MindMap Gallery digital logic circuit
A mind map about digital logic circuits. The contents include introduction to digital logic, logic algebra, combinational logic circuits, latches and flip-flops, sequential logic circuits, and semiconductor memories. Let's take a look at it together.
Edited at 2023-04-24 21:55:12El cáncer de pulmón es un tumor maligno que se origina en la mucosa bronquial o las glándulas de los pulmones. Es uno de los tumores malignos con mayor morbilidad y mortalidad y mayor amenaza para la salud y la vida humana.
La diabetes es una enfermedad crónica con hiperglucemia como signo principal. Es causada principalmente por una disminución en la secreción de insulina causada por una disfunción de las células de los islotes pancreáticos, o porque el cuerpo es insensible a la acción de la insulina (es decir, resistencia a la insulina), o ambas cosas. la glucosa en la sangre es ineficaz para ser utilizada y almacenada.
El sistema digestivo es uno de los nueve sistemas principales del cuerpo humano y es el principal responsable de la ingesta, digestión, absorción y excreción de los alimentos. Consta de dos partes principales: el tracto digestivo y las glándulas digestivas.
El cáncer de pulmón es un tumor maligno que se origina en la mucosa bronquial o las glándulas de los pulmones. Es uno de los tumores malignos con mayor morbilidad y mortalidad y mayor amenaza para la salud y la vida humana.
La diabetes es una enfermedad crónica con hiperglucemia como signo principal. Es causada principalmente por una disminución en la secreción de insulina causada por una disfunción de las células de los islotes pancreáticos, o porque el cuerpo es insensible a la acción de la insulina (es decir, resistencia a la insulina), o ambas cosas. la glucosa en la sangre es ineficaz para ser utilizada y almacenada.
El sistema digestivo es uno de los nueve sistemas principales del cuerpo humano y es el principal responsable de la ingesta, digestión, absorción y excreción de los alimentos. Consta de dos partes principales: el tracto digestivo y las glándulas digestivas.
digital logic circuit
Introduction to Digital Logic
Digital signals and digital circuits
number system
Decimal D
Binary B
Hexadecimal H and Octal O
Binary arithmetic operations
Original code
The sign bit of a positive number is 0 and the sign bit of a negative number is 1
reverse code
The one's complement code of a positive number is the same as the original code. The one's complement code of a negative number is the sign bit unchanged and the numerical bit bits are inverted bit by bit.
complement
The complement of a positive number is the same as the original code, and the complement of a negative number is its complement plus 1.
binary code
BCD code
Gray code
ASCII code
Binary logical variables and basic logical operations
AND operation---L=A*B
Or operation---L=A B
Not operation---L=A inverse
Logical functions and their representation methods
truth table
logical function expression
logic diagram
Waveform graph
logical algebra
Basic laws and rules of logical algebra
The law of self-conformity, the law of 0-1, the law of overlap, the law of complementarity, the law of reduction, the law of commutability, the law of association, the law of distribution, the law of absorption, the law of inversion
Substitution rules, inversion rules, duality rules, Shannon expansion theorem
The form of a logical function expression
AND-OR expression, OR-AND expression
Minimum term expression, maximum term expression
Algebraic Simplification of Logical Functions
Karnaugh map simplification method for logical functions
combinational logic circuit
Analysis of Combinational Logic Circuits
(1) Write expressions, and directly deduce the output expression from input to output; (2) Simplify, use formulas or graphics to simplify expressions; (3) Logical functions and analysis, can be listed according to the simplified expressions Find its logical truth table.
Design of combinational logic circuits
(1) Analyze design requirements and set input and output variables (2) List truth tables (3) Write logical expressions and simplify them (4) Draw logic circuit diagrams
Combinational Logic Circuit Competition - Adventure
After the same signal is transmitted through different paths, it reaches a certain meeting point in the circuit at different times. This phenomenon is called logical competition, and the resulting output interference pulse is called risk.
Add a product term to avoid adding complementary terms, and connect a capacitor in parallel at the output
Some typical combinational logic circuits
Encoder
Using a binary code to represent information with a specific meaning is called encoding
decoder
Converting binary codes with specific meanings into corresponding output signals is decoding
data selector
After selection, the data of multiple channels are transmitted to the only common data channel. The logic circuit that implements the data selection function is called a data selector.
Numeric comparator
arithmetic operation circuit
half adder
Only the two addends themselves are considered, and the addition operation with low carry is not considered.
full adder
Complete the operation of adding the summand, the addend and the low carry signal, and giving the carry signal based on the summation result
Latches and flip-flops
Basic bistable circuit
A unit circuit that has two logic states of 0 and 1. Once it enters one of the states, it can remain unchanged for a long time.
SR latch
NOR gate, NAND gate
D latch
Circuit structure and working principle of flip-flop
D flip-flop
JK flip-flop
T flip-flop
SR flip-flop
Trigger logic function
sequential logic circuit
Basic concepts of sequential logic circuits
Millie type sequential circuit Moore type sequential circuit
Its output signal is a function of the state variable and the input signal. The output signal is only a function of the state variable.
Analysis of Synchronous Sequential Logic Circuits
1. Write a system of logic equations 2. Draw a state transition table 3. Draw a state transition diagram 4. Draw a timing diagram
Design of Synchronous Sequential Logic Circuits
1. Establish the original state transition diagram and the original state transition table from the given logic function 2. State simplification 3. State allocation 4. Select the trigger type 5. Determine the excitation equation set and the output equation set 6. Draw the logic diagram and Check self-correction capabilities
Analysis of asynchronous sequential logic circuits
1. List each logic equation group 2. List the state transition table 3. Draw the state transition diagram and timing diagram 4. Logic function analysis
Some typical sequential logic circuits
Registers and shift registers
counter
semiconductor memory
ROM
ROM
In normal working condition, only information can be read out
RAM
Read or write operations can be performed at any time in the running state
random access memory
FPGA and CPLD
Transformation and generation of wave impulse waveforms
monostable circuit
A basic pulse unit circuit with two working states: steady state and transient state. When there is no external signal trigger, the circuit is in a steady state. When triggered by an external signal, the circuit flips from the steady state to the transient state, and after a period of time, the circuit automatically returns to the steady state. The length of the transient time depends on the parameters of the circuit itself and has nothing to do with the duration of the trigger signal.
Integrated steady state circuit
Non-repetitive triggering-----can only accept trigger signals in steady state
Repeatable triggering-------During the transient steady state, the circuit can accept a new trigger signal and restart the transient steady state process.
Schmitt trigger circuit
multivibrator circuit