Concordia Input Combinational Logic University Output Excitation Vectors

Concordia Input Combinational Logic University Output Excitation Vectors

Concordia Input Combinational Logic University Output Excitation Vectors States Memory 1 Concordia University RS Latch Q+ = S + R Q R S Q R 0 0 1 1

S 0 1 0 1 Qt+1 qt 1 0 Q Two Problems: R=S= 1 Not allowed, Data is transparent 2 The D Latch Concordia University RS Flip Flop C Q D 0 1

Q D Q+ 0 1 Q+ = D Q D D CLK D Latch C Q Problem: Level sensitive 3 JK Latch : Universal, Level sensitive, Concordia University Timing Constraints due to feed back. JK Flip Flop:

J K S Q Q R Q t 1 J Q t K Q t 4 Master Slave Flip Flop Concordia University Edge sensitive,Set up and Hold time Master and Slave Flip Flop : A D Flip Flop with a falling-edge trigger. Master D Slave Q D D Latch

C C Q D Q D Latch C Q D C Q 5 Master Slave Flip Flop Edge sensitive,-Falling Edge Concordia Set Up and Hold Time constraints University Path to setup data Master D

Slave Q D D Latch C C Q D Q D Latch C Q Path to hold data D C 6 Q Edge triggered Flip Flop: Concordia

University Set up and Hold time Constraints S Q Clk ` Q R 7 Edge Triggered, D Flip Flop, With Reset D Q D FlipFlop NAND1 Concordia University Reset C D Q

Q 0 X X 0 1 1 0 0 1 1 1 1 0 clk reset NAND2 S Q

NAND5 clk NAND3 D reset R NAND6 NAND4 Active Low 8 Concordia Edge Triggered, D Flip Flop University When CLK=0 D Q D FlipFlop NAND1 clk reset 0

NAND2 S 1 Q NAND5 Clk=0 0 D reset NAND3 R 1 NAND6 NAND4 Active Low 9 When CLK changes from 0 to 1 Case1, D=0: tsetup= t4, Concordia University thold=t3

NAND1 Path for hold NAND2 S Q NAND5 clk NAND3 D reset R NAND6 Path for set up NAND4 10 When CLK changes from 0 to 1 Case2, D=1 tsetup=t4 + t1 Concordia University thold= t2

Path to set up Path to hold NAND1 NAND2 S Q NAND5 clk NAND3 D reset R NAND6 NAND4 11 When CLK changes from 0 to 1 Case1, D=0: tsetup= t4, thold=t3 Case2, D=1 thold= t2 tsetup=t4 + t1

Concordia University NAND1 NAND2 S Q NAND5 clk NAND3 D reset R NAND6 NAND4 12 D Flip Flop Concordia University 13 JK Flip Flop with a rising-edge :

Concordia University Q J JK FF K Q C J C K J Q K Q Q+ = JQ + KQ 14 T-Flip Flop Q J Q

J=K=T C T University Q+ = JQ + KQ JK FF K Concordia Q+ =TQ + T Q J Q K T=1 Q+ = Q T=0 Q+ = Q CLK T CLK Q 15

T-Flip Flop D Concordia University Q Q+ = JQ + KQ CLK J=K=T Q+ =TQ + T Q T D Q T=1 Q+ = Q T=0 Q+ = Q CLK T CLK Q 16

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