What is the principle of the full adder?
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Principle of full adder:
The full adder, whose English name is full-adder, is a combined circuit in which two binary numbers are added and summed by a gate circuit, which is called a full adder. A full adder can handle low carry and output standard addition carry. Multiple one-bit full adders can be cascaded to get multi-bit full adders. Commonly used binary four-bit full adder 74LS283.
The logical expression of a full adder (FA) is:
Stema ⊕ B ⊕ Cin;Cout=AB+BCin+ACin, where A ⊕ B is the number to be added, Cin is the carry input; S is the sum, and Co is the carry output; if you want to achieve multi-digit addition, you can cascade it, that is, use it in series.
For example, 32-bit + 32-bit requires 32 full adders; this cascade is a slow serial structure, and carry-ahead addition can be used if you want to add fast in parallel.
If the input of the full adder is replaced with the combined functions Xi and Y (S0) of An and B. S3 control), and then add XPerry Y and carry through the full adder, which is the logical structure of ALU. Different combinatorial functions can be obtained with different control parameters, so many kinds of arithmetic and logic operations can be realized.
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