Upload
others
View
3
Download
0
Embed Size (px)
Citation preview
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-1Chap. 5 Flip-Flops and Related Devices
Chapter Outcomes (Objectives)
Construct and analyze the operation of a latch flip-flop made from NAND or NOR gates.
Describe the difference between synchronous and asynchronous systems. Describe the operation of edge-triggered flip-flops. Analyze and apply the various flip-flop timing parameters specified by the
manufacturers. Explain the major differences between parallel and serial data transfers. Draw the output timing waveforms of several types of flip-flops in response
to a set of input signals. Use state transition diagrams to describe counter operation. Use flip-flops in synchronization circuits. Connect shift registers as data transfer circuits. Employ flip-flops as frequency-division and counting circuits. Describe the typical characteristics of Schmitt triggers.
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-2Chap. 5 Flip-Flops and Related Devices
Chapter Outcomes (Objectives) – cont.
Apply two different types of one-shots in circuit design. Design a free-running oscillator using a 555 timer. Recognize and predict the effects of clock skew on synchronous circuits. Troubleshoot various types of flip-flop circuits. Create sequential circuits with PLDs using schematic entry. Write HDL code for latches. Use logic primitives, components, and libraries in HDL code. Build structural level circuits from components.
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-3Chap. 5 Flip-Flops and Related Devices
Introduction Combinational Circuit
The output levels at any instant of time are dependent on the levels present at the inputs at that time
» Any prior input-level conditions have no effect on the present outputs because combinational logic circuits have no memory
Most Digital Systems = Combinational circuits + Memory elements General digital system that combines combinational logic gates with memory
device : Fig. 5-1» The external outputs are a function of both its external inputs and the information stored
in its memory elements
The most important memory element = Flip-Flop F/F is made up of an assembly of logic gates : Feedback
» Even though a logic gate, by itself, has no storage capability, several can be connected together in ways that permit information to be stored(Refer to Fig. 5-7).
Output State of F/F : Fig. 5-2 Normal output (Q) : 0 or 1 1 = HIGH = Set Inverted output(Q) : 1 or 0 0 = LOW = Clear = Reset
F/F = Latch = Bistable multivibrator (Refer to Slide 5-39). F/F : Clock Edge SensitiveLatch : Level Sensitive
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-4
5-1 NAND Gate Latch NAND gate latch(or Latch)
Constructed from two NAND gates : Fig. 5-3
Setting the Latch Both cases Q ends up HIGH :
Fig. 5-4 Clearing the Latch
Both cases Q ends up LOW :Fig. 5-5
Simultaneous Setting and Clearing Set = Clear = 0
» Q = = 1 : Undesired condition Set = Clear = 1
» No change
NAND Latch Summary Fig. 5-6(a),(b)
Q
Q
SET
CLEAR
1
1
0
1
Q
Q
SET
CLEAR
1
1
1
0
Fig. 5-3 2 possible resting state when SET=RESET=1
Q
Q
SET
CLEAR1
Q
Q
SET
CLEAR1
1 0
1 0
0 11 0
1 1
0 0
Q Q
Q
SET
CLEAR
1 Q
Q
SET
CLEAR
1
1 01 1
0 0
1 0
1 0
0 1
Fig. 5-4 Pulsing SET input to 0
Fig. 5-5 Pulsing CLEAR input to 0
Set Clear Output
1 1 No change
0 1 Q=1
1 0 Q=0
0 0 Invalid
Fig. 5-3 참고Normal rest
Normally High Input
→ Fig. 5-3→ Fig. 5-4→ Fig. 5-5
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-5
Alternate Representations : Fig. 5-7 Ex. 5-1) Determine Q output in Fig. 5-8 Ex. 5-2) Switch debouncing circuit in Fig. 5-9
5-2 NOR gate Latch
Ex. 5-3) Determine Q output in Fig. 5-11 Ex. 5-4) What happen if the light beam is momentarily interrupted in Fig. 5-12
Q will remain HIGH and the alarm will remain ON even if phototransistor return to ON ( Set=0, Clear=0 : no change)
F/F State on Power-Up When power is on, not possible to predict the starting state of a F/F’s output Output depend on factors such as internal propagation delays, parasitic
capacitance, and external loading. To start of in a particular state, activate SET/CLEAR input at the start of circuit.
