Base-3, also known as ternary, is a numeral system that uses three digits: 0, 1, and 2. Unlike the more common base-10 system, which uses ten digits, base-3 represents numbers using combinations of these three digits. Each position in a base-3 number represents a power of 3, similar to how each position in a base-10 number represents a power of 10. In base-3, the number 10 represents 3 in decimal, while 11 represents 4, and 12 represents 5. This system is useful in various fields, including computer science and mathematics, where it can simplify certain calculations and algorithms. Base-3 can also be applied in ternary logic, which is a form of logic that uses three truth values instead of two.