... K-Map, design the BCD-to-seven-segment decoder using the minimum number of gates Trang 16Design a combinational circuit that converts a four bit Gray code to four bit binary number Trang 17Design ... Trang 1Problems (Mano) Trang 2°Obtain the simplified Boolean expressions for outputs F and G in terms of the input variables in (A,B,C and D) Trang 33Trang 6Design a combinational circuit ... bit Gray code to four bit binary number Trang 18Design a combinational circuit that converts a four bit Gray code to four bit binary number Trang 19Design a combinational circuit that converts a
Ngày tải lên: 12/02/2020, 13:52
... Trang 1717 Draw the logic diagram of a two-to-four-line decoder using a NOR gates only including and enable input.Trang 18Problem (Mano) Using a decoder and external gates, design the combinational ... defined by the following three Boolean functions. Trang 1919 combinational circuit defined by the following three Boolean functions.Trang 20Problem Using a decoder and external gates, design the ... external gates, design the combinational circuit defined by the following three Boolean functions. Trang 2121 combinational circuit defined by the following three Boolean functions.Trang 22Problem
Ngày tải lên: 12/02/2020, 22:25
Digital logic testing and simulation phần 1 pdf
... contemporary EDA tools, one logic designercan create complex digital designs that formerly required a team of a half dozenlogic designers or more These tools place logic design capability into the ... past Logic diagrams are used by techni-cians and field engineers to debug faulty circuits as well as by the original designer dia-or another designer who must modify dia-or debug a logic design ... resourcesAllocate Behavioraldesign designRTL designLogic Physicaldesign Mfg. Time Too late Too little Trang 328 INTRODUCTIONA behavioral description specifies what a design must do There is usually
Ngày tải lên: 09/08/2014, 16:20
hệ thống số trần ngọc thịnh lec04 ds1 digital logic design 1 flip flop sinhvienzone com
... Trang 1TP.HCM 2007 dce Digital Logic Design 1 FLIP-FLOP 2009 dce Introduction • So far we have seen Combinational Logic – The output(s) depends only on the current ... sequential circuit either directly or by deriving state variables from them 2009 dce General Digital System dce2009 Synchronous and Asynchronous Sequential Logic • Synchronous – The timing of ... been replaced by an enable line. • The device is NOT edge triggered • The output follows the input only when EN is high. 2009 dce • D latch: (a) structure; (b) function table; (c) logic symbol
Ngày tải lên: 30/01/2020, 21:11
Lecture Digital logic design - Lecture 11: Combinational design procedure
... Trang 1Lecture 11Combinational Design Procedure Trang 2w ° Design digital circuit from specification ° Digital inputs and outputs known • Need to determine logic that can transform data ° Start ... Trang 3Design Procedure (Mano) Design a circuit from a specification. 1 Determine number of required inputs and outputs. 2 Derive truth table 3 Obtain simplified Boolean functions 4 Draw logic ... minimal. ° Have seen five ways to represent a function: Trang 5Combinational logic design° Use multiple representations of logic functions ° Use graphical representation to assist in simplification
Ngày tải lên: 12/02/2020, 14:29
Lecture Digital logic design - Lecture 25: Shift registers
... Trang 27 Design a serial adder using a sequential-logic procedure Trang 28 Design a serial adder using a sequential-logic procedure Trang 29 Design a serial adder using a sequential-logic procedure ... Shift register can be arbitrary length ° FA can be built from combin logic Trang 26 Design a serial adder using a sequential-logic procedureTwo shift registers are required to store the binary ... required to store the binary numbers to be added serially serial outputs from the registers are designated by variables x and y Two inputs, x and y, that provide a pair of significant bits, an output
Ngày tải lên: 12/02/2020, 15:09
Lecture Digital logic design - Lecture 5: More boolean algebra
... AB+AC+B = B+AC Boolean Algebra and Logic Simplification Trang 23Simplification Using Boolean Algebra.Gate Network for Example 1: ABAB Boolean Algebra and Logic Simplification Trang 24Simplification ... 24Simplification Using Boolean Algebra.Gate Network for Example 1: B+AC C B+AC ACA B Boolean Algebra and Logic Simplification Trang 25Simplification Using Boolean Algebra.Gate Network for Example 1: Trang ... Algebra.Example 3: Using Boolean algebra techniques, simplify the following expression: Boolean Algebra and Logic Simplification ABC + ABC + ABC + ABC + ABC + ABC ABC + ABC + ABC + ABC + ABC + ABC BC(A +
