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Show that the integer m with two's complement

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 45E Chapter 4.2

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 45E

Show that the integer m with two's complement representation (an-1an-2···a1a0) can be found using the equation m =- an-1·2n-1 + an-22n-2+··· +a1.2+a0.

Step-by-Step Solution:
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MATH121 Chapter 2 Notes LESSON 2.1 – Linear Equations in One Variable Example 1. 6(5x - 5) = -31(3 - x) (Multiply 6 and 5x, and 6 and -5) (Multiply -31 and 3, and -31 and –x) 30x - 30 = -93 + 31x (Get similar values on same sides) -x = -63 (Divide by -1 to get x by itself) x = 63 (One Solution!) Example 2. 3.4x + 5 = 4.4x (Subtract 3.4x from 4.4x to get the similar values on the same side) 5 = x (One solution!) Example 3. (2z - 9)/5 – (1/10) = (-13z + 12)/10 (Since each is a fraction, you can easily see the similar denomina

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Chapter 4.2, Problem 45E is Solved
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Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Show that the integer m with two's complement