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# Studio_3 - circuit with a timing diagram showing it...

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Studio Exercise 3 ECSE-2610 Computer Components & Operations Rensselaer Polytechnic Institute Feb. 8, 2005 Put your name etc etc on all sheets you hand in. Studio due at the end of this session. 1. [5 points] Assume that you have only AND gates with exactly 4 inputs. However you want to compute A * B * C, where '*" represents AND operation, that is, take the AND of only 3 variables. Draw a LogicWorks circuit that does this. Hand in a printout of the circuit. 2. [5] Assume that you have only AND gates with exactly 4 inputs. However you want to compute A*B*D*E*F*G*H, that is, take the AND of 8 variables. Draw a LogicWorks circuit that does this Hand in a printout of the circuit. 3. [5] In LogicWorks, connect three inverters in order, then connect the output of the last one back as the input of the first. Figure out how to initialize it so that it starts oscillating. What determines the cycle time? Hand in a printout of the

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Unformatted text preview: circuit, with a timing diagram showing it oscillating. Would it still oscillate with four inverters, instead of three? 4. [2 points] According to Wakerly 3.5.8, what are two ways to destroy a CMOS device? 5. [3] Name 3 things that can happen if you exceed a devices' maximum fanout. 6. [1] Why do logic designers prefer NAND and NOR gates to AND and OR gates? 7. [1] What is the difference between positive and negative logic? 8. [3] Use axioms and theorems of switching logic to prove X + X' · Y + X' · Y · Z = X + Y. 9. [3] Now, use a truth table to verify the previous equation. 10. [3] Use deMorgan's theorem again and again on this expression, until every negation is over only one term. ((A · H + B') · F' · (C' · D' + E)' · G')' 11. [4] Rewrite the following as the algebraic sum of minterms, and then again as the algebraic product of maxterms. A · B + A · C + B · C +CD...
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Studio_3 - circuit with a timing diagram showing it...

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