Which base is associated with the Octal Number System?

Which base is associated with the Octal Number System?

• A. Octal Number System
• B. Binary Number System
• C. Decimal Number System
• D. Hexadecimal Number System

Answer: (A)

The base associated with the Octal Number System is eight. In octal, each digit represents a power of eight, and the allowed digits are 0 through 7. This base choice is convenient because eight is 2^3, so binary digits can be grouped in threes to map directly to octal digits, which is why octal was popular in early computing. For comparison, the Binary system uses base two, the Decimal system uses base ten, and the Hexadecimal system uses base sixteen.

The base associated with the Octal Number System is eight. In octal, each digit represents a power of eight, and the allowed digits are 0 through 7. This base choice is convenient because eight is 2^3, so binary digits can be grouped in threes to map directly to octal digits, which is why octal was popular in early computing. For comparison, the Binary system uses base two, the Decimal system uses base ten, and the Hexadecimal system uses base sixteen.