👉 Translation math involves converting numbers from one numerical system to another, such as from decimal to binary or from one base to another. This process relies on understanding the fundamental properties of each system, like place value in decimal or positional notation in other bases. Key steps include interpreting the digits based on their positional weights, applying conversion factors, and ensuring precision to avoid errors. For instance, translating 255 from decimal to binary involves recognizing that \(2^8 + 2^7 + 2^4 + 2^1 = 256 + 128 + 16 + 2 = 402_2\), where each digit's value is determined by its position in the new base.
