digital logic design by a p godse d a godse pdf

... partial pulses at X dce 2009 Data Storage and Transfer dce 2009 Asynchronous Data Transfer Operation • Asynchronous transfers are controlled by PRE and CLR inputs • Transferring the bits of a ... flip-flop implementation from a J-K flip-flop Digital Logic Design https://fb.com/sinhvienzonevn http://www.cse.hcmut.edu.vn/~tnthinh/DS1 dce 2009 D Latch (Transparent Latch) • One data input ... Digital Logic Design • Here we will look at Sequential Logic circuits – The output(s) can depend on present and also past values of the input and the output variables FLIP-FLOP • Sequential circuits

Ngày tải lên: 30/01/2020, 21:11

... segment decoder is a combinational circuit that converts a decimal digit in BCD to an appropriate code for the selection of segments in an indicator used to display the decimal digit in a familiar ... (Mano) An ABCD-to-seven segment decoder is a combinational circuit that converts a decimal digit in BCD to an appropriate code for the selection of segments in an indicator used to display the decimal ... decoder is a combinational circuit that converts a decimal digit in BCD to an appropriate code for the selection of segments in an indicator used to display the decimal digit in a familiar form

Ngày tải lên: 12/02/2020, 13:52

... Combinational Design Procedure Overvie w ° Design digital circuit from specification ° Digital inputs and outputs known • Need to determine logic that can transform data ° Start in truth table ... Create K-map for each output based on function of inputs ° Determine minimized sum-of-product representation ° Draw circuit diagram Design Procedure (Mano) Design a circuit from a specification ... Use graphical representation to assist in simplification of function ° Use concept of “don’t care” conditions ° Example - encoding BCD to seven segment display ° Similar to approach used by designers

Ngày tải lên: 12/02/2020, 14:29

... 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 a serial adder using a sequential-logic ... al °Add Slower than itio parallel n (D °Flip Low cost °Flo Share fast hardware on p)slow data ° Good for multiplexed data 23 Seri al Add ° Only one full itio adder n (D ° Reused Flip for each ... registers are 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

Ngày tải lên: 12/02/2020, 15:09

... 23Simplification Using Boolean Algebra.Gate Network for Example 1: ABAB Boolean Algebra and Logic Simplification Trang 24Simplification Using Boolean Algebra.Gate Network for Example 1: B+AC C B+AC ACA ... Algebra.Example 1: AB + A(B+C) +B(B+C) = Solution: AB + A(B+C) +B(B+C) = AB+AB+AC+BB+BC = AB+AB+AC+B+BC = AB+AC+B+BC = AB+AC+B = B+AC Boolean Algebra and Logic Simplification Trang 23Simplification ... 13Reducing Boolean Expressionsxy + yz two AND (Gate) operations and one OR (Gate) y z Trang 14Reduced Hardware Implementation ° Reduced equation requires less hardware! ° Same function implemented!

Ngày tải lên: 12/02/2020, 15:12

... NOT gate ° A NAND gate whose output is complemented is equivalent to an AND gate, and a NAND gate with complemented inputs acts as an OR gate ° Therefore, we can use a NAND gate to implement all ... NOT Gate Gat es (what are these circuits?) Y A B Y AND Gate A Y B OR Gate Cascaded NAND Gates 3-input NAND gate NAND Gate and Laws The NO R Gat e A B Y ° This is a NOR gate It is a combination ... a combination of an AND gate followed by an inverter Its truth table shows this… ° NAND gates have several interesting properties… • NAND(a,a)=(aa)’ = a’ = NOT(a) • NAND’(a,b)=(ab)’’ = ab = AND(a,b)

Ngày tải lên: 12/02/2020, 15:41

... comp Add Trang 51Step 1: Add binary numbersStep 2: Ignore carry bit Add Ignore Trang 52Step 1: Take 2’s complement of 2 nd operandStep 2: Add binary numbers Step 3: Ignore carry bit 2’s comp Add ... subtracting numbers is also easy ° For example, suppose we wish to subtract Add carry Final Step 1: Take 1’s complement of 2 nd operand Step 2: Add binary numbers Step 3: Add carry to low order ... complement process 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?

