What is the major distinguishing feature among the octal, decimal, and binary systems?

The major distinguishing feature among the octal, decimal, and binary systems is the base of each numerical system. The base determines how many unique digits are used in the system, as well as how values are represented.

In the binary system, the base is 2, meaning it uses only two digits: 0 and 1. This is suitable for digital electronics and computer systems where each bit can represent one of two states. The decimal system, widely used in everyday arithmetic, has a base of 10 and incorporates ten digits: 0 through 9. The octal system, with a base of 8, uses eight digits: 0 through 7.

By understanding the base, one can deduce how numbers are constructed and manipulated within each system. Each of these numerical systems will have different efficiencies and applications based on their base, particularly in computing and electronic design, making it a critical component of understanding these systems.