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hw2 - (d Obtain the truth table of the function from the...

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The Hong Kong University of Science and Technology Department of Electronic and Computer Engineering ELEC151 – Digital Circuit and Systems Homework 2 Issue Date: 19-09-2008 Due Date: 26-09-2008 5:00pm *** Except the parts require computer plot, you need to do the homework by hand . *** Please put your assignment into the collection boxes labeled “ELEC151” outside the ECE Departmental General Office, 2 nd Floor, near Lift 25-26 (Outside Rm. 2513). 1. Boolean expression and Design sequence Given the Boolean function: F = xy’z + x’y’z + w’xy +wx’y +wxy (a) Obtain the truth table of the function. (b) Draw the logic diagram using the original Boolean expression. (c) Simplify the function to a minimum number of literals using Boolean algebra.
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Unformatted text preview: (d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). (e) Draw the logic diagram from the simplified expression and compare the total number of gates with the diagram of part (b). 2. Draw the logic diagram of the Boolean expressions Draw the logic diagram corresponding to the following Boolean expressions without simplifying them : (a) BC’+ABD+ACD (b) (A+B)(C+D)(A’+C+B) (c) (AB+A’C’)(CD’+C’B) 3. Try to use only one TTL IC for the following gates: – One 4-input OR gate – One 2-input NAND gate and one 2-input OR gate – One inverter, one 2-input NAND and one 3-input NAND – One 2-input XOR gate and one 2-input XNOR – One 4-input XNOR gate...
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