1. Design a counter which counts 0, 4, 8, 2, 6, and repeats
using:
1.a using JK flip flops
1.b using T flip flops
1.c using D flip flops
2. Modify your design in question 1.a so that the circuit
works according to the following function table
X Y F
0 0 Clear
0 1 No Change
1 0 Parallel Loading
1 1 Count
3. Design a circuit that detects the pattern 010 in a serial
input X considering:
3.a Overlapping
3.b No overlapping
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Paul the octopus who has been forecasting the outcome of FIFA world cup matches with tremendous accuracy has now been invited to predict ICC world cup matches in 2011. We will assume that the world cup contenders have been divided into 2 groups of 9 teams each. Each team in a group plays the other teams in the group. The top two teams from each group enter the semi finals ( after which the winner is decided by knockout). However, Paul has a soft spot for India and when India plays any team, Paul always backs India. Alas, his predictions on matches involving India are right only 2 out of 3 times. In order to qualify for the semi finals, it is sufficient for India to win 7 of its group matches. What is the probability that India will win the ICC world cup?
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