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Base Number Differences, Cheat Sheet of Number Theory

College of the Canyons (COC)Number Theory
Prof. Mohamed Reza Riasati

cheat sheet for base numbers in class that coincides with the base number chapter

Typology: Cheat Sheet

2023/2024

Uploaded on 02/14/2024

drew-skiii
drew-skiii 🇺🇸

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Math4010 Midterm 2
Reference Sheet
Base Number Lines
Base 2:
|--|--|--|--|--|--|--|--|---|---|---|---|---|---|---|----|----|----|----|----|----|----|
0 1 10 11 100 101 110 111 1000 1001 1010 1011 1100 1101 1110 1111 10000 10001 10010 10011 10100 10101 10111
Base 3:
|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|
0 1 2 10 11 12 20 21 22 100 101 102 110 111 112 120 121 122 200 201 202 210 211 212 220 221 222 1000
Base 4:
|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|
0 1 2 3 10 11 12 13 20 21 22 23 30 31 32 33 100 101 102 103 110 111 112 113 120 121 122 123
Base 5:
|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|
0 1 2 3 4 10 11 12 13 14 20 21 22 23 24 30 31 32 33 34 40 41 42 43 44 100 101 102
Base 6:
|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|
0 1 2 3 4 5 10 11 12 13 14 15 20 21 22 23 24 25 30 31 32 33 34 35 40 41 42 43 44
Base 7:
|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|
0 1 2 3 4 5 6 10 11 12 13 14 15 16 20 21 22 23 24 25 26 30 31 32 33 34 35 36 40
Base 8:
|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|
0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 20 21 22 23 24 25 26 27 30 31 32 33 34
Base 9:
|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|
0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 30 31
Base 11:
|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|
0 1 2 3 4 5 6 7 8 9 T 10 11 12 13 14 15 16 17 18 19 1T 20 21 22 23 24 25 26
Base 12:
|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|--|
0 1 2 3 4 5 6 7 8 9 T E 10 11 12 13 14 15 16 17 18 19 1T 1E 20 21 22 23 24

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Math4010 Midterm 2

Reference Sheet

Base Number Lines

Base 2:

0 1 10 11 100 101 110 111 1000 1001 1010 1011 1100 1101 1110 1111 10000 10001 10010 10011 10100 10101 10111

Base 3:

0 1 2 10 11 12 20 21 22 100 101 102 110 111 112 120 121 122 200 201 202 210 211 212 220 221 222 1000

Base 4:

0 1 2 3 10 11 12 13 20 21 22 23 30 31 32 33 100 101 102 103 110 111 112 113 120 121 122 123

Base 5:

Base 6:

Base 7:

Base 8:

Base 9:

Base 11:

0 1 2 3 4 5 6 7 8 9 T 10 11 12 13 14 15 16 17 18 19 1T 20 21 22 23 24 25 26

Base 12:

0 1 2 3 4 5 6 7 8 9 T E 10 11 12 13 14 15 16 17 18 19 1T 1E 20 21 22 23 24