Q
Q
S
R
Q
Q
SET
CLEAR
Set Clear Output
1 1 No change
0 1 Q=1
1 0 Q=0
0 0 Invalid
Fig. 5-7 Alternate Representation0
0
0
1
Set Clear Output
0 0 No change
1 0 Q=1
0 1 Q=0
1 1 Invalid
Resting Input= 0 * Invalid
Q = = 0Q
Fig. 5-10 (a) NOR gate latch, (b) truth table, (c) simplified block symbol
* Inactive Stage(Resting )NAND latch : S=C=1NOR latch : S=C=0
Ex. 5-4SW1
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-6
5-3 Troubleshooting Case Study Ex. 5-5) Describe & analyze the circuit in Fig. 5-13 Ex. 5-6) What are the possible faults(refer to Tab. 5-1)
Possible faults(Switch position A에서 Fault : Q=1이여야 함)» Internal open at Z1-1 : 0이 입력되지 않음 SET=RESET=1» Component failure in NAND gate Z1» Internally shorted to ground at Z1-3, Z1-4, and Z2-2» Node Q externally shorted to ground
5-4 Digital Pulses Pulse
A signal switches from a normal inactive state to the opposite (active) state, then the signal returns to its inactive state.
Positive pulse Performs its intended function when it goes HIGH : Fig. 5-14(a)
Negative pulse Performs its intended function when it goes LOW : Fig. 5-14(b)
Rise time tr / Fall time tf The time it takes the voltage to change between 10% and 90% Refer to Fig. 5-14(a), (b)
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-7
0 1
1 0
1 0
0 1
0
Fig. 5-13 : Example 5-5
0
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-8
Fig. 5-13 : Example 5-6
0
1
1 0
0 1
0
0x
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-9
Leading edge The transition at the beginning of the pulse
Trailing edge The transition at the end of the pulse
Pulse width tw The time between the points when the leading and trailing edges are at 50%
Ex. 5-7) Draw a scaled drawing of the RD pulse. : Fig. 5-15
5-5 Clock Signals and Clocked F/Fs Async/Synchronous System
Asynchronous System : The output of logic circuits can change state any time Synchronous System : The exact times at which any output can change states are
determined by a signal commonly called the clock» Synchronous circuits are easier to design and troubleshoot because the circuit outputs can
change only at specific instants of time. Clock Signal = rectangular pulse train or square wave(Fig. 5-16)
Positive-Going Transition(PGT), Negative-Going Transition(NGT) The synchronizing action of the clock signals is accomplished through the use of
clocked flip-flops
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-10
0
1
1 0
0 1
0
0
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-11
Clocked Flip-Flops : Fig. 5-17 1. Clocked FFs have a clock input(CLK, CK, or CP)
» In most clocked FFs, the CLK input is edge-triggered : NGT or PGT 2. Clocked FFs have one or more control inputs
» The control inputs will have no effect on Q until the active clock transition occurs(=Synchronous control inputs)
3. In summary, » The control inputs control the WHAT : Output state(DATA 0 or 1) will go to» The clock input determines the WHEN : actually triggers the change
Setup and Hold Times : Fig. 5-18 Setup time(5 - 50 ns)
» minimum time that control input must remain at constant value before the transition.
