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ECE422_hw1

# ECE422_hw1 - ECE 422 Homework#1 Dr R Roosta 1 Design a BCD...

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ECE 422 Homework #1 Dr. R. Roosta 1) Design a BCD to Decimal decoder. 2) Design a BCD to Seven Segment decoder circuit for displaying decimal digits. 3) Design a combinational circuit that converts a decimal digit from the 2,4,2, 1 code to 8,4, -2, -1 code. 4) Design a module-8 counter which counts in the way specified below. (use JK FF's) Decimal Gray Code 0 000 1 001 2 011 3 010 4 110 5 111 6 101 7 100 5) Analyze the synchronous circuit below (clock is not shown but it is implicit ). a) Write down the excitation and output function. b) Form the excitation and state tables. c) Give a word description of the circuit operation. 0 1

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EE 422 Homework #1 Dr. R. Roosta 6) Determine the P.I.’s of the function: = ) 15 , 11 , 10 , 9 , 8 , 7 , 6 , 4 , 1 ( ) , , , ( D C B A F 7) Determine the output F 1 , F 2 , and F in the circuits shown below: 8) Draw the logic diagram of an Exclusive-OR by using NAND gates. 9) Obtain the simplified expressions in S.O.P. for the following functions: a) D B A D C A B A D C A ABD + + + + b) ) ( Y X Y X W Y X W Z X + + + c) ABC C B C B C + + + A 2

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EE 422 Homework #1 Dr. R. Roosta 13) A sequential circuit ( SISO ) has the following state diagram. Design this
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• Spring '10
• Computerarchitecture
• Numerical digit, Binary numeral system, Binary-coded decimal, Ternary numeral system, Dr. R. ROOSTA

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