Ngày tải lên: 12/02/2020, 15:12
Lecture Digital logic design - Lecture 6: More logic functions: NAND, NOR, XOR and XNOR
... Converting between sum-of-products and NANDs ° Positive and negative logic • We use primarily positive logic in this course. Trang 3Logic functions of Nvariables ° Each truth table represents one ... 21Combinational Logic Using Universal Gates Trang 22Universality of NAND and NOR gatesTrang 24Exa mpl eTrang 27Alternate Logic-Gate RepresentationsStandard and alternate symbols for various logic gates ... INVERTER, the operation symbol is not changed) Trang 28Positive Logic and Negative LogicWe will be emphasizing primarily on positive logic in this course Trang 29Axioms and Graphical representation
Ngày tải lên: 12/02/2020, 15:41
Lecture Digital logic design - Lecture 2: More number systems/complements
... Trang 1Digital Logic DesignLecture 2 More Number Systems/Complements Trang 2w ° Hexadecimal numbers • Related ... binary bits °Was used in early computing, but was replaced by hexadecimal Trang 11Decimal to Octal Conversion:The Division: [359] 10 = [ ? ] 8 By using the division system: 08 5 58 44 448 Trang 12Binary ... can be use to add (and subtract) binary numbers. ° Digital electronics requires frequent addition and subtraction of numbers You know how to design an adder, but what about a subtracter? ° A
Ngày tải lên: 12/02/2020, 15:41
Lecture Digital logic design - Lecture 4: Boolean algebra
... Algebra, Logic and Gates° Logical operators operate on binary values and binary variables. ° Basic logical operators are the logic functions AND, OR and NOT. ° Logic gates implement logic functions. ... the basic logic operations: 1 1 1 0 0 1 0 1 0 0 0 0 Z = X·Y Y Trang 15° Using Switches• Inputs: - logic 1 is switch closed - logic 0 is switch open • Outputs: - logic 1 is light on - logic 0 ... CMOS gate circuits, the foundation of current digital logic circuits Logic Function Implementation – cont’d BA D C A (B C + D) = A B C + A D Trang 17Digital Systems° Analysis problem: • Determine
Ngày tải lên: 12/02/2020, 15:51
Lecture Digital logic design - Lecture 31: PLAs and Arithmetic Logic Unit (ALU)
... Trang 1Lecture 31 PLAs and Arithmetic Logic Unit (ALU) Trang 2Programmable Logic Array° A ROM is potentially inefficient because it uses a decoder, which ... and Moore machines to implement combinational logic ° In normal use ROMs are read-only • They are only read, not written ° ROMs are often used by computers to store critical information • Unlike ... often are used in the control path ° Build a data and control path Trang 10Arithmetic Logic Unit° Arithmetic logic unit functions • Two multi-bit data inputs • Function indicates action (e.g
Ngày tải lên: 12/02/2020, 19:02
Lecture Digital logic design - Lecture 10: Circuit analysis procedure
... information-processing operation fully specified logically by a set of Boolean functions Trang 11Sequential circuitselements (binary cells) in addition to logic gates. ° Their outputs are a function ... input to cause change at output • min delay – typical/nominal delay – max delay • careful designers design for both worst case and best case ° Rise time — time for output to transition from ... ° Because of circuit delays, the transient behavior of a combinational logic circuit may differ from what is predicted by a steady-state analysis. ° In particular a circuit’s output may produce
Ngày tải lên: 12/02/2020, 20:23
Lecture Digital logic design - Lecture 20: Sequential circuits: Latches
... Flip-Flops etc ° A Sequential Circuit can be defined as circuit having sequential logic Sequential logic is a type of a logic circuit whose output depends not only on current inputs but also Trang ... outside logic signal inputs to the circuit Typically, the clock is not consider part of the signal inputs of the circuit. ° Outputs – The logic signal outputs. ° Present State – the logic value ... Steering Gates ° The flow of logic can be controlled with a logic Trang 26An SR latch with a control input° Here is an SR latch with a control input C ° Notice the hierarchical design! • The dotted
Ngày tải lên: 12/02/2020, 20:43
Lecture Digital logic design - Lecture 21: Sequential circuits: Flip flops