Hold time(0 - 10 ns)» minimum time that control input must not change
after the positive transition
ts thPositive clock
transition
Control Input
Clock Input
50 %Fig. 5-18
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-12
4 possible results : Fig. 5-19 a. the output does not respond at all to the HIGH : not change b. the output tries to go HIGH but falls back LOW : meta-stable(settle LOW) c. the output begins to go HIGH, waivers indecisively in the invalid region, and
then responds appropriately by settling HIGH : meta-stable(settle HIGH) d. the output responds as intended by going HIGH
5-6 Clocked S-C F/F Clocked S-C F/F
Waveform analysis in Fig. 5-20 : positive going edge transition
Set-Clear F/F
Fig. 5-19
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-13
The clock input = Trigger input Negative-going edge transition : Fig. 5-21
Internal circuitry of the edge-triggered S-C F/F Edge-triggered S-C F/F : Fig. 5-22
» 1. NAND Latch» 2. Pulse-steering : NAND gate에 모두 1이 입력되면 SET/CLEAR= 0이 되고 Q=1/0» 3. Edge-detector : Fig. 5-23
5-7 Clocked J-K F/F Clocked J-K F/F : Fig. 5-24
Toggle Mode : J = K = 1(S-C F/F에서는 Invalid) Negative-going edge transition : Fig. 5-25
Internal circuitry of the edge-triggered J-K F/F : Fig. 5-26 Q=0, = 1인 상태에서 J=K=1이 입력되면
» NAND 1 의 입력은 모두 1이고 따라서 출력은 0이 되고 Q =1로 Toggle» NAND 2의 입력은 1, 1, 0이고 따라서 출력은 1이 되고 =0으로 Toggle
5-8 Clocked D F/F Clocked D F/F : Fig. 5-27 Implementation of the D F/F : Fig. 5-28 Parallel Data Transfer : Fig. 5-29
Q
Q
Jack-King F/F
Data F/F
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-14
PGT NGTFig. 5-23
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-15
Fig. 5-22 2-5 ns
1
0
1
1
1
0
0
1
1
0
Fig. 5-22
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-16
1
1
1
1
1
0
0
0
x
11
1
0 → 1
1 → 0
Fig. 5-26
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-17
5-9 D Latch : Transparent Latch D Latch : Fig. 5-30
Edge detector is not used : EN(Enable) input 사용
Ex. 5-8) Determine waveform Q in Fig. 5-31
5-10 Asynchronous Inputs Asynchronous Inputs(= override inputs)
Used to set the FF to the 1 or clear the FF to the 0 state at any time, regardless of the conditions at the other inputs
Clocked J-K F/F with asynchronous inputs : Fig. 5-32 Designations for Asynchronous Inputs
PRE(Preset), CLR(Clear) SD(Direct SET), RD(Direct RESET)
Ex. 5-9) Determine the Q output in Fig. 5-33
D Latch is not Edge Triggered,(Level Triggered)
Use the overbar to indicate the active LOW
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-18
1
1
1
1
1
0
0
1
1
0
Fig. 5-30
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-19
Fig. 5-33
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-20
5-11 IEEE/ANSI Symbols : deleted in 11th Ed. A single edge-triggered J-K flip-flop : Fig. 5-33(a) 74LS112 dual edge-triggered J-K flip-flop : Fig. 5-33(b) A single edge-triggered D flip-flop : Fig. 5-34(a) 74HC175 quad D flip-flop common clock and clear : Fig. 5-34(b)
5-11 F/F Timing Considerations Setup/Hold Time : slide # 5-11 Propagation Delays : Fig. 5-34 (Typ. MAX Few - 100 ns)
tPLH : Delay going from LOW to HIGH, tPHL : HIGH to LOW 50%
CLK
Q
tPHLtPLH
Fig. 5-34
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-21
Maximum Clock Frequency : fMAX(Typ. Max 20 to 35 MHz) Clock Pulse HIGH and LOW Times : Fig. 5-35(a)
The minimum time duration that the CLK must remain LOW before it goes HIGH tW(L), and HIGH before it returns LOW tW(H)
Asynchronous Active Pulse Width : Fig. 5-35(b) The minimum time duration that a PRESET or CLEAR input must be kept in its
active state in order to reliably set or clear the FF tW(L) for active-LOW asynchronous inputs
Clock Transition Times Manufacturer usually do not list a maximum transition time requirement Generally less than 50 ns for TTL, and less than 200 ns for CMOS
* removed in 12th ed. from here Actual ICs : Tab. 5-2(TTL : 7474, 74LS112, CMOS : 74C74, 74HC112)
CLK
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-22
* Actual ICs : Tab. 5-2
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-23
5-12 Potential Timing Problem in FF Circuits Potential Timing Problem : Fig. 5-36
