ec311hw02 - terms of the inputs A, B, and C from the given...

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EC 311 – Introduction to Logic Design Fall 200 9 Homework Assignment # 2 09/11/09 Due Date: 09/22/09 (in class) *Please show all the steps clearly to receive full credits. (e.g. the final optimized answer, the truth table, the Boolean function, etc.) **You must come up with and write-up the solutions on your own. Identical homework with the same mistakes will be investigated for cheating. 1. Problem 1: Draw the schematics for the following functions using AND, OR and NOT gates. Do not simplify. (i) A'B + (AC)' + BC' (ii) ((A+B')C) ' + (A'C)' 2. Problem 2: Express the following Boolean functions in canonical sum-of-minterms form. (i) (A+BC)D'+(A+C)'(B+D) (ii) ((A+BC) '(A'+B+C))' 3. Problem 3: Simplify the following Boolean functions using theorems and laws of Boolean algebra. (i) (A+C)B+(A+B')' (ii) ((AB+C)'+((B+C)'+(B'+C)'))' 4. Problem 4: Write the Boolean expressions in SOP forms for the outputs X and Y in
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Unformatted text preview: terms of the inputs A, B, and C from the given truth table. The more optimized the final expression is, the more credit you will get. A B C X Y 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 1 1 1 0 1 5. Problem 5: Create a 4-bit number detector with NAND and NOT only. The circuit has four inputs N3,N2,N1 and N0 that correspond to a 4-bit unsigned number (N3 is the most significant bit) and one output named P that outputs a 1 when the input is greater than zero and is a multiple of 3 or 4. Otherwise, it outputs 0. 6. Problem 6: Design a circuit that turns on or off a hall light based on the configuration of three control switches. If at least two of the control switches are on at the same time, the light is off. If all the control switches are off, the light is off. Otherwise, the light is on. Start with a truth table. Use NOR and NOT only. ec311hw02 9/11/2009...
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