# hw1 - second class The lightbulb should be lit up when...

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ECEN 248: Introduction to Digital System Design Department of Electrical Engineering Assignment #1 Due Thursday, September 17, 2009 1. [15 points.] Suppose I have a 3-variable function expressed as f = x 1 · x 2 + x 3 · x 1 . Write down The Canonical SOP expression for f The Canonical POS expression for f 2. [10 points.] Consider a function which is expressed as f = x 1 · x 4 + x 3 · x 1 . Draw the truth table of f 3. [10 points.] Draw a circuit which uses switches, with a lightbulb as an output (like we drew in the
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Unformatted text preview: second class). The lightbulb should be lit up when either 1 or two input variables have a ’1’ value. The lightbulb should be turned off at all other times. The three inputs to the circuit are x 1 , x 2 and x 3 . 4. [15 points.] Prove the following theorems • ( x + y ) = x + y • x + x · y = x + y 1...
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