csse232_hw0_soln - Fall 2009-2010 CSSE 232 CSSE 232...

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Unformatted text preview: Fall 2009-2010 CSSE 232 CSSE 232 Computer Architecture I Rose-Hulman Institute of Technology Computer Science and Software Engineering Department Homework 0 Solutions Combinational Logic 1. (4 points) Design a digital logic circuit that implements the 4-input Boolean function described by the truth table below. You may use three inverters to complement the inputs and up to four other gates. x x 1 x 2 x 3 f( x , x 1 , x 2 , x 3 ) 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 The Karnaugh map for this truth table is: 00 01 11 10 00 01 11 10 0 0 0 0 0 1 1 1 1 1 1 x x 1 x 2 x 3 20 October 2009 Page 1 Fall 2009-2010 CSSE 232 Which yields a boolean expression of F = x x 1 + x x 2 x 3 + x 1 x 2 x 3 and the follwing combinational logic circuit. x x 1 x 2 f x 3 2. (4 points) Explain why each of the following statements about full adders is false. The inputs are A, B, and C i and the outputs are O and C o . (a) O is true if and only if exactly one of the inputs is 1. (b) C o is true if and only if exactly two of the inputs are 1. The truth table for a full adder is: A B C i O C o 1 1 1 1 1 1 1 1 1 1 1 1 1 1 The last line of the truth table makes both statements are false....
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This note was uploaded on 12/04/2009 for the course ECE 471 taught by Professor Someprofessor during the Spring '09 term at Cornell University (Engineering School).

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csse232_hw0_soln - Fall 2009-2010 CSSE 232 CSSE 232...

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