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hw1-solutions

# The fourth edition uses the same equation that was

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Unformatted text preview: edition text. I did not deduct points for using this equation with any assumed N value from 11.5 to 15.5) DY = (1 + .75 * 1.99 / 4) ^ -4 = 0.2813 Note the use of 1.99 cm2 representing 1 core of size 199 mm2 If you assumed two cores fitting into a single 199 mm2 die, the equation is: DY = (1 + .75 * 0.995 / 4) ^ -4 = 0.5045 In this case, the DY is the probability that 1 core is good. There are 2 ways to find the yield for a dual core chip. The probability of both cores being good, plus the probability of core A being good while core B is bad, plus the probability of core A being bad while core B is good. Alternately, you can use 1 the probability of both cores being bad. First approach: P * P (both good) + P * (1 P) (A good, B bad) + (1-P) * P (A bad, B good) 0.2813 * 0.2813 + 2 * (1 0.2813) * 0.2813 = 0.4835 Second approach: 1 ((1 P) (A bad) * (1 P) (B bad)) 1 (1 0.2813) * (1 0.2813) = 1 (.7187) ^ 2 = 0.4835 If you assumed both cores fit into a single 199 mm2 die the probability of at least 1 good core is 0.7545 CSCE 4610...
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