Recall the basic cpu architecture given in the book and presented in class. as a reminder, the cpu has a pc, ir, and an ac register. you can assume that the pc and ac registers will be initialized to zero when the cpu starts. each instruction is 16 bits long. the first four bits form the opcode, and the rest of the bits form an address to a memory location. there will be a total of 16 (24 ) instructions for this architecture. list eight instructions (not given in the book) for this cpu, and for each instruction, explain what it does and why you feel it is necessary or useful to have it.

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Write a program called assignment3 (saved in a file assignment3.java) that computes the greatest common divisor of two given integers. one of the oldest numerical algorithms was described by the greek mathematician, euclid, in 300 b.c. it is a simple but very e↵ective algorithm that computes the greatest common divisor of two given integers. for instance, given integers 24 and 18, the greatest common divisor is 6, because 6 is the largest integer that divides evenly into both 24 and 18. we will denote the greatest common divisor of x and y as gcd(x, y). the algorithm is based on the clever idea that the gcd(x, y) = gcd(x ! y, y) if x > = y and gcd(x, y) = gcd(x, y ! x) if x < y. the algorithm consists of a series of steps (loop iterations) where the “larger” integer is replaced by the di↵erence of the larger and smaller integer. this continues until the two values are equal. that is then the gcd.

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