Sequential Logic Circuits with feedback " # # ! 1 Sequential Logic Simplest circuits with feedback: latch % 3 What We Need: 4 What We Need: % * % * $ & + ' , - , . / " & ( ) # " " Sequential Logic # # Sequential Logic " 2 Let’s Use This Latch $ " Sequential Logic 0 * # ( - , # Sequential Logic 5 Sequential Logic 6 Let’s Use This D flip-flop - Registers # % 1 2( 1 3( # " $ . Sequential Logic 7 Example - Circuit with Feedback / Sequential Logic 8 Sequential Logic 10 Examples (cont’d) ) ) Sequential Logic 9 Example - Circuit without Feedback Timing Methodologies (cont’d) ) .$ / .$ / Sequential Logic 11 Sequential Logic 12 Typical timing specifications 0 , - Synchronous System Model , 4 , , 0 . ' ( ( ! ! ! & / ! Q0 ! ( ) " Q1 Combinational Logic * ! ! # $% # &% 13 Sequential Logic System Clock Frequency Shift register 4 5 6 5 " 7$ : ! 8 :, 9 6 14 Sequential Logic , -.! Q0 Combinational Logic -.! -.!& -.!$ Q1 + , ' * ' * ' * ' * ( ) tsu reg tpd th C.L. tpd Sequential Logic 15 4-bit Universal shift register " 16 Sequential Logic Design of Universal Shift Register , : 8 8 99 99 5 5 6 6 , ,4 / / ,7 * ' ( ) / / ( 123 & *# ,4 % 5 6 Sequential Logic 17 Sequential Logic + # ,% 0 *# ,7 % 5 6 18 Binary counter Other Counters: cheaper/faster ; 1)4 8 2( , < ,2 ( 2< < < ( < 2< < ( < < 2< ( < < < 2 9 . -.! *; ' * + , -.! ' * -.! ' * -.! ' * -.!& -.! ' * ' * / -.!& -.!$ ' * ( ) ' * & ( ) . = / ( 2< < < ( 22< < ( 222<( 2222( < 222( << 22( << < 2( < < < < -.! + , ' * -.! ' * ' * -.!& -.!$ ' * ( ) Sequential Logic 19 Sequential Logic 20
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