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#
Authors:
M. Morris Mano, Michael D. Ciletti
Chapter:
Digital Systems And Binary Numbers
Exercise:
Problems
Question:1 | ISBN:9780132774208 | Edition: 5

Question

List the octal and hexadecimal numbers from 16 to 32. Using A and B for the last two digits, list the numbers from 8 to 28 in base 12.

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Answer

1. Convert decimal to octal – dividing the decimal with 8 untill the Quotient becomes 0 and then accumulating the Remainders.

              For example:  16/8 2 is Q ; 0 is R

                                        2/8 =0.25; 0 is Q ; .25*8= 2 is R

                                     (16)₁₀ = (20)₈

  Conversion to hexadecimal is same as above example but dividing the decimal with 16

Decimal

(base 10)

Octal

(base 8)

Hexadecimal

(base 16)

16

20

10

17

21

11

18

22

12

19

23

13

20

24

14

21

25

15

22

26

16

23

27

17

24

30

18

25

31

19

26

32

1A

27

33

1B

28

34

1C

29

35

1D

30

36

1E

31

37

1F

32

40

20

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Convert decimal to Dozonel (base 12)-

decimal dozenal
8 8
9 9
10 A
11 B
12 10
13 11
14 12
15 13
16 14
17 15
18 16
19 17
20 18
21 19
22 1A
23 1B
24 20
25 21
26 22
27 23
28 24
0 0

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