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Boolean Algebra
Wikipedia
In my previous career field, electronics, we used a simplified form of Boolean logic to design/simplify logic circuits using what are called "and" and "or" gates.
https://en.wikipedia.org/wiki/Boolean_algebra#/media/File:LogicGates.GIF
The first symbol is an And gate, the second an Or gate. Placing an o at the output of either gate transforms the inputs to a negative output, a Nand and Nor gate, respectively.
The equations are simple.
AB=A and B, an And gate. Means A input plus B input=AB And gate output.
A+B=A or B, an Or gate. Means A positive A input or a positive B input= Or gate output. Somewhat counterintuitive.
Truth Table for various types of gates, the symbols typically used in the their formulas and the accompanying truth tables:
The 0s=negatives, the 1s=positives and the o on the output means the inverse of the normal function.
Similar to grammar rules, 2 negatives, in a formula, equal a positive, therefore 3 negs=pos and so on.
2 pos=2 pos and 3 pos=pos, etc, as for normal positive integer math.
There are special symbols to represent certain electronics equation in text form, but it's proven too much of a pain to find and post them here. grin.
Basically, if you can perform basic math you can engage in this form of algebra. It takes maybe a few hours, at most, to get it down.
Enjoy!
Wikipedia
In my previous career field, electronics, we used a simplified form of Boolean logic to design/simplify logic circuits using what are called "and" and "or" gates.
https://en.wikipedia.org/wiki/Boolean_algebra#/media/File:LogicGates.GIF
The first symbol is an And gate, the second an Or gate. Placing an o at the output of either gate transforms the inputs to a negative output, a Nand and Nor gate, respectively.
The equations are simple.
AB=A and B, an And gate. Means A input plus B input=AB And gate output.
A+B=A or B, an Or gate. Means A positive A input or a positive B input= Or gate output. Somewhat counterintuitive.
Truth Table for various types of gates, the symbols typically used in the their formulas and the accompanying truth tables:
The 0s=negatives, the 1s=positives and the o on the output means the inverse of the normal function.
Similar to grammar rules, 2 negatives, in a formula, equal a positive, therefore 3 negs=pos and so on.
2 pos=2 pos and 3 pos=pos, etc, as for normal positive integer math.
There are special symbols to represent certain electronics equation in text form, but it's proven too much of a pain to find and post them here. grin.
Basically, if you can perform basic math you can engage in this form of algebra. It takes maybe a few hours, at most, to get it down.
Enjoy!
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