Logical diagrams

Содержание и основные понятия

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Alterna · Chapter 18 · page 18.3
Logical diagrams
The connection between the formula and the diagram, the valve library, the formula simulation.
Any logical formula is implemented by a physical circuit of valves. The connection is direct: each operation is its own valve, each chain is a grouping, each variable is an entry. EGE No. 15 often gives a diagram and asks for a formula (or vice versa).
GEF
PIF
EGE No. 15
▪ Communication with Chapter 17
The logic is
acyclic box
Each valve is a top, a wire is a rib, and the exit of one valve can be the entrance of several others (the box's ventilation).
00
Model examples
Ventile AND
∧
A
B
1x1 = 1, otherwise 0
Ventil OR
∨
0 * 0 = 0, otherwise 1
NOT Ventil
¬
¬1 = 0, ¬0 = 1
Schematic: A.B.
∧
¬
∨
A
B
C
First ♪ and B, then ♪
01
Algorithm of the formula
Each variable is the entrance.
Each operation is an appropriate valve.
The brackets are the right connection (the exit of one operation is the entrance of another).
The exit of the last operation is the release of the circuit.
Example: F = (A)B(VC\D)
Scheme:
Entrances: A, B, C, D
NOT for C: C-entry
AND: A, B ♪ A ♪ B's exit
AND: TC, D ♪ WC\D
OR: (A)B, (WC) ♪ F output
02
Simulator formula \ Scheme
🔌
Converter of the formula
Formula
Operations:
¬
NOT ·
∧
And ·
∨
OR
→
followed ·
↔
Equivalence
⊕
XOR
03
Mini test
♪ Logical diagrams
🔥
0
Question 1 out of 5
0
XP
Ur:
Newcomer
·
50
XP