Ngày tải lên: 12/02/2020, 15:41

... is raining and Monday AND it is Monday Trang 4Boolean Algebra° Formal logic: In formal logic, a statement (proposition) is a declarative sentence that is either Trang 5Venn Diagrams5 A  A B ... B B A   B A B A B A B A A A A Trang 6Boolean Algebra° Boolean Algebra is a mathematical technique that provides the ability to algebraically simplify logic expressions These simplified expressions ... Trang 1Lecture 4Boolean Algebra Trang 2• Today is Monday AND it is raining • Today is Sunday OR it is NOT raining • Today is Monday AND today is NOT Monday - (This is a contradiction) ° The expression

Ngày tải lên: 12/02/2020, 15:51

... 1 Added even parity bit 0 1 0 0 0 0 1 1 Added odd parity bit Trang 28° Concatenate a parity bit to the ASCII code for the characters 0, X, and = to produce both odd-parity and even-parity codes. ... Character ASCII Odd-Parity ASCII Even-Parity ASCII Trang 29Binary Data Storage• Binary cells store individual bits of data • Multiple cells form a register. • Data in registers can indicate ... using data formats Define the different ways human data may be represented, stored and processed by a computer Trang 16° Numbers are important to computers as they • Represent information precisely

Ngày tải lên: 12/02/2020, 18:08

... an address as input, and produces some data as the output. ° A ROM table is basically just a truth table. • The table shows what data is stored at each ROM address. • You can generate that data ... regular RAMs. • MP3 players, digital cameras and other toys use CompactFlash, Secure Digital, or MemoryStick cards for non-volatile storage. • Many devices allow you to upgrade programs stored ... The decoder inputs form an address , which refers to one of the eight available words. • So every input combination corresponds to an address, which is “read” to produce a 3-bit data output.

Ngày tải lên: 12/02/2020, 18:25

... multi-bit data inputs • Function indicates action (e.g add, subtract, OR…) ° DataOut is same bit width as multi-bit inputs (DataA and DataB) ° ALU is combinational ° Conditions indicate special conditions ... generate A blank x x PLA ° This is a x x PLA (3 inputs, up to product terms, and outputs), ready to be programmed Inputs OR array ° The left part of the diagram replaces the decoder used in a ROM ... together to make larger ALUs ° ALUs are important parts of datapaths • ROMs often are used in the control path ° Build a data and control path Arithmetic Logic Unit ° Arithmetic logic unit functions

Ngày tải lên: 12/02/2020, 19:02

... combinational logic circuit may differ from what is predicted by a steady-state analysis. ° In particular a circuit’s output may produce a short pulse (often called a glitch) at a time when steady ... Trang 1Lecture 10Circuit Analysis Procedure Trang 2- Create a truth table - Create a minimized circuit ° Approaches • Boolean expression approach • Truth table approach ° Leads to minimized hardware ... Outputs 1 Label all gate outputs that are a function of input variables. 2 Label gates that are a function of input variables and previously labeled gates. 3 Repeat process until all outputs are

Ngày tải lên: 12/02/2020, 20:23

... Sequential Circuits • Sequential circuits have input, present state, next state and output Next state depends upon present state and input Output depends upon present state and input • Example: Flip-Flops ... signal can determine storage times • Clock signals are periodic ° Single bit storage element is a flip flop ° A basic type of flip flop is a latch ° Latches are made from logic gates • NAND, NOR, ... elements created from cascaded gates • Simplest gate component: inverter • Basis for commercial static RAM designs • Cross-coupled NOR gates and NAND gates also possible Static Memory Cell Trang 6The

