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Q6-A-8 points  In a certain state, all license plates consist of from 4 to 6 symbols chosen from the 26 letters together with the ten digits (0-9) a) How many license plates are possible, repetition allowed? b) How many license plates have at least one repeated symbol?  

Convert -12210 to an 8-bit two’s complement number (ex: “01101110”)

Q12-B-7 points Find the coefficient of when the following expression is expanded using the Binomial theorem:

Q7-A-8 points A group of 10 students is available. A team of 4 students is to be selected and then arranged in a line for a photo. In how many ways can this be done?

Q1-B-7 points Determine whether the relation D is reflexive, symmetric, transitive, or none and justify your answer: Let D represent the ‘divides’ relation on the set of positive integers   . For all m, n 

Q11-B-8 points Does the following graph have an Euler Circuit? If not, add extra edges to make it an Eulerian Graph. Explain. Set of Vertices V={A,B,C,D,E} Set of Edges E={ AB, AE, AD, AC, BC, BD, BE, CD}.      

Suppose the supply voltage in a digital circuit, VDD, is doubled (VDD is now twice what it was before). If nothing else changed, how does that affect the power consumption?

Given: 101010102  is an 8-bit unsigned binary number. What is its value in decimal (ex: “-25”, “45”)

Suppose the capacitance in a digital circuit is cut in half (the capacitance is now half what it was before). If nothing else changed, how does that affect the power consumption?

Given: 110011002  is an 8-bit two’s complement number. What is its value in decimal (ex: “-25”, “45”)