digital logic design by godse

... 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 ... four bit binary number 16 Problem (Mano) Design a combinational circuit that converts a four bit Gray code to four bit binary number 17 Problem (Mano) Design a combinational circuit that converts

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 data ° Start ... 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

... and logic operations ° Function results in binary or x 0 0 1 1 y 0 1 0 1 z 1 1 F 0 0 1 x y z z’ y+z’ F = x(y+z’) F = x(y+z’) Boolean Functions ° Boolean algebra deals with binary variables and logic ... Algebra and Logic Simplification Simplification Using Boolean Algebra Gate Network for Example 1: AB+A(B+C)+B(B+C) A AB B A B A(B+C) B+C AB+A(B+C)+B(B+C) C B B(B+C) Boolean Algebra and Logic Simplification ... Algebra and Logic Simplification Simplification Using Boolean Algebra Example 2: Using Boolean algebra techniques, simplify the following expression: [AB(C + BD) + AB]C Boolean Algebra and Logic Simplification

Ngày tải lên: 12/02/2020, 15:12

... 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 ... Theorem Alternate Logic- Gate Representations Standard and alternate symbols for various logic gates and inverter Invert each input and output of the standard symbol, This is done by adding bubbles(small ... flexibility x 0 1 y 1 G 0 Logic functions of variables Truth table - Wikipedia, The NA ND A Y Gat B e ° This is a NAND gate It is a combination of an AND gate followed by an inverter Its truth

Ngày tải lên: 12/02/2020, 15:41

... Digital Logic Design Lecture More Number Systems/Complements Overvie w ° Hexadecimal numbers • Related ... represent? • ° (110.10)2 = 1x22 + 1x21 + 0x20 + 1x2-1 + 0x2-2 Groups of eight bits are called a byte • ° (1011)2 = 1x23 + 0x22 + 1x21 + 1x20 = (11)10 What about fractions? • ° and (11001001) Groups ... number from to °Each digit represents binary bits °Was used in early computing, but was replaced by hexadecimal 10 One’s Complement Representation • The one’s complement of a binary number involves

Ngày tải lên: 12/02/2020, 15:41

... Basic logical operators are the logic functions AND, OR and NOT ° Logic gates implement logic functions ° Boolean Algebra: a useful mathematical system for specifying and transforming logic functions ... the Boolean space spanned by (x1,x2) is {0,1}2 = {0,1}×{0,1} = {00, 01, 10, 11} Overview ° Logic functions with 1’s and 0’s • Building digital circuitry ° Truth tables ° Logic symbols and waveforms ... Algebra ° Formal logic: In formal logic, a statement (proposition) is a declarative sentence that is either true(1) or false (0) ° It is easier to communicate with computers using formal logic ° Boolean

Ngày tải lên: 12/02/2020, 15:51

... ° Data can move from register to register ° Digital logic used to process data ° We will learn to design this logic Register A Register B Digital Logic Circuits Register C Transfer of Information ... Digital Logic Design Lecture Complements, Number Codes and Registers Overvie w ° Complement of numbers ... positive numbers, this would allow for all numbers from (naturally represented by 00000000) to and inclusively 255 (represented by 11111111) ° The most obvious solution is to spare the first bit as a

Ngày tải lên: 12/02/2020, 18:08

... 10 10 000 11 11 Rea d° Onl N input bits y ° Me 2N words by M bits ° mor Implement M arbitrary functions of N variables y • Example words by bits: (RO M) A 3 Input Lines B C ROM 8 words x 5 bits ... although the speeds still don’t compare with regular RAMs • MP3 players, digital cameras and other toys use CompactFlash, Secure Digital, or MemoryStick cards for non-volatile storage • Many devices ... Mealy 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

Ngày tải lên: 12/02/2020, 18:25

... Lecture 31 PLAs and Arithmetic Logic Unit (ALU) Programmable Logic Array ° A ROM is potentially inefficient because it uses a decoder, which generates ... Mealy 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 ... 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,

Ngày tải lên: 12/02/2020, 19:02

... we convert from one to the other? Logic circuits ° Logic circuits for digital systems may be combinational or sequential ° Combinational circuit consists of logic gates whose outputs at any time ... propagation delay of the logic gate (tp) ° The propagation delay for a to output change (tpLH) may be different than the delay for a to change (tpHL) Gat e Del ays (co nt’d ) Digital? ?signal: Important ... change at input to cause change at output • delay – typical/nominal delay – max delay • careful designers design for both worst case and best case ° Rise time — time for output to transition from low

Ngày tải lên: 12/02/2020, 20:23

... Unstable combinati on 1 X race conditio 21 Review: Steering Gates ° The flow of logic can be controlled with a logic gate Signal 10 °°10 Control The NAND as a steering gate inverts the input ... 0 1 No  c h ang e No  c h ang e  ( r e s e t ) 1 ( s e t ) A vo id ! ° Notice the hierarchical design! • The dotted blue box is the S’R’ latch from the previous slide • The additional NAND gates

