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ece230-test1-spring2009 - complemented forms 2(25 points...

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1 of 2 Boise State University Department of Electrical and Computer Engineering ECE 230 Digital Systems Test 1, Date: February 25, 2009, Location: ET 110, Time: 1:40pm to 2:30pm Name: ______________________________ Instructions : Show all steps and logic circuits for full or partial credits. It is very important that you write clearly, so that your test can be graded appropriately and fairly. This is a closed book and closed notes test. ABSOLUTELY NO calculator. 1. (30 points) For the following timing diagram: a. Synthesize the simplest sum-of-products for f ( x 1 , x 2 , x 3 , x 4 ) b. Synthesize the simplest product-of-sums for f ( x 1 , x 2 , x 3 , x 4 ) c. Calculate the cost of ( 1.a ) and ( 1.b ), assume that the input variables are available in both un-complemented and
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Unformatted text preview: complemented forms. 2. (25 points) NOR gates only. Re-implement the following logic circuit using NOR gates only. How many NOR gates do you have in your implementation? 3. (30 points) Design the simplest circuit that has three inputs, x 1 , x 2 , and x 3 , where x 1 is MSB and x 3 is LSB. The output must have the value of 1 when at least two of the inputs are equal 0. Note: Show the simplest logic equation (SOP or POS ?) 4. (15 points) Binary, decimal, octal, and hexadecimal a. Convert decimal number 37 10 to binary, octal, and hexadecimal representations. b. Convert these binary numbers 01001001 2 and 101001101 2 into hexadecimal representation....
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