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Evaluate each of these expressions.

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

Solution for problem 44E Chapter 1.1

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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1
Problem 44E

Evaluate each of these expressions.

a) \(11000 \wedge(01011 \vee 11011)\)

b) \((01111 \wedge 10101) \vee 01000\)

c) \((01010 \oplus 11011) \oplus 01000\)

d) \((11011 \vee 01010) \wedge(10001 \vee 11011)\)

Equation Transcription:




Text Transcription:

11000 wedge (01011 vee 11011)  

(01111wedge 10101) vee 01000  

(01010 oplus 11011) oplus 01000  

(11011 vee01010) edge (10001∨11011)

Step-by-Step Solution:
Step 1 of 3

Solution:

Step1

Given that

An expression which we have to solve.

Step2

To find

Evaluate each of these expressions.

Step3

By using given expression we are solving

a.  

First we have to solve

   

     

1 1011

--------

1 1 011 -----(1)

Now using (1) we get

     

1 1011

--------

1 1 000

Therefore,  is 1 1000.

Step4

b.

First we have to solve

 

     

1 0101

--------

0 0101 -----(1)

Now using (1) we get

     

0 1000

--------

0 1101

Therefore,  is 0 1101 .

Step5

c.

First we have to solve

     

1 1011

--------

1 0001 -----(1)

Now using (1) we get

     

0 1000

--------

1 1001

Therefore,  is 1 1001  .

Step6

d.

First we have to solve

     

0 1010

--------

1 1011 -----(1)

Then

     

1 1011

--------

1 1011 -----(2)

Now using (1) and (2) we get

     

1 1011

--------

1 1011

Therefore,  is 1 1011  .

Step 2 of 3

Chapter 1.1, Problem 44E is Solved
Step 3 of 3

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

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Evaluate each of these expressions.