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Since log() tends to be an expensive routine, much more expensive than type conversions or division, you d expect that cutting the calls to the log() function by half would cut the time required for the routine by about half. Here are the measured results:

See Also For a complete list of MCP exams and their related objectives, go to http://www.microsoft.com/traincert/mcp.

The Internet has revolutionized the way people do business. It hasn t simply changed the way businesses advertise or the way people find information; it has fundamentally changed the way businesses operate and communicate. E-mail, which not too long ago was considered a toy and a luxury, is now a primary com munications medium for business. When was the last time you met a person, bought a product, or requested information and the company or person you were talking to did not ask for your e-mail address Can you imagine trying to conduct business without an e-mail address A business s e-mail address is as much a part of its identity as its phone number, and is likely used as much as or more than its telephone. I receive over 100 e-mail messages a day, compared to one or two phone calls in the same period of time. Email and the Internet give every business an instant global presence and opportu nity, and they expose a company to the dangers of the Internet as well. VPN provides the way to take advantage of all the power the Internet can give you and keep your company s resources secure. However, danger is out there thieves and hackers are looking for ways to grab and control your company s resources! So, how do you make sure the data and operations you place on the Internet are safe, secure, and authenticated Only by ensuring these things can you know who sent information, that information you are receiving or sending was not or will not

Part 2 is organized by the exam s objectives. Each chapter covers one of the primary groups of objectives, called Objective Domains. Each chapter lists the tested skills you need to master to answer the exam questions and includes a list of further readings to help you improve your ability to perform the tasks or skills specified by the objectives. Within each Objective Domain, you will find the related objectives that are covered on the exam. Each objective provides you with several practice exam questions. The answers are accompanied by explanations of each correct and incorrect answer.

Time Savings 38% 28% 39%

The following types of reader aids appear throughout the training kit:

Contains valuable information about possible loss of data; be sure to read this information carefully.

In this case, the educated guess about the relative importance of the division and type conversions and the estimate of 50 percent were pretty close. Considering the predictability of the results described in this chapter, the accuracy of my prediction in this case proves only that even a blind squirrel finds a nut occasionally.

1

Contains critical information about possible physical injury; be sure to read this information carefully.

System routines are expensive and provide accuracy that s often wasted. Typical system math routines, for example, are designed to put an astronaut on the moon within 2 feet of the target. If you don t need that degree of accuracy, you don t need to spend the time to compute it either. In the previous example, the Log2() routine returned an integer value but used a floating-point log() routine to compute it. That was overkill for an integer result, so after my first attempt, I wrote a series of integer tests that were perfectly accurate for calculating an integer log . Here s the code: 2

Contains practical advice about the real-world implications of information presented in the lesson.

Characters or commands that you type appear in bold type. Italic in syntax statements indicates placeholders for variable information. Italic is also used for book titles, URLs, and key words and terms when they are first introduced. Names of files and folders appear in Title caps, except when you are to type them directly. Unless otherwise indicated, you can use all lowercase letters when you type a filename in a dialog box or at a command prompt. Filename extensions appear in all lowercase. Acronyms appear in all uppercase. type represents code samples, examples of screen text, or entries that you might type at a command prompt or in initialization files.

unsigned int Log2( unsigned int x ) {