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Math / Discrete Mathematics and Its Applications 7 / Chapter 1.2 / Problem 6E

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

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QUESTION:

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.”

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QUESTION:

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.”

ANSWER:

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

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