The 4 number system refers to the representation of numbers using a base of 4. In this system, only four digits are used to represent all numbers, namely 0, 1, 2, and 3.
Similar to the decimal system (base 10), where each digit position represents a power of 10, in the base 4 system, each digit position represents a power of 4. The rightmost digit represents the value of 4^0, the second-rightmost digit represents the value of 4^1, the third-rightmost digit represents the value of 4^2, and so on.
For example, the number 230 in the base 4 system is calculated as follows:
2 * 4^2 + 3 * 4^1 + 0 * 4^0 = 2 * 16 + 3 * 4 + 0 * 1 = 32 + 12 + 0 = 44 (in base 10).
Similarly, decimal numbers can be converted to the base 4 system by dividing the number successively by 4 and noting the remainders at each step.
The base 4 system is commonly used in computer science for encoding data and in certain computer hardware systems.
Define the 4 (four) NUMBER SYSTEM.
1 answer