Ngày tải lên: 12/02/2020, 20:43

... format ( add Fh ) to the number An attempt to decrement 0 will assert the borrow bit. 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 circuit defined by the following three Boolean functions. Trang 1919 combinational circuit defined by ... Boolean functions.Trang 20Problem Using a decoder and external gates, design the combinational circuit defined by the following three Boolean functions. Trang 2121 combinational circuit defined by

Ngày tải lên: 12/02/2020, 22:25

... 4-bit adder (ripple-carry) • Notice how carry-out propagates • One adder is active at a time • full adders are needed Sequential Adder  1-bit memory and 4-bit memory  Only one full-adder!  clocks ... components ° The main difference between a latch and a flip-flop is that the first are level triggered and the latter are edge triggered ° Flip-flops and latches have a clock input Latc hes •Latch ... •Latch is a type of temporary storage device that has two stable states (bistable) •Latch is normally placed in a category separate from that flip – flops •The main difference between latch and FF

Ngày tải lên: 12/02/2020, 23:39

... binary words and indicates whether they are equal is a comparator. ° Some comparators interpret their input as signed or unsigned numbers and also indicate an arithmetic relationship (greater or ... three-state gate has no output Trang 42° Magnitude comparators allow for data comparison • Can be built using and-or gates ° Greater/less than requires more hardware than equality ° Multiplexers are ... less than) between the words. ° These circuits are often called magnitude comparators. ° XOR and XNOR gates can be viewed as 1-bit comparators. ° Comparator is a combinational logic circuit that

Ngày tải lên: 12/02/2020, 23:58

... conditions. ° Example - encoding BCD to seven segment display. ° Similar to approach used by designers in the field Trang 31BCD to Seven Segment Display ° Used to display binary coded decimal ... used to implement the logic circuit. Standard TTL and CMOS chips Field Programmable Gate Array (FPGA) Complex Programmable Logic Device (CPLD) Trang 49Multilevel Logic Circuits Example: Realize ... minimized sum-of-product representation ° Draw circuit diagram Trang 29Design Procedure (Mano) Design a circuit from a specification. 1 Determine number of required inputs and outputs. 2 Derive

Ngày tải lên: 13/02/2020, 00:14

... called finite-state machines. Trang 12° Given sequential circuit diagram, behavioral analysis from state table and also state diagram ° Need state equations to get flip-flop input and output ... Outputs and the next state are both a function of the inputs and the present state ° A logic diagram is recognized as a clocked sequential circuit if it includes flip-flops. ° Logic diagram may ... output other than flip-flop (if any) ° A(t) and A(t+1) are used to represent current state and the next state for flip-flop. ° A and A + can also be used in order to represent current state and

Ngày tải lên: 13/02/2020, 00:30

... needed Trang 82 Apply data bits to data input lines 3 Activate write input Data output lines unused Read input signal should be inactive Delay associated with write Trang 92 Activate read inputData ... write data to specific words ° Read operations read data from specific words ° Note: new notation for OR gate Trang 5RAM Interface Signals° Data input and output lines carry data Trang 6Random Access ... • Processor generates control signals, address, and data • Values stored and then read from RAM Trang 13Types of Random Access Memories ° Static random access memory (SRAM) • Operates like a

Ngày tải lên: 13/02/2020, 00:35

... 8NAND-NAND Networks° Mapping from AND/OR to NAND/NAND a b c d Trang 9NAND-NAND Networksa b c d a b c d Trang 11° Replace minterm AND gates with NAND gates° Place compensating inversion at inputs ... e Law 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 ...    = [ (A' + B')  •  (C' + D')  ]'    = [ (A' + B')' + (C' + D')'  ]    =   (A  •  B)   + (C  • D)  Z NAND NAND NAND Trang 17A B CD E F G • Reduced sum-of-products form – already simplified • 6 x 3-input AND gates

Ngày tải lên: 13/02/2020, 00:36