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#
Authors:
Linda Null ,julia Lobur
Chapter:
Data Representation In Computer Systems
Exercise:
Exercises
Question:1 | ISBN:9780763704445 | Edition: 3

Question

1. Perform the following base conversions using subtraction or division-remainder:

a) 458 base10 = ________ 3

b) 677 base10 = ________ 5

c) 1518 base 10 = _______ 7

d) 4401 base10 = _______ 9

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Answer

a)  

Divisor

Dividend

Reminder

3

458

 

3

152

2(LSB)

3

50

2

3

16

2

3

5

1

 

1(MSB)

2

  (458)10 = (121222)3

b)

Divisor

Dividend

Reminder

5

677

 

5

135

2(LSB)

5

27

0

5

5

2

 

1(MSB)

0

 (677)10 = (10202)5

c)

Divisor

Dividend

Reminder

7

1518

 

7

216

6(LSB)

7

30

6

 

4

2

(1518)10=(4266)7

 

 

d)

Divisor

Dividend

Reminder

9

4401

 

9

489

0(LSB)

9

54

3

 

6(MSB)

0

(4401)10 = (6030)9

0 0

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