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For example, the part of an arithmetic logic unit, or ALU, that does mathematical calculations is constructed using combinational logic. Other circuits used in computers, such as half adders, full adders, half subtractors, full subtractors, multiplexers, demultiplexers, encoders and decoders are also made by using combinational logic.
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. Sequential circuits produce their output based on both current and past inputs, depending on a clock signal to distinguish the previous ...
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.
Combinatory logic is a notation to eliminate the need for quantified variables in mathematical logic.It was introduced by Moses Schönfinkel [1] and Haskell Curry, [2] and has more recently been used in computer science as a theoretical model of computation and also as a basis for the design of functional programming languages.
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.
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.
In digital electronics, a binary decoder is a combinational logic circuit that converts binary information from the n coded inputs to a maximum of 2 n unique outputs. They are used in a wide variety of applications, including instruction decoding, data multiplexing and data demultiplexing, seven segment displays, and as address decoders for memory and port-mapped I/O.
In NMOS logic, the lower half of the CMOS circuit is used in combination with a load device or pull-up transistor (typically a depletion load or a dynamic load). AOI gates are similarly efficient in transistor–transistor logic (TTL). Examples. CMOS 4000-series logic family: CD4085B = dual 2-2 AOI gate [3] CD4086B = single expandable 2-2-2-2 ...