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Digital Computer About
Basic Electronic

BASIC ELECTRONICS

**Chapter 8
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Digital Electronics

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**Switch to Tutorials
**(For those who need to
study theory before they can attempt Virtual Troubleshooting.)

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**Note
the circuit above has a problem.**

Click Here! If you would like
to troubleshoot this fault.

**Numerical Systems **

JAVA Base
Conversion Calculator

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Boolean Operators

See Switch Logic Simulation

Multiplication (AND)** **Addition (OR)** **Negation (NOT)

0 · 0 = 0 0 + 0 = 0
Not 0 = 1

0 · 1 = 0 0 + 1 = 1
Not 1 = 0

1 · 0 = 0 1 + 0 = 1

1 · 1 = 1 1 + 1 = 1

Note that the **AND** operator "· "
used in Boolean Multiplication operates in a identical manner to the
multiplication operator used in arithmetic. The **OR** operator used in
Boolean addition follows the same rules used in arithmetic addition except 1 + 1
= 1 rather than 2.

The **NOT** operator is often written as bar above the variable.

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Electronic Logic Gates
The three Gates shown schematically below are all that is required to
electronically implement the three Boolean operators (AND, OR, NOT)
electronically. Logic gates can be made with vacuum tubes, relays, or discrete
transistors, but today gates generally reside on Integrated Circuits. Logic
Gates operate in a binary mode where each input and output is in either one of
two states expressed as: 0/1, True/False, High/Low or On/Off.
Truth Tables for GATES
The relationship between inputs and outputs of Gates or the effect of Boolean
operators can be shown with truth tables. The truth tables for the AND, OR, and NOT
operators are shown below.
As in regular algebra there are mathematical rules that must be
followed. The following basic laws are the same for both Boolean and ordinary
algebra.
Commutative Law:
A + B = B + A
Associative Law of Addition
A(B + C)
Associative Law of multiplication
A(BC) = (AB)C
Distributive Law
A(B+C) = AB + AC
Click
Here! to troubleshoot a Comparator circuit problem.
New 2011 Kit format: Preview Free
Kit 8, Beta Version
Consists of one Manual and six simulations.
Download Kit 8!
Metaphor:
Workbench with a Lab Manual and six Electronic Assemblies on it.
I selected Large Icon file viewing mode of Vista to create screen shot
above.The GIF animation
illustrates use of kits. Shows how kits are used. Note animation shows
circuit schematics in manual. Simulations display digital circuit operation as
one would actually see them using a logic analyzer.
New Kit 8: Click
Here for download
Logic Circuits
(New 2011 Format)
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