Base
In mathematics, the term “base” refers to the number system being used to represent and work with numbers
In mathematics, the term “base” refers to the number system being used to represent and work with numbers. The base determines the number of unique digits available and the value of each digit position in a number. The most common base used in our daily lives is the decimal system, also known as base-10, which uses ten symbols (0-9) and each digit’s value is multiplied by a power of 10 based on its position.
For example, the number “123” in base-10 has a digit “3” in the ones place, a digit “2” in the tens place, and a digit “1” in the hundreds place. So, the value of the number is calculated as (3 * 10^0) + (2 * 10^1) + (1 * 10^2) = 3 + 20 + 100 = 123.
In addition to base-10, there are other commonly used number systems. The binary system (base-2) uses only two symbols (0 and 1) and is widely used in computer science and digital electronics. The hexadecimal system (base-16) uses 16 symbols (0 to 9 and A to F) and finds applications in computer programming.
Understanding the base of a number system is important for various mathematical operations, conversions, and applications.
More Answers:
Understanding the Meaning of ‘a’, ‘h’, and ‘k’ in Mathematical Equations | Coefficient, Horizontal Shift, and Vertical ShiftUnderstanding Radicals | The Power of Square Roots and More in Mathematics
Understanding the Concept of Square Roots | Definition, Calculation, and Applications