ECE 09241 Lecture Notes - Negative Number, Comparator

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Intro to digital systems course notes: lecture 8. Many digital circuits, like in a calculator or computer, must add binary numbers. For decimal numbers, adding by hand starts at the right and adds each digit, possibly carrying a 1 to the next digit. An adder computes a + b, where a and b are n-bit numbers, such as 8-bit numbers. A carry-ripple adder mimics adding by hand, adding a digit"s pair of bits and carry-in bit, and generating a sum and carry-out bit. A full adder is a circuit that adds three bits and generates a sum and carry-out. The strange name "full adder" is historical, intended to contrast with a half adder. A half adder is a circuit that adds two bits and generates a sum and carry-out bit. A full adder can be designed starting from a truth table. An incrementer adds 1 to a number, which is a common operation.

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