Mammoth Memory

Number Bases

Number bases – Are a table built on multiples of the chosen base number. Start with the number 1 and multiply 1 by the chosen base number and keep multiplying by the base. Work right to left not left to right.

number bases is a series of multiplied numbers, the base is the starting number multiplied by itself

The bass (base) must be multiplied to hear it. You start with one bass (one base) guitar.

 

Example 1

Write the sequence of headings for base 10.

Start the sequence for base 10 by writing one

Start by writing the number 1 down on the right hand side

If the base is 10 multiply the first number by 10 1X10 is 10

Multiply one by 10 to get the next heading number

Multiply 10 with the previous number will give you the next heading number, remember to always work from right to left

And keep multiplying by 10.

The sequence for headings of base 10 is:

The heading numbers should be 1000, 100, 10, 1

 

Example 2

Base 2

Example 2 with a base of 2

Start by writing the number 1 down on the right hand side

If you start with 1 with a base of 2 you need to start with the sum 2X1

Multiply one by 2 to get the next heading number.

Keep multiplying the base with the previous number

And keep multiplying by 2.

The sequence for headings of base 2 is:

You complete headings for base 2 is 16, 8, 4, 2, 1

 

 

Example 3

Base 8

Example 3 with a base of 8

Start by writing the number 1 down on the right hand side

If you start with 1 with a base of 8 you need to start with the sum 8X1

Multiply one by 8 to get the next heading number.

Keep multiplying the base with the previous number

And keep multiplying by 8.

The sequence for headings of base 8 is:

You complete headings for base 8 is 512, 64, 8, 1

 

Example 4

Base 5

Example 4 with a base of 5

Start by writing the number 1 down on the right hand side

If you start with 1 with a base of 5 you need to start with the sum 5X1

Multiply one by 5 to get the next heading number.

Keep multiplying the base with the previous number

And keep multiplying by 5.

The sequence for headings of base 5 is:

You complete headings for base 5 is 125, 25, 5, 1

 

Writing numbers in different bases

Example

Write 18 in each base 10, 2, 8 and 5

 

Base 10

1000

100

10

1

   

1

8

This means 1 ten and 8 ones = 18

Answer: 18 in base 10 is 18

 

Base 2

16

8

4

2

1

1

0

0

1

0

 

This means 1 sixteen, no 8’s, no 4’s, 1 two and no 1’s = 18

Answer: 18 in base 2 is 10010

 

Base 8

512

64

8

1

   

2

2

This means 2 eights and 2 ones = 18

Answer: 18 in base 8 = 22

 

Base 5

125

25

5

1

   

3

3

This means 3 fives and 3 number ones = 18

Answer: 18 in base 5 = 33

 

 

 

 

 

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