03 - 17-Aug-106:04 PM Logic EEL 3701 EEL 3701: Digital...

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17-Aug-10—6:04 PM Logic 1 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo EEL 3701: Digital Logic & Computer Systems EEL 3701 Menu • Introduction to Logic Design • Informal Intro to Boolean Algebra >Propositions >Operators >Truth Tables Look into my . .. 1 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo EEL 3701: Digital Logic & Computer Systems EEL 3701 Introduction to Logic Design Let’s logically analyze a simple paragraph • Let s logically analyze a simple paragraph: When I forget my umbrella and it rains, I get wet. I also get wet when I 2 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo stick my foot in the bathtub when it has already been filled.
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17-Aug-10—6:04 PM Logic 2 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo EEL 3701: Digital Logic & Computer Systems EEL 3701 Logically Analyzing a Paragraph When I forget my umbrella and it rains, I get wet. I also OUTPUT: • The “output” of this paragraph is “getting wet” get wet when I stick my foot in the bathtub when it has already been filled. 3 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo 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 EEL 3701: Digital Logic & Computer Systems EEL 3701 Logically Analyzing a Paragraph When I forget my umbrella and it rains, I get wet. I also INPUT: • Each condition is made of of two “inputs” >It rains and I forget my umbrella get wet when I stick my foot in the bathtub when it has already been filled. 4 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo – It rains – Forget umbrella >The bathtub is filled and I stick my foot in it – Bathtub filled – Put foot in it
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17-Aug-10—6:04 PM Logic 3 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo EEL 3701: Digital Logic & Computer Systems EEL 3701 Signal Abbreviations When I forget my umbrella and it rains, I get wet. I also • Let’s abbreviate the inputs and outputs >Output: –Wet get wet when I stick my foot in the bathtub when it has already been filled. 5 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo >Inputs: – Rain (it rains) – NoUm (forget umbrella) – Fill (bathtub filled) – FootIn (put foot in it) EEL 3701: Digital Logic & Computer Systems EEL 3701 Writing an Equation When I forget my umbrella and it rains, I get wet. I also • Write an “equation” for the paragraph get wet when I stick my foot in the bathtub when it has already been filled. 6 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo Wet =( ) OR ( ) Rain AND NoUm Fill AND FootIn
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17-Aug-10—6:04 PM Logic 4 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo EEL 3701: Digital Logic & Computer Systems EEL 3701 Logical Values • Every logical variable (e.g., Rain, NoUm, . .., Wet) has two possible value has two possible values >True >False • The logical abbreviations are: >True: Tor1 > False For0 7 University of Florida, EEL 3701 – File 03 © Drs. Schwartz & Arroyo > False: F or 0 EEL 3701: Digital Logic & Computer Systems EEL 3701
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03 - 17-Aug-106:04 PM Logic EEL 3701 EEL 3701: Digital...

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