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Suppose that you have a computer with a memory unit of 24 bits per word. In this computer, the assembly program’s instruction set consists of 198 different operations. All instructions have an operation code part (opcode) and an address part (allowing for only one address). Each instruction is stored in one word of memory.

a. How many bits are needed for the opcode?

b. How many bits are left for the address part of the instruction?

c. How many additional instructions could be added to this instruction set without exceeding the assigned number of bits? Discuss and show your calculations.

d. What is the largest unsigned binary number that the address can hold?


1 A manufacturer receives a shipment of 500 spare parts from a supplier who claims that the lengths of the spare 1 parts are approximately normally distributed having a mean of 2.5 cm and a standard deviation of 0.04 cm. If the manufacturer takes a 10% random sample from the shipment, what is the probability that he gets the mean length of c. less than 2.58 cm?


D. Solve the following problem.


a. more than 2.54 cm?


b. more than 2.40 cm?


d. between 2.42 and 2.60 cm?


  1. 0.0050 grams of a chemical is dissolved in 75 grams of water. What is the concentration of the chemical in parts per million? 




  1. 0.0050 grams of a chemical is dissolved in 75 grams of water. 


What is the concentration of the chemical in parts per million? 



1.   Calculate the kinetic energy and momentum of a proton traveling 2.90 𝑥 108 𝑚/𝑠.



1.   A box at rest has the shape of a cube 2.6 m on a side. This box is loaded onto the flat floor of a spaceship and the spaceship then flies past us with a horizontal speed of 0.80c. What is the volume of the box as we observe it?



1.   What is the momentum of a proton traveling at 𝑣 = 0.68𝑐?



1.   A certain type of elementary particle travels at a speed of 2.70 𝑥 108 𝑚/𝑠. At this speed, the average lifetime is measured to be 4.76 𝑥 10−6 𝑠. What is the particle’s lifetime at rest?



Given the population: 1,4,6,9 and 10. Suppose sample of size 3 are drawn from this population





Suppose that a statement of the form ∀xP(x) is false. How can this be proved?



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