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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 ...
At the time, the methods employed to design logic circuits (for example, contemporary Konrad Zuse's Z1) were ad hoc in nature and lacked the theoretical discipline that Shannon's paper supplied to later projects. Shannon's work also differered significantly in its approach and theoretical framework compared to the work of Akira Nakashima.
Practical design of combinational logic systems may require consideration of the finite time required for practical logical elements to react to changes in their inputs. Where an output is the result of the combination of several different paths with differing numbers of switching elements, the output may momentarily change state before ...
In 1938, Claude Shannon showed that the two-valued Boolean algebra can describe the operation of switching circuits. In the early days, logic design involved manipulating the truth table representations as Karnaugh maps. The Karnaugh map-based minimization of logic is guided by a set of rules on how entries in the maps can be combined.
A logic circuit diagram for a 4-bit carry lookahead binary adder design using only the AND, OR, and XOR logic gates.. A logic gate is a device that performs a Boolean function, a logical operation performed on one or more binary inputs that produces a single binary output.
Bahukhandi, Ashirwad. Metastability. Lecture Notes for Advanced Logic Design and Switching Theory. January 2002. Cummings, Clifford E. Synthesis and Scripting Techniques for Designing Multi-Asynchronous Clock Designs. SNUG 2001. Haseloff, Eilhard. Metastable Response in 5-V Logic Circuits. Texas Instruments Report. February 1997.
A revolutionary work for switching circuit theory, Shannon diagramed switching circuits that could implement the essential operators of Boolean algebra. Then he proved that his switching circuits could be used to simplify the arrangement of the electromechanical relays that were used during that time in telephone call routing switches. Next, he ...
The original theory of asynchronous circuits was created by David E. Muller in mid-1950s. [8] This theory was presented later in the well-known book "Switching Theory" by Raymond Miller. [9] The term "asynchronous logic" is used to describe a variety of design styles, which use different assumptions about circuit properties. [10]