4047656885 - CEG/EE 260 HW #2 Winter2010 Due Jan. 25th,...

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CEG/EE 260 HW # 2 Winter2010 Due Jan. 25th, 2010 (Monday) ,   Beginning of Class 1. (10 points).Write the logic equation for the following logic diagram and draw a timing diagram that depicts the value of the circuit output Y for all possible combinations of the inputs A, B, and C generated by the circuit shown below. 2. (10 points) Draw the truth table and the logic diagram for the following Boolean functions. (1) F(A,B,C)= A’BC +AB’C (2) F(A,B,C)=A’BC’+AB’+B’C’ 3.(15 points) (1) Prove the second distributive law X+YZ=(X+Y)(X+Z) by truth table. (2) Prove the second distributive law X+YZ=(X+Y)(X+Z) by perfect induction. 4. (25 points) Prove the following Boolean Equations using algebra manipulation. (1) (5 points) X’Y’+X’Y+XY=X’+Y (2) (5 points) Y+X’Z+XY’=X+Y+Z (3) (5 points) X’Y’+Y’Z+XZ+XY+YZ’=X’Y’+XZ+YZ’ (Hints: the easy way to solve this problem is to apply Consensus Theorem twice). (4) (10 points) AB +BC’D’+A’BC+C’D=B+C’D
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This note was uploaded on 05/03/2010 for the course CEG 260 taught by Professor Staff during the Spring '08 term at Wright State.

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4047656885 - CEG/EE 260 HW #2 Winter2010 Due Jan. 25th,...

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