Download Discrete Mathematics for Computing (3rd Edition) by Peter Grossman PDF

By Peter Grossman

Discrete arithmetic for Computing provides the fundamental arithmetic wanted for the learn of computing and data platforms. the topic is roofed in a steady and casual type, yet with no compromising the necessity for proper technique. it's ideal for college students with a constrained historical past in mathematics.

This new version includes:

- An extended part on encryption
- extra examples of the ways that idea could be utilized to difficulties in computing
- Many extra routines protecting a number degrees, from the fundamental to the extra advanced

This ebook is perfect for college kids taking a one-semester introductory direction in discrete arithmetic - really for first 12 months undergraduates learning Computing and knowledge Systems.

PETER GROSSMAN has labored in either educational and business roles as a mathematician and computing specialist. As a lecturer in arithmetic, he was once liable for coordinating and constructing arithmetic classes for Computing scholars. He has additionally utilized his abilities in components as assorted as calculator layout, irrigation structures and underground mine layouts. He lives and works in Melbourne, Australia.

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Extra info for Discrete Mathematics for Computing (3rd Edition)

Example text

0387 42 Computer representation and arithmetic 11 Repeat Exercise 9 for a 32-bit computer in which 12 bits are used for the characteristic, and the exponent bias is 211 – 1. 12 Find, in decimal form, the approximate range of positive real numbers that can be represented in 64 bits, where 11 bits are used for the characteristic, and the exponent bias is 210 – 1. 1. Explain the problem that might arise if the algorithm is implemented on a computer: 1. 0 2. 1. x ¬ x +01 . 2. 3. 0 Rewrite the algorithm so that the problem is avoided.

2 40 Digit BCD code 0 0000 1 0001 2 0010 3 0011 4 0100 5 0101 6 0110 7 0111 8 1000 9 1001 Computer representation and arithmetic The BCD representation of a non-negative integer is obtained by replacing each decimal digit by its BCD code. For example, the BCD representation of 8365 is: 1000 0011 0110 0101 BCD arithmetic is essentially decimal arithmetic done according to the familiar rules, but with BCD codes in place of the digits. We shall illustrate this by investigating the addition of two numbers in the BCD system.

The sentence about Brian and Angela is an example of a compound proposition. It is built up from the atomic propositions ‘Brian is happy’ and ‘Angela is happy’ using the words and, or, not and if-then. These words are known as connectives. As we will see, the role of connectives in logic is analogous to the role played by operations such as + and × in algebra. The study of the structure of compound propositions is made easier by the use of symbols for atomic propositions and connectives. We will use lower-case letters such as p, q and r to denote atomic propositions.

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