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design combinational logic circuits • Combinational logic circuits do not have an internal stored state, i.e., they have no memory. Consequently the output is solely a function of the current inputs. • Later, we will study circuits having a stored internal state, i.e., sequential logic circuits.
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Learn how to design and analyze combinational circuits using basic gates, half adder, full adder, subtractor, parallel adder and subtractor, and more. This PDF file contains theory, examples, truth tables, K-maps, logic diagrams and references.
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• The operation of combinational circuits can be specified logically by a set of Boolean functions. • Sequential circuits contain storage elements in addition to logic gates. • The outputs of sequential circuits are a function of the inputs and the state of the storage elements.
A sequential circuit is a combinational circuit with some feedback from the outputs. In a sequential circuit, the output state depends on both the inputs and the outputs. The term “sequential” comes from the fact that the output depends not only on the current states, but on the states immediately preceding.
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A sequential circuit is said to be synchronous if the internal state of the machine changes at specific instants of of time as governed by a clock. Circuits with an acyclic underlying topology are combinational. Feedback (cyclic) is a necessary condition for a circuit to be sequential.
Learn the difference between combinational and sequential circuits, and how to build them using VHDL. See examples of decoders, multiplexers, latches, flip-flops, and bi-directional buses.
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Last lecture: Boolean logic and combinational circuits. Basic abstraction = controlled switch. In principle, can build TOY computer with a combinational circuit.
