Electrical Engineering › Section R · Digital concepts, number systems, and codes › Topic R.5
Complements and signed numbers
A register holds only bits, so negative numbers need a convention. This topic covers the 1's and 2's complements, the three ways of writing signed integers, the floating-point format for very large and small values, and how 2's complement lets one adder both add and subtract, with a test for overflow.
In this topic
- The 1's complement
- The 2's complement
- Three signed-number forms
- Reading a 2's complement number
- Floating-point numbers
- Adding signed numbers
- Worked example: adding with a discarded carry
- Worked example: subtraction by addition
- Multiplying and dividing signed numbers
- Common mistakes to avoid
- Key takeaways
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