Electrical Engineering › Section R · Digital concepts, number systems, and codes › Topic R.6
Hexadecimal, octal, BCD, and error codes
Long strings of bits are hard for people to read, and plain binary is not always the most useful code. This topic covers hexadecimal and octal shorthand, binary-coded decimal, the Gray code, ASCII and Unicode text, and the parity and CRC codes that detect transmission errors.
In this topic
- Hexadecimal: four bits per digit
- Worked example: hex conversions
- Hex arithmetic
- Octal: three bits per digit
- Binary-coded decimal
- Worked example: BCD addition
- The Gray code
- ASCII and Unicode
- Parity bits
- Worked example: a CRC check
- Common mistakes to avoid
- Key takeaways
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