DeMorgan’s Theorems

Code 216 DeMorgan’s Theorems

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A mathematician named DeMorgan developed a pair of important rules regarding group complementation in Boolean algebra. By group complementation, I’m referring to the complement of a group of terms, represented by a long bar over more than one variable.

Kits DescriptionPrice
Ready-made Project + DIY Project Kit
If You Are An Enthusiast
Ready-made project kit, One more extra bare PCB solderable components for extra PCB, All documentation (Report, PPT, Circuit diagram, Program code, explanatory video ), Audio and video call support, and One year warranty. $19.23 $11.42
Ready-made Project
If You Are Short On Time
Ready-made project kit - All documentation (Report, PPT, Circuit diagram, Program code, explanatory video ), Audio and video call support, One year warranty. $14.42 $8.41
DIY Project Kit
For Institutions
DIY KIT - Bare PCB, solderable components, external all components, All documentation (Report, PPT, Circuit diagram, Program code, explanatory video ), Audio and video call support, $10.22 $6.61
For Documentation
(Report, PPT, Circuit diagram, Program code, Explanatory Video). Audio and video call support. $5.41 $4.21
For Simulation
Proteus Simulation file, Program Coad, Hex File, Explanatory Video, Google Meet Or Zoom Meet Support. $48.08 $36.06

Description

A mathematician named DeMorgan developed a pair of important rules regarding group complementation in Boolean algebra. By group complementation, referring to the complement of a group of terms, represented by a long bar over more than one variable.

logic gates that inverting all inputs to a gate reverses that gate’s essential function from AND to OR, or vice versa, and also inverts the output. So, an OR gate with all inputs inverted (a Negative-OR gate) behaves the same as a NAND gate, and an AND gate with all inputs inverted (a Negative-AND gate) behaves the same as a NOR gate. DeMorgan’s theorems state the same equivalence in “backward” form: that inverting the output of any gate results in the same function as the opposite type of gate (AND vs. OR) with inverted inputs.

HIGHLIGHTS

  • Important rules regarding group complementation
  • Logic gates that inverting all inputs to a gate reverses that gate’s essential function from AND to OR, or vice versa
  • DeMorgan’s theorems state the same equivalence in “backward”

BLOCK DIAGRAM

HARDWARE REQUIREMENTS

  • IC 7400
  • IC 7432
  • IC 7404

SOFTWARE REQUIREMENTS

  • Eagle

RESOURCES

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