HW4_Solutions

HW4_Solutions - ECE 2030 E,F Homework #4 - Solutions (1)...

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Unformatted text preview: ECE 2030 E,F Homework #4 - Solutions (1) Textbook #3-1 Design a 3-input majority function. Start with a Truth Table, then use a 3-variable K-map to minimize the solution. XYZ(Inputs) Majority(Out) 000 001 010 011 1 100 101 1 110 1 111 1 So Majority(X,Y,Z) = XZ +XY +YZ----------------------------------------------------------------------------------------------------------- (2) Textbook #3-3 Design an Excess-3 to BCD code converter that outputs 0000 for invalid input codes. Start by rearranging the codes in Table 3-1 (page 99) to obtain a Truth Table: ABCD (Excess-3 Inputs) WXYZ(BCD Outputs) 0000 0000 (Invalid Input code) 0001 0000 (Invalid Input code) 0010 0000 (Invalid Input code) 0011 0000 0100 0001 0101 0010 0110 0011 0111 0100 1000 0101 1001 0110 1010 0111 1011 1000 1100 1001 1101 0000 (Invalid Input code) 1110 0000 (Invalid Input code) 1111 0000 (Invalid Input code) Then make four K-Maps (one for each of WXYZ) to find minimum SOP: W= ABCD+ABCD, X=ABCD+ABC+ABD, Y= m(5,6,9,10), Z=ABD+BCD+ABD (3) Textbook #3-8 Design a 3-input Square function (with 6-bit output). Start with a Truth Table, then use a K-map to minimize the solution....
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This note was uploaded on 01/16/2012 for the course ECE 2030 taught by Professor Wolf during the Fall '07 term at Georgia Tech.

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HW4_Solutions - ECE 2030 E,F Homework #4 - Solutions (1)...

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