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Digital Logice HW 1

# Digital Logice HW 1 - (x = 4 Draw a timing diagram for the...

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Homework Homework due Wednesday, 01/28 at 7:45AM in class. 1. Determine if the following expression is valid by using a truth table and by using algebraic manipulation: X1X3’ + X2X3 + X2’X3’ = (X1 + X2’ + X3)(X1 + X2 + X3’)(X1’ + X2 + X3) 2. Use algebraic manipulation to show if x’ ( y’ + z’ ) = x’ y’ + x’ z’ 3. Problem 2.6. Use the Venn Diagram to prove that 2 1 3 2 1 3 2 1 x x ) x x ) (x x x
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Unformatted text preview: (x + = + + + + 4. Draw a timing diagram for the circuit in figure 2.19a from the text and also shown below. Show the waveforms that can be observed on all wires in the circuit. 5. Use algebraic manipulation to show that for three input variables x 1 , x 2 , and x 3 : ( ) 3 2 1 6 , 5 , 4 , 3 , 2 , 1 , x x x M = ∏ You need to show all your work; otherwise no points will be given....
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