Lecture 08 - Analysis of Sequential Circuits PDF

Lecture 08 - Analysis of Sequential Circuits ECE09: Digital Electronics 1 Engr. Zoren P. Mabunga, M.Sc. Prepared by: Engr. Zoren P. Mabunga Terms in Sequential Circuits A characteristic table defines the logical properties of a flip-...

Lecture 08 - Analysis of Sequential Circuits ECE09: Digital Electronics 1 Engr. Zoren P. Mabunga, M.Sc. Prepared by: Engr. Zoren P. Mabunga Terms in Sequential Circuits A characteristic table defines the logical properties of a flip-flop by Characteristic Table describing its operation in tabular form. The time sequence of inputs, outputs, and flip-flop states can be State Table enumerated in a state table (sometimes called transition table). Characteristic Equation Algebraic representation of the logical properties of a flip-flop. Algebraic representation of the behavior of a sequential circuit. State Equation Specifies the next state as a function of present state and inputs. Graphical representation of the information available in a state State Diagram table. Prepared by: Engr. Zoren P. Mabunga Flip-Flop Input Equations (Excitation Equation) It described algebraically the part of a circuit that generates the inputs to flip-flops Prepared by: Engr. Zoren P. Mabunga Analysis with D Flip-flops Prepared by: Engr. Zoren P. Mabunga Prepared by: Engr. Zoren P. Mabunga  JK Flip-Flop J K Q(t+1) Operation Analysis with JK Flip-flops 0 0 0 1 Q(t) 0 No change Reset 1 0 1 Set Characteristic Equation: Q(t+1) = JQ’+K’Q 1 1 Q’(t) Complement Prepared by: Engr. Zoren P. Mabunga Prepared by: Engr. Zoren P. Mabunga  T Flip-Flop Analysis with T Flip-flops T 0 Q(t+1) Q(t) Operation No change 1 Q’(t) complement Characteristic Equation: Q(t+1) = T’Q+TQ’ Prepared by: Engr. Zoren P. Mabunga Prepared by: Engr. Zoren P. Mabunga