Computer Science – 1.1 Data Representation | e-Consult
1.1 Data Representation (1 questions)
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Binary Advantages:
- Efficient Hardware Implementation: Binary is naturally suited to digital circuits (e.g., transistors being either on or off, representing 1 or 0). This makes it very efficient to implement in hardware.
- Direct Mapping to Logic Gates: Binary directly corresponds to the operation of logic gates (AND, OR, NOT), simplifying circuit design.
- Foundation of Computer Architecture: All data within a computer is ultimately represented in binary.
Binary Disadvantages:
- Difficult for Humans to Read: Long strings of 0s and 1s are difficult for humans to remember and interpret.
- Error-Prone: It's easy to make mistakes when manually entering or reading binary numbers.
Hexadecimal Advantages:
- Compact Representation: Hexadecimal uses only 16 digits (0-9 and A-F) to represent the same amount of information as binary (which requires 8 digits). This makes it much more compact.
- Human-Readable: Hexadecimal is easier for humans to read and write than binary.
- Convenient for Memory Addressing: Hexadecimal is commonly used to represent memory addresses because it provides a concise way to express large numbers.
Hexadecimal Disadvantages:
- Requires Conversion: Converting between binary and hexadecimal is necessary for hardware implementation.
- Not Directly Suitable for Hardware: Hexadecimal is not directly implemented in hardware; it's a shorthand notation for binary.
Example: Consider representing the decimal number 255. In binary, this is 11111111. In hexadecimal, this is FF. The hexadecimal representation is much shorter and easier to understand.