Useful NAND building blocks

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What is the Boolean equation for an inverter using only NAND logic?
The Boolean equation for an inverter using only NAND logic is .

What is the Boolean equation for an AND gate using only NAND logic?
The Boolean equation for an AND gate using only NAND logic is .

What is the Boolean equation for an OR gate using only NAND logic?
The Boolean equation for an OR gate using only NAND logic is .

What is the Boolean equation for a NOR gate using only NAND logic?
The Boolean equation for a NOR gate using only NAND logic is .

Summary

NAND Inverter: .
NAND AND: .
NAND OR: .
NAND NOR: .

Useful NOR building blocks

What is the Boolean equation for an inverter using only NOR logic?
The Boolean equation for an inverter using only NOR logic is .

What is the Boolean equation for an AND gate using only NOR logic?
The Boolean equation for an AND gate using only NOR logic is .

What is the Boolean equation for an OR gate using only NOR logic?
The Boolean equation for an OR gate using only NOR logic is .

What is the Boolean equation for a NAND gate using only NOR logic?
The Boolean equation for a NAND gate using only NOR logic is .

Summary

NOR Inverter: .
NOR AND: .
NOR OR: .
NOR NAND: .

NAND / NOR Implementation

What type of Boolean equation should you convert to NAND logic?
The type of Boolean equation you should convert to NAND logic is Sum of Product (SOP).

What type of Boolean equation should you convert to NOR logic?
The type of Boolean equation you should convert to NOR logic is Product of Sum (POS).

Summary

SOP equations should convert to NAND.
POS equations should convert to NOR.

Back to basics: forming Boolean function from truth table

In the equation , what do the numbers within represent?
In the equation , the numbers within represent the row numbers of the truth table where the minterm .

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K-Map

What are the coordinates of each cell in a 4x4 Karnaugh map?
The coordinates of each cell in a 4x4 Karnaugh map are:

\ 00 01 11 10
00 0 4 12 8
01 1 5 13 9
11 3 7 15 11
10 2 6 14 10

What do the coordinates of each cell in a Karnaugh map correspond to?
The coordinates of each cell in a Karnaugh map correspond to the row number of a truth table.

Can you group the corners of a Karnaugh map together horizontally / vertically?
Yes, you can group the corners of a Karnaugh map together horizontally / vertically.