digital logic design lecture notes pdf

... 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 ... 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 ... input When the binary input is 4, 5, 6 or 7, the binary output is three less than the input Trang 8Design a combinational circuit with three inputs x, y and z and three outputs A, B and C, when

Ngày tải lên: 12/02/2020, 13:52

... Trang 1Lecture 11Combinational Design Procedure Trang 2w ° Design digital circuit from specification ° Digital inputs and outputs known • Need to determine logic that can transform ... 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

... 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 ... 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

... Trang 1Lecture 6More Logic Functions: NAND, NOR, XOR and XNOR Trang 2w ° More 2-input logic gates (NAND, NOR, XOR) ° Extensions to 3-input gates ... 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

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

... 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

... 43° 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 ... tools generally have been synchronous only, but asynchronous design tools are being developed. ° Most current devices us synchronous logic inside local blocks, and asynchronous communication ... Q when C=1 Trang 18° The latch circuits are not appropriate for use in synchronous sequential logic circuits ° The possibility of two cascaded combinational circuits feeding each other, generating

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

... • Chain the single-bit hardware together to create bigger designs ° The approach is call ripple-carry addition • Can be slow for large designs ° Overflow is an important issue for computers • ... carry out - C i+1 Trang 11Full Adder (C in SOP)Trang 14° Hardware repetition simplifies hardware designTrang 15° Putting it all together • Single-bit full adder • Common piece of computer hardware ... Trang 1Lecture 14Binary Adders and Subtractors Trang 2w ° Addition and subtraction of binary data is fundamental

Ngày tải lên: 13/02/2020, 01:39