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The page number can become a quick index into the process page table, and the offset remains simply the address of the reference within the page/frame For instance, if a 32-bit system (addresses are 32 bits long) has a frame size of 4K, it means that 12 bits of the address are required for the offset within the page (212 = 4096 bytes on a page) The low-order (least significant) 12 bits of the address become the offset, and the high-order (most significant) 20 bits become the page number Suppose the process references memory location 1424 Since that number is less than 4096, the reference is to page 0, the first page The number 1424 represented as a 32-bit binary number is the following (for readability, the address is broken into bytes, and the page number field is underlined): 00000000 00000000 00000101 10010000.

public class TestHanoiTowers { public static void main(String[] args) { HanoiTowers(3, 'A', 'B', 'C'); } public static void HanoiTowers(int n, char x, char y, char z) { if (n==1) { // basis System.out.printf("Move top disk from peg %c to peg %c.%n", x, z); } else { HanoiTowers(n-1, x, z, y); // recursion HanoiTowers(1, x, y, z); // recursion HanoiTowers(n-1, y, x, z); // recursion } } }

CHAP. 9]

CHAP. 6]

SAY IT LIKE OBAMA AND WIN!

The output is:

Move Move Move Move Move Move Move top top top top top top top disk disk disk disk disk disk disk from from from from from from from peg peg peg peg peg peg peg A A C A B B A

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A ROADMAP After reading this chapter, you should realize that there is much more to computer science than simply writing programs Like any professional, a computer scientist must have an understanding of all of the subdisciplines of the field Some of the major disciplines of computer science are algorithms, programming, programming languages, computer hardware, networking, operating systems, database systems, distributed computing, and the ethical issues surrounding the use of computer technology There are two major schools of thought when it comes to the education of computer scientists The depth-first approach is to study one particular topic in depth For example, many computer science degree programs start out with a course in programming After taking such a course, students will be proficient programmers, but clearly they will not have enough knowledge of the other subdisciplines of the field to be considered computer scientists.

To solve the problem for three disks, the call at line 3 passes 3 to n, 'A' to x, 'B' to y, and 'C' to z. Since n > 1, line 10 executes next, passing 2 to n, 'A' to x, 'B' to z, and 'C' to y. Again, since n > 1, line 10 executes next, passing 1 to n, 'A' to x, 'B' to y, and 'C' to z. In that call, n = 1, so line 8 executes, printing the first line of output:

A second approach is to cover many of the subdisciplines of computer science, but only to the depth required to teach a basic understanding of the principles of each discipline After obtaining an overall view of the field, students will then study certain subdisciplines in depth This is referred to as the breadth-first approach, and is the approach we chose to use in this book The organization of this text follows the description of computing given in the first section of this chapter It begins with a discussion of algorithms, how they are developed, and how they may be compared We also introduce a formal model of computation After reading this chapter you will have a basic understanding of algorithm development and will be able to develop algorithms to solve simple problems After studying algorithms, the text will focus on the basics of computer hardware.

That call returns to where the previous call left off at line 10, proceeding to line 11, where n = 2, x = 'A', y = 'C', and z = 'B'. That prints the second line of output:

Then line 12 executes, this time passing 1 to n, 'C' to x, 'A' to y, and 'B' to z. In that call, n = 1 again, so line 8 executes, printing the third line of output:

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