power of 3 (3^0, 3^1, 3^2, and so on). For example, 210 in ternary equals 2×9 + 1×3 + 0×1 = 18 + 3 = 21 in decimal, illustrating how the base determines value. Other bases correspond to different systems: base 2 uses digits 0 and 1 (binary), base 10 uses digits 0–9 (decimal), and base 16 uses 0–9 plus A–F (hexadecimal).

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