List the first twenty counting numbers in the indicated base below. twelve (Only digits 0, 1, 2, 9, A, B are used in base twelve.) What are the first twenty counting numbers in base twelve? (Use a comma to separate answers as needed.)

Question

Mathematics

Davon Fitzpatrick

30 April, 09:04

List the first twenty counting numbers in the indicated base below. twelve (Only digits 0, 1, 2, 9, A, B are used in base twelve.) What are the first twenty counting numbers in base twelve? (Use a comma to separate answers as needed.)

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Answers (1)

Know the Answer?

Chandler Chung · Answer 1

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, 10, 11, 12, 13, 14, 15, 16, 17, 18

Step-by-step explanation:

The first twenty counting numbers in base ten are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20. If we convert each of these numbers to base twelve, then we will get the first twenty counting numbers in base twelve. We now proceed with the conversion below.

The first twelve digits of base 12 are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B.

12 in base 10 = 10 in base 12 since 12/12 = 1 R 0.

13 in base 10 = 11 in base 12 since 13/12 = 1 R 1.

14 in base 10 = 12 in base 12 since 14/12 = 1 R 2.

15 in base 10 = 13 in base 12 since 15/12 = 1 R 3.

16 in base 10 = 14 in base 12 since 16/12 = 1 R 4.

17 in base 10 = 15 in base 12 since 17/12 = 1 R 5.

18 in base 10 = 16 in base 12 since 18/12 = 1 R 6.

19 in base 10 = 17 in base 12 since 19/12 = 1 R 7.

20 in base 10 = 18 in base 12 since 20/12 = 1 R 8.

So the next 8 counting numbers of base 12 are 10, 11, 12, 13, 14, 15, 16, 17, 18.