... ° More difficult to design, design tools generally have been synchronous only, but asynchronous design tools are being developed. ° Most current devices us synchronous logic inside local blocks, ... Edge-Triggered T Flip-FlopTrang 39T Flip-flop Implementation by JK Flip-flopTrang 40Q TTrang 41Implement JK Flip-flop by T Flip-flopTrang 43° Asynchronous design is often unavoidable: • User interfaces • ... sequential logic circuits ° The possibility of two cascaded combinational circuits feeding each other, generating oscillations and unstable transient behavior can be controlled by using a
Ngày tải lên: 12/02/2020, 23:39
Lecture Digital logic design - Lecture 15: Magnitude comparators and multiplexers
... outputs: A>B, A=B, A<B ° Design Approaches • the truth table - 2 2n entries - too cumbersome for large n • use inherent regularity of the problem - reduce design efforts - reduce human ... C3 C2 Trang 21D01 D23 Therefore, one term in thelogic equation for A > B isA3 . B3’ Find A > B Trang 22Therefore, the next term in thelogic equation for A > B is C3 . C2 . A1 . B1’ ... Greater/less than requires more hardware than equality ° Multiplexers are fundamental digital components • Can be used for logic • Useful for datapaths
Ngày tải lên: 12/02/2020, 23:58
Lecture Digital logic design - Lecture 12: More about combinational analysis and design procedures
... feedback or storage elements). Trang 28Digital Design Overview° Design digital circuit from specification ° Digital inputs and outputs known • Need to determine logic that can transform data ° Start ... 51Multilevel Logic Circuits Objectives: 1 Design logic circuits that meet the fan-in requirements of the chosen technology. 2 Design a minimum-cost logic circuit. Trang 52Multilevel Logic CircuitsTwo ... Trang 29Design Procedure (Mano) Design a circuit from a specification. 1 Determine number of required inputs and outputs. 2 Derive truth table 3 Obtain simplified Boolean functions 4 Draw logic
Ngày tải lên: 13/02/2020, 00:14
Lecture Digital logic design - Lecture 22: Sequential circuits analysis
... Vs Design°Analysis: Start from circuit diagram, build state table or state diagram °Design: Start from specification set (i.e in state equation form, state table or state diagram) build logic ... memory. Trang 3 Synchronous Sequential Logic Circuit All Flip-Flops use the same clock and change state on the same triggering edge. Asynchronous Sequential Logic Circuit Can change state at ... memory for the circuit and the combinational logic which realizes the input functions for the flip-flops and the output functions. The combinational logic may be implemented with gates, with a
Ngày tải lên: 13/02/2020, 00:30
Lecture Digital logic design - Lecture 29: Random access memory (RAM)
... contain a collection of data bytes • A collection of bytes is called a word • A sixteen bit word contains two bytes • Capacity of RAM device is usually described in bytes (e.g 16 MB) ° Write operations ... • 200MHz x 8 bytes/cycle = 1600MB/s • 266MHz x 8 bytes/cycle = 2100MB/s. ° DDR-RAM has lower power consumption, using 2.5V instead of 3.3V like SDRAM This makes it good for notebooks and other ... by multiplying the number of transfers per second by the size of each transfer. • PC100 can transfer up to 800MB per second (100MHz x 8 bytes/cycle). • PC133 can get over 1 GB per second.
Ngày tải lên: 13/02/2020, 00:35
Lecture Digital logic design - Lecture 9: NAND and XOR Implementations
... ("bubbles") ° Each introduced "bubble" must be matched by a corresponding "bubble" • Conservation of inversions • Do not alter logic function ° Example: AND/OR to NAND/NAND Z NAND NAND ... counted • In a typical circuit, inversion is done once and signal distributed Trang 13Two-level Logic using NAND Gates (cont’d)Trang 14° Convert from networks of ANDs and ORs to networks of NANDs ... Consensus Theorem Trang 5• The above alternate symbols can be used to facilitate the analysis and design of NAND and NOR gate networks. Trang 7NAND-NAND & NOR-NOR Networks= = Trang 8NAND-NAND
Ngày tải lên: 13/02/2020, 00:36
Lecture Digital logic design - Lecture 8: More Karnaugh Maps and Don’t Cares
... write the simplified sum-of- products (SOP) logic expression for the logic care conditions. Trang 25B D A C 1 1 B D A C 1 1 Essential Minterms covered by essential prime implicants Selected Trang ... = 11 is a don’t-care condition , meaning that a circuit with x 1 and x 2 as inputs can be designed by ignoring this condition. ° A function that has don’t-care condition(s) is said to be incompletely ... function is incompletely specified and there are multiple (completely specified) logic functions that can be used in the design. • so we can select a function that gives the simplest circuit ° When
Ngày tải lên: 13/02/2020, 01:04
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