J2 input of Q2 will be changing as it receives the same NGT( ). This could lead to an unpredictable response at Q2
해결책 : Q1 tPHL must be greater than Q2’s hold time requirement Hold time이 적다 = CLK 후에도 control input을 계속 유지시킬 필요 없음
Fortunately, all modern edge-triggered FFs have hold time requirements that are 5 ns or less; most have tH = 0(clock transition과 동시에 control input이 바뀌어도상관이 없다)
For these FFs, situation like that in Fig. 5-36 will not be a problem 가정 : FF’s hold time requirement is short enough to respond reliably
The FF output will go to a state determined by the logic levels present at its synchronous control inputs just prior to the active clock transition
» if we apply this rule to Fig. 5-35, J2 = 1, K2 = 0
Ex. 5-10) Determine the Q output in Fig. 5-37 Clock transition의 이전 입력 값을 갖는다
CLK 입력과 동시에 J2에는 1(Q1) 이 유지되어야 하지만 J1 = K1 = 1에 따라 Toggle되어 CLK 입력과 동시에 곧바로 J2 = 0이 되어 J2의 Hold time을 만족 시킬 수 없다
- 현재 그림은 정상 동작 -CLK 입력 전에 Q1 = 1 이며, CLK 입력과
동시에 J2 = 1이고 따라서 Q2 = 1
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-24
Q1 tPHL must be greater than Q2’s hold time requirement
5-13 FF Applications Unclocked FFs
Switch debouncing(Ex. 5-2), Event storage(Ex. 5-4) Clocked FFs
We will briefly introduce the more common applications in the following sections
Fig. 5-36
Fig. 5-36
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-25
5-14 FF Synchronization Asynchronous signal input
A human operator’s actuating input switch at some random time A FF can be used to synchronize the effect of an asynchronous input Partial Pulse : Fig. 5-38
» The operator actuates or releases the switch are essentially random, This can produce partial clock pulses at output X
Ex. 5-11) A method for preventing the appearance of partial pulses : Fig. 5-39 An edge-triggered D F/F is used to synchronize the enabling of the AND gate to the
NGTs of the clock.
5-15 Detecting an Input Sequence Detecting an Input Sequence : Fig. 5-40
An output is to be activated only when the inputs are activated in a certain sequence » HIGH output only if A goes HIGH and then B goes HIGH some time later
Ex. 5-12) A method for determining the direction of rotation : Fig. 5-41 Use a D F/F to determine which direction the shaft is rotating The D F/F detects this sequence
FFSynchronization
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-26
Fig. 5-39
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-27
5-16 Detecting a Transition or “Event” The event detector for any given input signal : Fig. 5-42
5-17 Data Storage and Transfer Register
A data(binary number, BCD number,..) are generally stored in groups of FFs called registers
Fig. 5-41
D
CLK
Q
Fig. 5-42
D
Q
1
0
1
1
0 0
1 0
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-28
Data Transfer The data transfer involves the transfer of data from one FF or register to another The logic value stored in FF A is transferred to FF B upon the NGT of the
TRANSFER pulse Synchronous data transfer : Fig. 5-43 Asynchronous data transfer : Fig. 5-44 next slide
» Transfer Enable = 0 : PRE=CLR=1, 통상적인 FF으로 동작
» Transfer Enable = 1 : A=1 이면 B=1, A=0 이면 B=0 Parallel Data Transfer : Fig. 5-45
The contents of X1, X2, and X3 are transferred simultaneously into Y1, Y2, and Y3(Upon application of the PGT of the TRANSFER pulse)
Parallel transfer does not change the contents of source register 5-18 Serial Data Transfer : Shift Registers
Shift Register : Fig. 5-46 next slide A group of FFs arranged so that the binary numbers stored in the FFs are shifted
from one FF to the next for every clock pulse Hold Time Requirement
In shift register, the FFs must have a very small or zero hold time requirement
Sec. 5-12 Timing Problem과 동일
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-29
1 0
0 1
1 0
0 1
Enable 1 1
1 0
1 1
1 1
0 1
0 1
1 0
1 0
0 1
Disable 0
1
1
Asynchronous data transfer : Fig. 5-44
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-30
Shift Register : Fig. 5-46
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-31
Serial Transfer between Registers : Fig. 5-47 Ex. 5-13) The contents of each FF after sixth shift pulse in Fig. 5-47 ?
