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Designing Simple Circuits

# Designing Simple Circuits - Mallard ECE 290 Computer...

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Mallard ECE 290: Computer Engineering I - Spring 2007 - Graded Web... https://mallard.cites.uiuc.edu/ECE290/webgrade.cgi?SessionID=mding3... 1 of 3 1/25/2007 11:29 PM Graded WebQuiz: Designing Simple Circuits You have submitted this WebQuiz 1 time (including this time). You may submit this WebQuiz a total of 10 times and receive full credit. Question #1 Design a simple combinational network that receives as input a 3-bit binary number a 2 a 1 a 0 . The network should "evaluate" a 2 a 1 a 0 in order to output f, where f = 1 if and only if the decimal value of a 2 a 1 a 0 is 0 or 3 For instance, the 3-bit binary number a 2 a 1 a 0 = 110 has decimal value 6. (a) Give the truth table for the output f, as a function of a 2 , a 1 , a 0 . (b) Give a boolean expression for f: f(a 2 ,a 1 ,a 0 ) = a2'a1'a0' + a2'a1a0 a 2 a 1 a 0 f 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 (c) Suppose you plan to implement this circuit using only AND, OR, and NOT gates. Although you won't actually draw out the circuit here on Mallard, you should determine the number of gates of each type and the number of inputs each gate will need to have. Restriction: use as

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Designing Simple Circuits - Mallard ECE 290 Computer...

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