Ngày tải lên: 12/02/2020, 20:43

... external gates, design the combinational circuit defined by the following three Boolean functions 18 Problem Using a decoder and external gates, design the combinational circuit defined by the following ... external gates, design the combinational circuit defined by the following three Boolean functions 20 Problem Using a decoder and external gates, design the combinational circuit defined by the following ... 2’s complementer? Try it yourself 10 Problem Design a four-bit combinational circuit incrementer (a circuit that adds to a four-bit binary number (b) Design a four-bit combinational circuit decrementer

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 ... Flip-flop Implementation by JK Flip-flop 39 T Flip-flop Implementation T Flip-Flop T J K Q D T Q Q D = JQ’ + K’Q D = TQ’ + T’Q = T   Q Q T Q Q 40 Implement JK Flip-flop by T Flip-flop 41 Flip Flo

Ngày tải lên: 12/02/2020, 23:39

... other word, a comparator determines the relationship of two binary quantities Designing Comparators Functionally Designing Comparators Functionally Add an enable line A A>B A=B B Enable Build ... Select one out of several bits • Some inputs used for selection • Also can be used to implement logic Comparators ° Comparing two binary words is a common operation in computers ° A circuit that ... comparators ° XOR and XNOR gates can be viewed as 1-bit comparators ° Comparator is a combinational logic circuit that compares the magnitudes of two binary quantities to determine which one has the

Ngày tải lên: 12/02/2020, 23:58

... 1 0 1 10 Multilevel Logic Circuits Two techniques that can be used to realize multilevel logic circuits: Factoring Functional Decomposition 52 Factoring Example: Realize a logic circuit that has ... Example: Design the minimum-cost logic circuit that implements the following Boolean expressions F1(A,B,C,D) = m(1,2,3,7,11,15) F2(A,B,C,D) = M(0,1,2,3,4,8,12) 54 Functional Decomposition Example: Design ... process is much more complicated Cannot write a Boolean expression by inspection Must follow a procedure to implement the analysis Logic Circuit Analysis Identify inputs and outputs Track circuit

Ngày tải lên: 13/02/2020, 00:14

... = D.(Q +Q) = D.1 = D 10 Design: Example ° Determine input expression for flip-flop and y output 35 Design Example °From Boolean expressions built, draw logic diagram 36 Design: Example ° How if ... 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 ROM, or with a PLA Sequential Logic (Why) ... Circuit Design (cont’d) Design table for the binary counter example 46 Seq uen tial Circ uit Des ign (co nt’d ) Use K-maps to simplify expressions for JK inputs 47 Sequential Circuit Design (cont’d)

Ngày tải lên: 13/02/2020, 00:30

... Computer Engineering ECE380 Digital Logic Introduction to Logic Circuits: Design Examples Dr. D. J. Jackson Lecture 5-2Electrical & Computer Engineering Design examples • Logic circuits provide ... Engineering ECE380 Digital Logic Introduction to Logic Circuits: Synthesis using AND, OR, and NOT gates Dr. D. J. Jackson Lecture 4-2Electrical & Computer Engineering Example logic circuit design • ... AND logical AND –OR logical OR – NOT logical NOT – NAND, NOR, XOR, XNOR (covered later) • Assignment operator <= – A variable (usually an output) should be assigned the result of the logic...

Ngày tải lên: 27/03/2014, 20:00

... inverse Digital Logic and Microprocessor Design with VHDL Chapter 2 - Digital Circuits 43 the focus is on the design of the digital circuitry of the microprocessor, the memory, and other supporting digital ... to reduce a Boolean equation Digital Logic and Microprocessor Design with VHDL Chapter 2 - Digital Circuits 51 Digital Logic and Microprocessor Design With VHDL Enoch ... gate LIBRARY ieee; USE ieee.std _logic_ 1164.ALL; ENTITY and2gate IS PORT( i1, i2: IN STD _LOGIC; Digital Logic and Microprocessor Design with VHDL Chapter 1 - Designing Microprocessors 24 Notice,...

Ngày tải lên: 17/03/2014, 17:20

... inverse Digital Logic and Microprocessor Design with VHDL Chapter 2 - Digital Circuits 43 the focus is on the design of the digital circuitry of the microprocessor, the memory, and other supporting digital ... IEEE.STD _LOGIC_ 1164.all; ENTITY Siren IS PORT ( M: IN STD _LOGIC; D: IN STD _LOGIC; V: IN STD _LOGIC; S: OUT STD _LOGIC) ; END Siren; ARCHITECTURE Dataflow OF Siren IS SIGNAL term_1, term_2, term_3: STD _LOGIC; BEGIN term_1 ... Next-state logic  State memory  Output logic  Combinational circuit  Sequential circuit  Transistor level design  Gate level design  Register-transfer level design  Behavioral level design...

Ngày tải lên: 19/03/2014, 21:20