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Translate the given statement into | Ch 1.2 - 6E

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

Solution for problem 6E Chapter 1.2

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 6E

Translate the given statement into propositional logic using the propositions provided.

You can upgrade your operating system only if you have a 32-bit processor running at I GHz or faster at least 1 GB RAM, and 16 GB free hard disk space. or a 64-bit processor running at 2 GHz or faster , at least 2 GB RAM, and at least 32 GB free hard disk space. Express you answer in terms of u : “You can upgrade your operating system,” b32: “You have a 32-bit processor,” b64: “You have a 64-bit  processor,” g1: t; “Your processor runs at 1 GHz or faster,” g2: “Your processor runs at 2GHz or faster,” rl: “Your processor has at least 1 GB RAM,”  r2: “Your processor  has at least 2 GB RAM,”  h16:  “You have At least 16 GB free hard disk space,” and h32 : “You have at least 32 GB free hard disk space.”

Step-by-Step Solution:

Step 1:

Here we have to translate the given statement into propositional logic using the propositions provided.and we have to express our answer in terms of u,b32,b64,g1,g2,r1,r2,h16,h32

Step 2:

Given:u : “You can upgrade your operating system”

            b32: “You have a 32-bit processor”

           b64: “You have a 64-bit  processor”

           g1: t; “Your processor runs at 1 GHz or faster”

          g2: “Your processor runs at 2GHz or faster”

rl: “Your processor has at least 1 GB RAM”

r2: “Your processor  has at least 2 GB RAM”

h16:  “You have At least 16 GB free hard disk space”

h32 : “You have at least 32 GB free hard disk space”

We need to translate the statement “You can upgrade your operating system only if you have a 32-bit processor running at I GHz or faster at least 1 GB RAM, and 16GB free hard disk space. or a 64-bit processor running at 2GHz or faster , at least 2 GB RAM, and at least 32 GB free hard disk space.” into propositional logic

Step 3:

Let us consider one by one statement first

You can upgrade your operating system only if

1.32-bit processor running at 1GHz that is .32-bit processor and running at 1GHz  means

2. faster at least 1 GB RAM, and 16GB free hard disk space means

3.16 GB free hard disk space means b64

4. 64-bit processor running at 2GHz or faster means g2

5. least 32 GB free hard disk space is h32

Step 4 of 5

Chapter 1.2, Problem 6E is Solved
Step 5 of 5

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Since the solution to 6E from 1.2 chapter was answered, more than 256 students have viewed the full step-by-step answer. This full solution covers the following key subjects: processor, least, faster, bit, disk. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “Translate the given statement into propositional logic using the propositions provided.You can upgrade your operating system only if you have a 32-bit processor running at I GHz or faster at least 1 GB RAM, and 16 GB free hard disk space. or a 64-bit processor running at 2 GHz or faster , at least 2 GB RAM, and at least 32 GB free hard disk space. Express you answer in terms of u : “You can upgrade your operating system,” b32: “You have a 32-bit processor,” b64: “You have a 64-bit processor,” g1: t; “Your processor runs at 1 GHz or faster,” g2: “Your processor runs at 2GHz or faster,” rl: “Your processor has at least 1 GB RAM,” r2: “Your processor has at least 2 GB RAM,” h16: “You have At least 16 GB free hard disk space,” and h32 : “You have at least 32 GB free hard disk space.”” is broken down into a number of easy to follow steps, and 152 words. The full step-by-step solution to problem: 6E from chapter: 1.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM.

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Translate the given statement into | Ch 1.2 - 6E

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