De Morgan's TheoremsBreak the bar, change the operator — and why NAND and NOR are universal.Electrical EngineeringComplementing a group flips the operatorunderneath it, and complements each term.(A · B)′ = A′ + B′ · (A + B)′ = A′ · B′(AB)′A′ + B′NAND as an OR.(A + B)′A′B′NOR as an AND.(A + B′C)′A′(B + C′)Work outside in.THE COMMON MISTAKE✗ Splitting the bar but keeping the operator✓ Break the bar and change the sign togetherThe operator swaps every time a bar is split. Leaving AND as AND gives anexpression wrong for half the input combinations.This is exactly why NAND and NOR are universal: De Morgan redrawsany network in one gate type without changing behaviour.De Morgan's Theoremslearnposters.com
De Morgan's Theorems — printable engineering wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the De Morgan's Theorems poster

The rule, 3 worked examples, and the mistake everyone makes.

This is exactly why NAND and NOR are universal: De Morgan redraws any network in one gate type without changing behaviour.

Questions about the De Morgan's Theorems poster

What’s on the De Morgan's Theorems poster?
The rule, 3 worked examples, and the mistake everyone makes. Complementing a group flips the operator underneath it, and complements each term.; (A · B)′ = A′ + B′ · (A + B)′ = A′ · B′; (AB)′ = A′ + B′; (A + B)′ = A′B′; (A + B′C)′ = A′(B + C′); Common mistake: Splitting the bar but keeping the operator → Break the bar and change…. This is exactly why NAND and NOR are universal: De Morgan redraws any network in one gate type without changing behaviour.
Who is the De Morgan's Theorems poster for?
De Morgan's Theorems belongs to the Electrical Engineering section rather than to a school year, because engineering is not something one grade owns. Anyone learning digital logic can pin it up — a beginner, a student mid-course, or someone revising years later.
When should you use the De Morgan's Theorems poster?
Use it to convert any AND–OR network into one built from a single gate type. A wall chart earns its place by being glanceable from where the work is happening, so De Morgan's Theorems belongs on the wall where that engineering work actually happens, within glancing distance, rather than filed away.
What other posters go with De Morgan's Theorems?
Adders, Boolean Algebra and Counters & Registers sit alongside De Morgan's Theorems in the Electrical Engineering section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.AddersBoolean AlgebraCounters & Registers
Is the De Morgan's Theorems poster free to download and print?
Yes. De Morgan's Theorems downloads as a free PDF with no account, no email and no watermark, like everything else in the Electrical Engineering section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the De Morgan's Theorems poster print at?
De Morgan's Theorems is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of De Morgan's Theorems loses nothing.Printing guide

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