MindMap Gallery Basics of digital electronic technology (sequential logic circuits)
"A Concise Tutorial on the Basics of Digital Electronic Technology" Tsinghua University. Yu Mengchang. Fourth Edition (Chapter 6 Sequential Logic Circuits), with a detailed introduction and comprehensive description. I hope it can help interested friends learn.
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Digital Electronics Technology Basics
Chapter 6 Sequential Logic Circuit
Overview
Digital circuits are divided into two categories
Combinational logic circuit: the basic unit is a gate circuit
Sequential logic circuit: the basic unit is a flip-flop
Characteristics of sequential logic circuits
Definition: The output of the circuit at any time is not only related to the input signal at that time, but also depends on the original state of the circuit
Schematic diagram:
Circuit characteristics
1 Related to the time factor (CP)
2 Components containing memory (triggers)
Sequential logic circuit function representation method
logical expression
Output equation: the logical expression of each output signal of the sequential circuit
Driving equation: the logical expression of the synchronous input signal of each flip-flop
Equation of state:
State table, Karnaugh map, state diagram, sequence diagram
Classification of sequential logic circuits
Divided by logical function
counter
register
Shift Register
read/write memory
sequential pulse generator
Divided by clock control method
Synchronous sequential circuit: flip-flops share a clock CP, and the flip-flops whose status is to be updated flip at the same time
Asynchronous sequential circuit: all flip-flops in the circuit do not share a clock CP
According to the characteristics of the output signal
Moore type:
Mealy type:
6.1 Basic analysis and design methods of sequential logic circuits
Analytical method
Analysis steps:
Analysis example: P247 Example 6.1.1
basic concept
Valid state: In a sequential circuit, any state that is utilized is called a valid state.
Invalid state: In sequential circuits, any unused state is called an invalid state.
Effective loop: In sequential circuits, any loop formed by a valid state is called an effective loop.
Invalid loop: If the invalid state forms a loop, then this kind of loop is called an invalid loop.
Self-starting: In a sequential circuit, although there are invalid states, they do not form a cycle. Such a sequential circuit is called a self-starting sequential circuit.
Cannot self-start: In a sequential circuit, there are invalid states and a cycle is formed between them. Such a sequential circuit is called a sequential circuit that cannot self-start.
design method
design steps
1 Carry out logical abstraction and establish original state diagram
2. Simplify the state and find the simplest state diagram.
3 Encode in binary and draw the encoded state diagram
Determine the number of bits in a binary code:
4 Select the flip-flop type and find the clock equation, output equation, state equation and driving equation
5 Draw a logic diagram
6 Check whether the designed circuit can start automatically
Design example: P251 Example 6.1.2
6.2 Counter
Overview
Definition of counter: In digital circuits, the operation of memorizing the number of input CP pulses is called counting, and the electronic circuit that can realize the counting operation is called a counter.
Applications of counters: frequency division, timing, generating beat pulses and pulse sequences, performing digital operations, etc.
Counter Features
① Generally Moore type sequential circuit
②The main component is a clock flip-flop
Classification of counters
Classification by number system
binary counter
decimal counter
N-base counter
Sort by counting method
Adding counter
Down counter
Reversible counter
Classification by clock control
sync counter
Asynchronous counter
Classification by switching components
CMOS counter
TTL counter
binary counter
Binary synchronous counter
The number of effective states of the circuit M: the number of input pulses that the counter can remember
3-bit binary synchronous adding counter:
4-bit binary synchronous adding counter:
n-bit binary synchronous adding counter:
3-bit binary synchronous adding counter
Counting rules:
Serial carry:
Parallel carry:
3-bit binary synchronous down counter
Counting rules:
Serial carry:
Integrated binary synchronous adding counter
74LS161
Logical function diagram:
Function list:
Asynchronous clearing:
74LS163
Logic function diagram: same as 74LS161
Function list:
Binary asynchronous counter
3-bit binary asynchronous adding counter
State diagram:
Parallel carry:
Integrated binary asynchronous counter
Two-eight-hex counter: 74197, 74LS197
Logical function diagram:
Function list:
Decimal counter (8421BCD code)
Decimal synchronous counter
Decimal synchronous adding counter
State diagram:
Decimal synchronous down counter
State diagram:
Integrated decimal synchronous adding counter
74LS160
Logical function diagram:
Function list:
74162, 74S162, 74LS162
Logic function diagram: same as 74LS160
Function list:
decimal asynchronous counter
Integrated decimal asynchronous counter: 74LS290
N-base counter
How to obtain an N-base counter by synchronously clearing the zero end or setting the number end to zero
The main steps
Application example: P289 Example 6.2.1
How to obtain an N-base counter by using the asynchronous clearing end or setting the number end to zero
The main steps
Application example: P290 Example 6.2.2
Expansion of counter capacity
Integrated counters are generally equipped with input terminals and output terminals for cascading. As long as they are connected correctly, a counter with a larger capacity can be obtained.