digital logic design lecture notes download

... Lecture 13 Problems (Mano) Problems (Mano) °Obtain the simplified Boolean expressions for outputs F and G in terms of the input variables in (A,B,C and D) Problems (Mano) Problem (Mano) Design ... odd number Problem (Mano) Design a combinational circuit with three inputs and one output b) The output is when binary value of the inputs is an odd number Problem (Mano) Design a combinational ... also shown in Fig Using the truth table and K-Map, design the BCD-to-seven-segment decoder using the minimum number of gates 15 Problem (Mano) Design a combinational circuit that converts a four

Ngày tải lên: 12/02/2020, 13:52

... Lecture 11 Combinational Design Procedure Overvie w ° Design digital circuit from specification ° Digital inputs and outputs known • Need to determine logic that can transform ... function: • Boolean expression • truth table • logic circuit • minterms/maxterms • Karnaugh map Combinational logic design ° Use multiple representations of logic functions ° Use graphical representation ... circuit diagram Design Procedure (Mano) Design a circuit from a specification Determine number of required inputs and outputs Derive truth table Obtain simplified Boolean functions Draw logic diagram

Ngày tải lên: 12/02/2020, 14:29

... Table 26 Design a serial adder using a sequential-logic procedure 27 Design a serial adder using a sequential-logic procedure 28 Design a serial adder using a sequential-logic procedure 29 Design ... combin logic 25 Design a serial adder using a sequential-logic procedure Two shift registers are required to store the binary numbers to be added serially serial outputs from the registers are designated ... registers can be used with adders to build arithmetic units ° Remember: most digital hardware can be built from combinational logic (and, or, invert) and flip flops • Basic components of most computers

Ngày tải lên: 12/02/2020, 15:09

... 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 ... Trang 1Lecture 5More Boolean Algebra A B Trang 2w ° Expressing Boolean functions ° Relationships between ... 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

Ngày tải lên: 12/02/2020, 15:12

... Lecture More Logic Functions: NAND, NOR, XOR and XNOR Overvie w ° More 2-input logic gates (NAND, NOR, XOR) ° Extensions to 3-input gates ... sum-of-products and NORs • SOP to NORs • NORs to SOP ° Positive and negative logic • We use primarily positive logic in this course Logic functions of N variables ° Each truth table represents one possible ... the INVERTER, the operation symbol is not changed) Positive Logic and Negative Logic We will be emphasizing primarily on positive logic in this course Axioms and Graphical representation of DeMorgan's

Ngày tải lên: 12/02/2020, 15:41

... Trang 1Digital Logic DesignLecture 2 More Number Systems/Complements Trang 2w ° Hexadecimal numbers • Related to ... 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

... 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

... Transfer° Data can move from register to register. ° Digital logic used to process data ° We will learn to design this logic Register C Digital Logic Circuits Trang 31Transfer of Information ° Data ... Trang 1Digital Logic DesignLecture 3 Complements, Number Codes and Registers Trang 2w ° Complement of numbers • Addition ... Shifted into place ° Stored in memory NOTE: Data input in ASCII Trang 32° You will learn to use and design these components. Trang 33° 2’s complement most important (only 1 representation for zero).

Ngày tải lên: 12/02/2020, 18:08

... Lecture 31 PLAs and Arithmetic Logic Unit (ALU) Programmable Logic Array ° A ROM is potentially inefficient because it uses a ... ROMs often are used in the control path ° Build a data and control path Arithmetic Logic Unit ° Arithmetic logic unit functions • Two multi-bit data inputs • Function indicates action (e.g add, ... connect a wire from the top pin of R1 to the middle of the wire which connects +15V to R2 35 Digital Logic Simulation Click the Open button in the Toolbar Select the SIM.CKT file from the list

Ngày tải lên: 12/02/2020, 19:02

... approach ° Leads to minimized hardware ° Provides insights on how to design hardware Trang 3Gate Delays° When the input to a logic gate is changed, the output will not change immediately. ° The ... 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 ... 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

Ngày tải lên: 12/02/2020, 20:23

... 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

... 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 ... output if E is 1 Trang 3° 3-State buffer makes use of the output of two or more gates or other logic devices can be connected to each other. ° Enable Signal B = 1 the output C = A ° Enable Signal ... high-impedance (open ckts) • If the Enable input is low, the three-state gate has no output Trang 6Problem Design a 4-bit combinational circuit 2’s complementer (The output generates the 2’s complement of

Ngày tải lên: 12/02/2020, 22:25

... Asynchronous ° Asynchronous design is often unavoidable: • User interfaces • Different speed devices • Clocks are difficult to distribute over long distances ° More difficult to design, design tools generally ... asynchronous design tools are being developed ° Most current devices us synchronous logic inside local blocks, and asynchronous communication between blocks ° What constitutes a “block” is shrinking as logic ... Lecture 21 Sequential Circuits: Flip flops Combinational vs Sequential A combinational circuit:

Ngày tải lên: 12/02/2020, 23:39

... Trang 1Lecture 15Magnitude Comparators and Multiplexers Trang 2w ° Discussion of two digital building blocks ° Magnitude comparators • Compare ... 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’

Ngày tải lên: 12/02/2020, 23:58

... 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 ... Minterms, write the Of-Products logic expression. Trang 23Analyze the logic circuit shown below to determine the logic expression for the output F 2. Using the logic expression, derive the circuit’s

Ngày tải lên: 13/02/2020, 00:14

... 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

... parity bit The four check bits are evaluated as follows: A 0 check bit designates an even parity over the checked bits and a 1 designates an odd parity Since the bits were stored with even parity, ... expensive • Used inside processors ° Dynamic random access memory (DRAM) • Generally, simpler internal design than SRAM • Requires data to be rewritten (refreshed), otherwise data is lost • Often hold ... Trang 1Lecture 29Random Access Memory (RAM) Trang 2Random Access Memory (RAM) A memory unit is a collection

Ngày tải lên: 13/02/2020, 00:35

... Trang 1Lecture 09NAND and XOR Implementations Trang 2w ° Developing NAND circuits ° Two-level implementations ... 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 ... 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

Ngày tải lên: 13/02/2020, 00:36

... all 1’s are covered° Try to minimize total product terms ° Design could be implemented using NANDs and NORs Trang 9Don’t cares° In digital systems it often happens that certain input conditions ... 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 ... transferring the truth table data into the K-Map, write the simplified sum-of- products (SOP) logic expression for the logic Trang 24SRT S R S R S R U T T U T U TU T R S R Ex: Don’t Care Conditions After

Ngày tải lên: 13/02/2020, 01:04

... overflow) Trang 17Recap after Combinational LogicTrang 18Sequential Logic (Why) ?° Sequential circuit has additional dimension which is time ° Combinational logic only depends on current input ° ... storage and logic to make a computation circuit Trang 25Combinational vs Sequential Combinational Logic Circuit  Output is a function only of the present inputs.  Sequential Logic Circuit ... other than current input ° More powerful than combinational logic ° Able to model condition that can’t be accommodated by combinational logic Trang 19Sequential Circuits: Latches° Circuits require

Ngày tải lên: 13/02/2020, 01:17