The registers are filled up with zeros(zero inserted) Shift-Left Operation
역으로 배치(Shift 방향에 따른 장단점은 없으며, 응용 특성에 따라 선택) Parallel versus Serial Transfer
Parallel transfer : Speed» All of the information is transferred simultaneously upon the occurrence of a single
transfer command pulse Serial transfer : economy and simplicity
» The complete transfer of N bits requires N clock pulses
5-19 Frequency Division and Counting 3 bit binary counter : Fig. 5-48
The FFs change state(toggle) whenever the pulses are applied Each FF divides the frequency of its input by 2
Counting Operation : Fig. 5-49(State Table) State Transition Diagram : Fig. 5-50
Graphical representation of state table» Circle(state), Line(transition), I/O(input/output)
여러 개의 Transmission wire 필요
N 개 FF은 1/2N 까지 분주 가능
01 111/0
clock
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-32
MOD Number MOD Number indicates the number of states
» N Flip-flops = 2N different state, and count up to 2N - 1
Ex. 5-14) What will be the state after 13 pulses(현재는 101) in Fig. 5-48 Ex. 5-15) 6 Flip-flop arrangement of Fig. 5-48
5-20 Application of F/Fs with Timing Constraints Counting up while it is rotating clockwise and then counting down when it is
rotating counter-clockwise according to the physical position of the shaft Problems using a simple sequence detector to create an absolute shaft
encoder : Fig. 5-51 t1 : the shaft encoder reversed its rotation, but did not count up because direction
changes after clock Block diagram of an absolute shaft position system : Fig. 5-52
Edge detector in Fig. 5-42 : Enable control for Up/Down Counter Direction decoder : Direction control for Up/Down Counter
Defining the direction decoder inputs [ DA, QA, DB, QB ] : Fig. 5-53
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-33
Fig. 5-51
Down 1 Up 0
Given
Up 4 not 2
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-34
DA
QA
DB
QB
DA
QA
Fig. 5-52
Fig. 5-53
Given
14 t73 t41322442231341
0 0
0 10 0 1 0
Fig. 5-54
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-35
Direction decoder truth table : Fig. 5-54 1. No change : disable [(0), (3), (12), (15)] : DA = QA and DB = QB
2. Both change : impossible [(5), (6), (9), (10)] : DA = not QA and DB = not QB
3. Direction 1(CW) : (2) = t4, (4) = t5/t1, (11) = t3, (13) = t2 4. Direction 0(CCW) : (1) = t7, (7)=t8, (8)=t10/t6, (14)=t9
K-map, minimized Boolean equation, and logic circuit for the direction decoder : Fig. 5-55
Timing Issues (Edge detect pulse width) : Fig. 5-56 (a) up to one clock period wide : Fig. 5-56(a) (b) very narrow and very close to the next PGT of clock : Fig. 5-56(b)
Fig. 5-56
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-36
Improved quadrature encoder circuit : Fig. 5-57 Adding synchronizing and data transfer FFs : Fig. 5-57(a) Reliable operation depicted in a timing diagram : Fig. 5-57(b)
A QSYNCH QXFER QEDGE DET EDGE-PULSE
Setup time violation
0 1
0 0
1 1
0 1
Fig. 5-57
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-37
5-21 Microcomputer Application Transfer binary data of internal register to external register X : Fig. 5-58
1) Place the binary number onto its data output lines 2) Place the proper address code on its address output lines 3) Generate the clock pulse CP(Write signal)
Ex. 5-16) a) What is address decode logic ? : 11111110b) address code = 11111111일 때 X = ? : X will not change(그대로 0110)
5-22 Schmitt-Trigger Devices Schmitt-Trigger Inverter : Fig. 5-59
Schmitt-trigger type of input is designed to accept slow-change signals and produce an oscillation-free output 표시 : Fig. 5-59(b)
STATE
1
0VT- VT+ VOLT
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-38
5-23 One-Shot (=Monostable Multivibrator) One-Shot : Fig. 5-60(a)
