Electrical Engineering › Section T · Combinational logic › Topic T.2

Half, full, ripple-carry, and look-ahead adders

A modern processor adds billions of numbers a second, and it does so with the small circuits in this topic. Adding one column of bits is easy; the real engineering lies in passing the carry along quickly.

In this topic

  • Adding one column of bits
  • The half adder
  • The full adder
  • A full adder from two half adders
  • Parallel adders
  • Worked example: 1011 plus 0110
  • Ripple carry and its delay
  • Look-ahead carry
  • Worked example: look-ahead for 1011 plus 0110
  • Subtraction with the same adder
  • Common mistakes to avoid
  • Key takeaways

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