03 - logig - 11-Jan-069:08 AM Logic EEL 3701 EEL 3701:...

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11-Jan-06—9:08 AM 1 1 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo Logic EEL 3701: Digital Logic & Computer Systems 1 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo EEL 3701 Menu • Introduction to Logic Design • Informal Intro to Boolean Algebra >Propositions >Operators >Truth Tables Look into my . .. EEL 3701: Digital Logic & Computer Systems 2 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo EEL 3701 Introduction to Logic Design • Let’s logically analyze a simple paragraph: When I forget my umbrella and it rains, I get wet. I also get wet when I rains, I get wet. I also get wet when I stick my foot in the bathtub when it stick my foot in the bathtub when it has already been filled. has already been filled.
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11-Jan-06—9:08 AM 2 2 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo Logic EEL 3701: Digital Logic & Computer Systems 3 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo EEL 3701 Logically Analyzing a Paragraph OUTPUT: • The “output” of this paragraph is “getting wet” • I get wet under either of two specified conditions >It rains and I forget my umbrella >The bathtub is filled and I stick my foot in it When I forget my umbrella and it rains, I get wet. I also When I forget my umbrella and it rains, I get wet. get wet when I stick my foot in the bathtub when it has already been filled. EEL 3701: Digital Logic & Computer Systems 4 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo EEL 3701 Logically Analyzing a Paragraph INPUT: • Each condition is made of of two “inputs” >It rains and I forget my umbrella – It rains – Forget umbrella >The bathtub is filled and I stick my foot in it – Bathtub filled – Put foot in it When I forget my umbrella and it rains, I get wet. I also When I forget my umbrella and it rains, I get wet. get wet when I stick my foot in the bathtub when it has already been filled.
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11-Jan-06—9:08 AM 3 3 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo Logic EEL 3701: Digital Logic & Computer Systems 5 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo EEL 3701 Signal Abbreviations • Let’s abbreviate the inputs and outputs >Output: –Wet >Inputs: – Rain (it rains) – NoUm (forget umbrella) – Fill (bathtub filled) – FootIn (put foot in it) When I forget my umbrella and it rains, I get wet. I also When I forget my umbrella and it rains, I get wet. I also get wet when I stick my foot in the bathtub when it has get wet when I stick my foot in the bathtub when it has already been filled. already been filled. EEL 3701: Digital Logic & Computer Systems 6 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo EEL 3701 Wet = Wet = Writing an Equation • Write an “equation” for the paragraph When I forget my umbrella and it rains, I get wet. I also When I forget my umbrella and it rains, I get wet.
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03 - logig - 11-Jan-069:08 AM Logic EEL 3701 EEL 3701:...

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