1) Once triggered by trigger input(T), Q = Opposite state 2) “1” remains for a fixed period of time tp(Determined by tp = 0.69RC) 3) After a time tp, the OS outputs return to their resting state(“0”) stable
Non-retriggerable One-Shot : Fig. 5-60(b)
Retriggerable One-Shot : Fig. 5-61
Actual Devices : Fig. 5-62 74121/221 :
» Single/Dual non-retriggerable one-shot
74122/123 : » Single/Dual retriggerable one-shot
보통 “0” 에서 “1”
One-Shot
tp
Quasi-stable State
Vcc* RINT : optionalFor output pulse width stability
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-39
5-24 Clock Generator Circuits Multivibrator
Bi-stable multivibrator : Flip-flops have two stable state Mono-stable multivibrator : One-shots have one stable state(“0”) Astable = Free-running multivibrator : no stable state
Schmitt-Trigger Oscillator : Fig. 5-63 555 Timer Used as an Astable Multivibrator : Fig. 5-64 Ex. 5-17) Calculate the frequency and the duty cycle of the 555 timer Ex. 5-18) Calculate RA and RB (less than 50%) Crystal-Controlled Clock Generators
Output frequency = Crystal’s resonant frequency Clock Generator Circuit : 10 kHz – 80 MHz
» Using TTL inverter : R = 300 - 1500 Ohm, 최대 20 MHz» Using CMOS inverter : R = 100 K Ohm, 최대 10 MHz
5-25 Troubleshooting FF circuits Open Inputs : Ex. 5-19 ( Fig. 5-65 )
K0 가 Open 되어 J0 = K0 = 1 로 Toggle 됨(TTL open = 1)
“1” = Quasi-Stable State
* R depends on the type of crystal used and its frequency
(Graph로 제공됨)
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-40
Shorted Outputs : Ex. 5-20 ( Fig. 5-66 ) D(Z2-2)에 0이 입력되며, 따라서 Q(Z2-5) = 0 이어야 정상
Possible Circuit Faults» Z2-5 or Z1-4 is internally shorted to Vcc» Z2-5 or Z1-4 is externally shorted to Vcc» Z2-4 is internally or externally shorted to GROUND(Preset : Q = 1) » Z2 internal failure
In case of Z2 internal failure» 1) Check Z2’s Vcc and GROUND : O.K.» 2) Unsolder Z2, and Check it’s amplitude, frequency, pulse width, and transition times
(by using oscilloscope) : O.K.» 3) Replace it with new one, but the new chip behaves in exactly the same way» 4) Finally he detects a solder bridge between pins 6 and 7 of Z2» 5) Remove the solder bridge and then the circuit functions correctly
Explain how this fault produced the operation observed» The Q and outputs are internally cross-coupled so that the level
on one will affect the other» A constant LOW at would keep a LOW at one input of NAND
gate so that Q would have to stay HIGH regardless of the J or K
현재는Q = 1
Rule out
Q
Q
SET
CLEAR
Q
Q
“1”
“0”
Both outputs should be checked for faults, even those that are not connected to other devices
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-41
0 11
1
110
1Solder bridge
0
Fig. 5-66
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-42
Clock Skew A clock signal arrives at the CLK inputs of different FFs at different
times(propagation delay가 원인) The skew can cause a FF to go to a wrong state : Fig. 5-67
» Q2 는 CLOCK 1에서 Q1=0 이 입력되어 계속 Q2=0 이 되어야 함(그러나 그림에서는CLOCK 2 이후에 Q2=1이 되어 오동작)
해결 방법
» Problems caused by clock skew can be eliminated by equalizing the delays(the active transition arrives at each FF at approximately the same time)
각각의 Clock Input에서의Propagation Delay를 계산
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-43
1
Fig. 5-67
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-44
5-26. Sequential Circuits in PLDs Using Schematic Entry * Altera’s Quartus II development system software allows the designer the
option of describing the desired circuit using schematics. Quartus provides component libraries that contain flip-flop and latch devices
that can be used to create the schematics. These libraries are named primitives(dff, jkff..), maxplus2(macrofunction),
and megafunction(LPM=Library of Parameterized Modules) The megafunction library contains various high-level modules that can be
used to create logic designs(LPM_FF, LPM_LATCH, and LPM_SHIFTREG..)
