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14-SequentialAnalysis

# 14-SequentialAnalysis - Sequential Circuit Analysis Last...

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Sequential circuit analysis 1 Sequential Circuit Analysis Last time we started talking about latches and flip-flops, which are basic one-bit memory units. Today we’ll talk about sequential circuit analysis and design. First, we’ll see how to analyze and describe sequential circuits. State tables show the inputs, outputs, and flip-flop state changes for sequential circuits. State diagrams are an alternative but equivalent way of showing the same information. Combinational circuit Inputs Memory Outputs

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Sequential circuit analysis 2 An example sequential circuit Here is a sequential circuit with two JK flip-flops. There is one input, X, and one output, Z. The values of the flip-flops (Q 1 Q 0 ) form the state , or the memory, of the circuit. The flip-flop outputs also go back into the primitive gates on the left. This fits the general sequential circuit diagram at the bottom. Combinational circuit Inputs Memory Outputs X Z Q0 Q1
Sequential circuit analysis 3 How do you analyze a sequential circuit? For a combinational circuit we could find a truth table, which shows how the outputs are related to the inputs. A state table is the sequential analog of a truth table. It shows inputs and current states on the left, and outputs and next states on the right. For a sequential circuit, the outputs are dependent upon not only the inputs, but also the current state of the flip-flops. In addition to finding outputs, we also need to find the state of the flip-flops on the next clock cycle.

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Sequential circuit analysis 4 Analyzing our example circuit A basic state table for our example circuit is shown below. Remember that there is one input X, one output Z, and two flip-flops Q 1 Q 0 . The present state Q 1 Q 0 and the input will determine the next state and the output.
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