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Binary code represents symbols using a combination of 0s and 1s, where each symbol corresponds to a unique binary number. For example, in the ASCII encoding system, the letter 'A' is represented as 01000001 in binary. Each character or symbol is typically assigned a specific binary value based on a standardized encoding scheme, allowing computers to process and display text. Different encoding systems, such as UTF-8, expand this concept to accommodate a wider range of symbols, including special characters and emojis.

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