Exam. 5-21 : Compare the operation of a level-enabled D latch and edge-triggered D flip-flop D latch and D flip-flop Quartus schematic : Fig. 5-68 D latch and D flip-flop simulation report : Fig. 5-69
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-45
Exam. 5-22: Construct a register that consists of four D flip-flop using the D F/F primitive. Input signals for Exam 5-22 : Fig. 5-70 Graphic connection of D F/F primitives to form a 4 bit register : Fig. 5-71 Schematic using a block symbol for a 4 bit D F/F register: Fig. 5-72 Functional simulation results for Exam 5-22 : Fig. 5-73
0101
0101
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-46
5-27. Sequential Circuits Using HDL Three input/output modes : Fig. 5-74 Behavioral description of an SR latch : Fig. 5-75
Exam. 5-23 Describe S-R NAND latch (Fig. 5-6) NAND latch using AHDL : Fig. 5-76 NAND latch using VHDL : Fig. 5-77
D latch : Fig. 5-30 AHDL : variable q LATCH primitive (connection: q.ena=enable, q.d=din)
» Tab. 5-2 Altera primitive port identifiers VHDL : description (PROCESS)
5-28. Edge-Triggered Devices JK FF using AHDL : Fig. 5-78, Fig. 5-79
standard JK FF is a fundamental part of sequential logic circuits called a logic primitive.- Tab. 5-2
use logic primitives defined in library files to describe FF operation. JK FF using VHDL
1. Library component : Fig. 5-80 and Fig. 5-81 next slide 2. explicitly describe logic circuit operation in the code : Fig. 5-82
1. Input only : D2. Output only : Q3. Output with feedback : Q
VARIABLEff1 :JKFF;
Digital Systems© Korea Univ.. of Tech. & Edu.
Dept. of Info. & Comm.Chap. 5 Flip-Flops and Related Devices
5-47
Library Components ( VHDL only )
1. Graphic representation using a component : Fig. 5-80(a)» Used again and again (exactly what IC manufacturers do)» VHDL component declaration : Fig. 5-80(b)
2. JK FF component from the library in VHDL is used to create a circuit equivalent to the graphic design of Fig. 5-80(a) : Fig. 5-81
Library define : ieee std logic and altera components ( VHDL only ) Placing the following line at the top of your design file ( refer to Fig. 5-81 ).
Simulation of the JK FF : Fig. 5-83 Verifying Fig. 5-79 (AHDL) and Fig. 5-82 (VHDL).
5-29. HDL Circuits with Multiple Components MOD-8 ripple counter / 3 bits Binary Counter : Fig. 5-84 ( = Fig. 5-48 )
ADHL Ripple-up Counter : Fig. 5-85 VHDL Ripple-up Counter : Fig. 5-86 No library is used, new neg_jk component define,
describe explicitly
LIBRARY ieee; define std_logicUSE ieee.std_logic_1164.allLIBRARY altera; standard componentUSE altera.maxplus2.all