The question that is asked is as follows: Design a sequential logic circuit whose output Z is 1 except when the input X = 1 for at least four clock periods. Step 1c – Do the Transitions for the Expected Sequence Here is a partial drawing of the state diagram. t+1 represent the Next State . In mathematic terms, this diagram that describes the operation of our sequential circuit is a Finite State Machine. This procedure involves the following steps; First, derive the state diagram; Take as the state table or an equivalence representation, such as a state diagram. Steps to Design Sequential Circuits: 1) Draw a State Diagram 2) Make a Next State Truth Table (NSTT) 3) Pick Flip-Flop type 4) Add Flip-Flop inputs to NSTT using Flip-Flop excitation equation (This creates an Excitation Table.) Two sequen­tial circuits may exhibit the same input-output behavior but have a different number of inter­nal states in their state diagram. Sequential Logic Circuit Block Diagram Design Procedure of Sequential Logic Circuits. Let’s say we are at the state S2: 2 bits already matched, That means “01” of the pattern “1101” already received. I am only stuck on the very beginning when I have to design the state diagram and state table. 7 A basic Mealy state diagram • What state do we need for the sequence recognizer? Thus the expected transition from A 1. Synchronous Sequential Circuits & Verilog Blocking vs. non-blocking assignment statements It has only the sequence expected. ... State Diagram is made with the help of State Table. Note the labeling of the transitions: X / Z. Then the output Z is 0. State Table/Diagram Specification There is no algorithmic way to construct the state table from a word description of the circuit. Reducing the number of flip-flops reduces the cost of a circuit. Certain properties of sequential circuits may simplify a design by reducing the number of gates and flip-flops it uses. Make a note that this is a Moore Finite State … The next step is to design a State Diagram. 10 Elec 326 19 Sequential Circuit Analysis Derive the state table from the transition table: Where 00 = A, 01 = B, 10 = C, 11 = D Derive the state diagram from the state table: Q X=0 X=1 AA B0 BB D0 CC A1 DD C1 Q* Z Elec 326 20 Sequential Circuit Analysis 4. The state diagram is constructed using all the states of the sequential circuit in question. Draw the circuit. Note that the diagram returns to state C after a successful detection; the final 11 are used again. for input “0”: Since the “01” had been already received, now a “0” will make the sequence as “001”. February 13, 2012 ECE 152A - Digital Design Principles 6 Reading Assignment Brown and Vranesic (cont) 8 Synchronous Sequential Circuits (cont) 8.2 State-Assignment Problem One-Hot Encoding 8.7 Design of a Counter Using the Sequential Circuit Approach 8.7.1 State Diagram and State Table for Modulo-8 Counter 8.7.2 State Assignment 8.7.3 Implementation Using D-Type Flip-Flops So the next state would be the same “S1” and the output will be “0”. – The circuit must ―remember‖ inputs from previous clock cycles – For example, if the previous three inputs were 100 and the current input is 1, then the output should be 1 – The circuit must remember occurrences of parts of the desired pattern—in this case, 1, 10, and 100 State Diagram . Elec 326 2 Sequential Circuit Design 1. Instead, we provide a few examples to illustrate the technique. •Combinational circuits – output is simply dependent on the current input • Sequential circuits – output may depend on the input sequence • The effect of the input sequence can be memorized as a state of the system Sequential Circuit and State Machine 1 • So a sequential circuit is also called a State Machine • Memory elements (usually D flop -flips) are used to store the Consider the Sequential circuit given below , Make State Equation of Next State of Flip Flop with the help of basic gates as , A(t+1) = A(t)x(t) + B (t) x (t) Description : As A is the output of first D Flip Flop , we make Next State equation of A(t+1) . It builds up the relationship between … Looks like sequential circuit design flow is very much the same as for combinational circuit. Use J-K flip-flops. This is a diagram that is made from circles and arrows and describes visually the operation of our circuit. So pattern matching failed.

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