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Episode 4.10 – More Boolean SimplificationsTarnoff, David 01 January 2020 (has links)
Because many students have trouble when trying to simplify Boolean expressions, we’re going to dedicate another episode to examples of simplification. We’re also going to show how sometimes, there’s more than one way to crack an egg.
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Episode 5.01 – The Sum-of-Products ExpressionTarnoff, David 01 January 2020 (has links)
Who knew how easy it would be to derive a Boolean expression from a truth table? By following a few simple steps, sum-of-products expressions are quickly converted to and from truth tables. In addition, the SOP expression is a heck of a performer.
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Episode 5.02 – NAND LogicTarnoff, David 01 January 2020 (has links)
The NAND gate outputs a logic zero only when all its inputs equal logic one. Let’s explore how this universal gate can be used to implement any Boolean expression.
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Episode 5.03 – The Product-of-Sums ExpressionTarnoff, David 01 January 2020 (has links)
Now that we’ve studied the sum-of-products form of Boolean expressions, it’s time to take a look at the product-of-sums. This form uses logical OR’s to generate zeros which are passed to the output through an AND gate.
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Episode 6.01 – Introduction to Karnaugh MapsTarnoff, David 01 January 2020 (has links)
Here we introduce a graphical tool that when used correctly will produce a most simplified sum-of-products expression, all without meddling in any simplification of Boolean expressions.
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Episode 6.04 – Four-Variable Karnaugh Map ExampleTarnoff, David 01 January 2020 (has links)
Many digital designs begin with a truth table. In this episode, we do just that, and then create the simplified sum-of-products expression by way of the Karnaugh map.
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Episode 6.05 – Don’t Cares, the Logical KindTarnoff, David 01 January 2020 (has links)
Like a wild card in a game of poker, an unspecified truth table entry called a “don’t care” can make our sum-of-products expressions so much nicer.
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Episode 6.06 – Don’t Cares as InputsTarnoff, David 01 January 2020 (has links)
This short episode shows how a complicated truth table can be clarified by using “don’t cares” to represent input values.
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Episode 6.08 – Binary DecodersTarnoff, David 01 January 2020 (has links)
What does it take to switch on a device? In some cases, like getting a soda from a vending machine, a number of conditions must be just right. That’s where binary decoders come in.
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Episode 7.01 – The Need for Bitwise OperationsTarnoff, David 01 January 2020 (has links)
All areas of computing, from data compression to web design, from networking to digital image storage, from system administration to high-performance computing, benefit from bit manipulation.
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