Question

convert 12 octal to decimal
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23
45
3

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Answer 1

Answer:

How to convert from octal to decimal

A regular decimal number is the sum of the digits multiplied with 10n.

Example #1

137 in base 10 is equal to each digit multiplied with its corresponding 10n:

13710 = 1×102+3×101+7×100 = 100+30+7

Octal numbers are read the same way, but each digit counts 8n instead of 10n.

Multiply each digit of the hex number with its corresponding 8n.

Example #2

37 in base 8 is equal to each digit multiplied with its corresponding 8n:

378 = 3×81+7×80 = 24+7 = 31

Example #3

7014 in base 8 is equal to each digit multiplied with its corresponding power of 8:

70148 = 7×83+0×82+1×81+4×80= 3584+0+8+4 = 3596

Octal to decimal conversion table

Octal

base 8

Decimal

base 10

0 0

1 1

2 2

3 3

4 4

5 5

6 6

7 7

10 8

11 9

12 10

13 11

14 12

15 13

16 14

17 15

20 16

30 24

40 32

50 40

60 48

70 56

100 64

Step-by-step explanation: