1 EENG 2710 Chapter 6 Introduction to Sequential Logic

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1

EENG 2710 Chapter 6

Introduction to Sequential Logic

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Chapter 6 Homework

Work on your project

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Sequential Circuit

• A digital circuit whose output depends not only on the present combination of input, but also on the history of the circuit.

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Sequential Circuit Elements

• Two basic types:– Latch– Flip-flop

• The difference is the condition under which the stored bit changes.

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SR Latch• The LATCH is a sequential circuit with two

inputs (SET and RESET).• SET – an input that makes the device store a

logic 1.• RESET – an input that makes the device store a

logic 0.

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SR Latch

• Two complementary outputs

• Outputs are always in opposite logic states.

). , ( QQ

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Active HIGH or LOW Inputs

• Latches can have either active HIGH or active LOW inputs.

• The output of the LATCH, regardless of the input active level, is still defined as:

1 0, :RESET

0 , 1 :SET

QQ

QQ

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Active HIGH or LOW Inputs

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NAND Latch Function Table

RESET1001

1

1

0

1

1

No Change1

SET00

Forbidden10

Function1 t1t QQRS

tt QQ

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NAND Latch Reset to Set Transition

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NAND Latch Reset to Set Transition

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NAND Latch Set to Reset Transition

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NAND Latch Reset to Set Transition

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NOR Latch Function Table

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NOR Latch Reset to Set Transition

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NOR Latch Reset to Set Transition

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NOR Latch Set to Reset Transition

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NOR Latch Set to Reset Transition

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Switch Bounce

• The condition where the closure of a switch contact results in a mechanical bounce before the final contact is made.

• In logic circuits, switch bounce causes several pulses when a switch is closed.– Can cause circuit to behave unpredictably.

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Switch Bounce

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Switch Debounce Circuit

1 1, RS

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Gated SR Latch

• The time when a latch is allowed to change state is regulated.• Change of state is regulated by a control signal called ENABLE.• Circuit is a NAND latch controlled by steering gates.

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Latch ENABLE Input

EN S R Qt+1 Function

1 0 0 Qt No change

1 0 1 0 1 Reset

1 1 0 1 0 Set

1 1 1 1 1 Forbidden

0 X X Qt Inhibited

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Gated D or Transparent Latch

• A latch whose output follows its data input when its ENABLE input is active.

• When ENABLE is inactive, the latch stores the data that was present when ENABLE was last active.

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Gated D Latch Function Table

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Flip-Flop Definition

• A gated latch with a clock input.• The sequential circuit output changes when its CLOCK

input detects an edge.• Edge-sensitive instead of level-sensitive.• Positive edge: The transition from logic ‘0’ to logic ‘1’• Negative edge: The transition from logic ‘1’ to logic ‘0’• Symbol is a triangle on the CLK (clock) input of a flip-

flop.

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Positive Edge-Triggered D Flip-Flop

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Edge Detector

• A circuit that converts that active-edge of a CLOCK input into a brief active-level pulse.

• Created using gate propagation delays.• Can be positive or negative edge.• The inverter in a below has 3 to 10ns propagation delay

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Operation of Positive Edge D Flip-flop

VHDL – D Latch

d_latch_vhdl.vhd

-- D latch with active-HIGH level-sensitive enable

ENTITY d_latch_vhdl IS

PORT(

d, ena : IN BIT;

q : OUT BIT);

END d_latch_vhdl;

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VHDL – D Latch

ARCHITECTURE a OF d_latch_vhdl IS

BEGIN

PROCESS ( d, ena)

BEGIN

IF ( ena = ‘1’) THEN

q <= d;

END IF;

END PROCESS;

END a; 31

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JK Flip-Flop

• Two inputs with no illegal input states.• With J and K both HIGH, the flip-flop toggles between

opposite logic states with each applied clock pulse.

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Negative Edge-Triggered JK Flip-Flop

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Toggle Action

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Toggle Applications• Used to divide an input frequency in half.

• By cascading toggling flip-flops, a counter is created.

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Synchronous And Asynchronous Circuits

• Synchronous circuits have sequential elements whose outputs change at the same time.

• Asynchronous circuits have sequential elements whose outputs change at different times.

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Synchronous and Asynchronous Inputs

• Synchronous inputs of a flip-flop only affect the output on the active clock edge.

• Asynchronous inputs of a flip-flop change the output immediately.

• Asynchronous inputs override synchronous inputs.

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3-Bit Synchronous Circuits

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Flip-Flop Asynchronous Inputs

• Preset:– An asynchronous set function, usually

designated as

• Clear:– An asynchronous reset function, usually

designated as

• Both Preset and Clear usually have LOW input active levels.

PRE

CLR

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Flip-Flop Asynchronous Inputs

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3-Bit Synchronous Circuits With Asynchronous Reset

• An asynchronous input used to set a sequential circuit to a known initial state.

• Usually a RESET tied to the inputs of all flip-flops.• When activated, the output of the sequential circuit goes LOW.

CLR

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Disadvantages of Asynchronous Circuits

• Difficult to analyze operations.

• Intermediate states that are not part of the desired design may be generated.

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JK Flip-Flop Asynchronous Inputs Function Table

CLR

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Unused Preset and Clear Inputs

• Disable by connecting to a logic HIGH (for active-LOW inputs).

• In Quartus II the asynchronous inputs of all flip-flop primitives are set to a default level of HIGH.

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T (Toggle) Flip-Flop

• Output toggles on each applied clock pulse when a synchronous input is active.

• Synchronous input is designated as ‘T’.

T Flip-Flop Function Table

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InhibitedQtX↓

InhibitedQtX1

InhibitedQtX0

Toggle1↑

No change0↑

FunctionQt+1TCLK

InhibitedQtX↓

InhibitedQtX1

InhibitedQtX0

Toggle1↑

No change0↑

FunctionQt+1TCLK

tQ

tQ

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D Flip-Flop Configured for Toggle Function

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