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Combinational logic is used in computer circuits to perform Boolean algebra on input signals and on stored data. Practical computer circuits normally contain a mixture of combinational and sequential logic. For example, the part of an arithmetic logic unit, or ALU
Virtually all circuits in practical digital devices are a mixture of combinational and sequential logic. A familiar example of a device with sequential logic is a television set with "channel up" and "channel down" buttons. [ 1 ]
Similarly, we distinguish between combinational circuits and sequential circuits. Combinational circuits produce their outputs based only on the current inputs. They can be represented by Boolean relations. Some examples are priority encoders, binary decoders, multiplexers, demultiplexers.
Switching circuit theory is the mathematical study of the properties of networks of idealized switches. Such networks may be strictly combinational logic, in which their output state is only a function of the present state of their inputs; or may also contain sequential elements, where the present state depends on the present state and past states; in that sense, sequential circuits are said ...
Example of a simple circuit with a toggling output. The inverter forms the combinational logic in this circuit, and the register holds the state. Many digital systems are data flow machines. These are usually designed using synchronous register transfer logic and written with hardware description languages such as VHDL or Verilog.
Example of a simple circuit with the output toggling at each rising edge of the input. The inverter forms the combinational logic in this circuit, and the register holds the state. A synchronous circuit consists of two kinds of elements: registers (sequential logic) and combinational logic.
PLA schematic example. A programmable logic array (PLA) is a kind of programmable logic device used to implement combinational logic circuits.The PLA has a set of programmable AND gate planes, which link to a set of programmable OR gate planes, which can then be conditionally complemented to produce an output.
The combinational logic circuitry of the 74181 integrated circuit, an early four-bit ALU, with logic gates. An ALU is a combinational logic circuit, meaning that its outputs will change asynchronously in response to input changes.