Electrical Engineering › Section R · Digital concepts, number systems, and codes › Topic R.4
Binary numbers, conversion, and arithmetic
Every number inside a digital system is stored in binary, a place-value system with only two digits. This topic shows how binary weights work, how to convert between binary and decimal in both directions, fractions included, and how to add, subtract, multiply and divide in base 2.
In this topic
- Place value with base ten
- Binary weights and counting
- Binary to decimal
- Decimal to binary: sum of weights
- Worked example: repeated division by 2
- Decimal fractions to binary
- Binary addition
- Worked example: binary subtraction
- Multiplication and division
- Common mistakes to avoid
- Key takeaways
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