# 02 - Number Systems

1. What is our 'western' current number system called and what 'base' is it?

Decimal, Base 10

Babylonian, Base 60

Binary, Base 2

Octal, Base 8

2. What does the 'base' of a number system refer to? (e.g. Base 10 for the Decimal system means….)

…that there are 10 digits in the number system, e.g. 0,1,2,3,4,5,6,7,8,9

…that the number system can add numbers up 10 times

…it is a number that tells us how many years it took for the system to develop (e.g. 10)

…it is just a number, it doesn’t mean anything

3. Binary is a base 2 system which means….

It has two digits in use - 0 and 1

It has two digits in use, 1 and 2

It goes up to the number 'two' - so the numbers are 0,1,2

None of the above

4. Octal is a base 8 system which the yuki people used. What statement is true?

It has eight numbers starting from 8 and going up to 16

It has eight digits, 0,1,2,3,4,5,6,7

It can only add up in groups of eight, and cannot understand anything that goes over 9

Numbers above 9 cannot be comprehended by the people using this number system

5. So, what really is a number? Think about the number 675 in decimal- what does it mean?

The number 675 has 675 lots of one hundred

The number 675, has six 'one hundreds', seven 'tens', and five, ones.

None of the above

The number 675 in decimal has six lots of '6', seven lots of '7' and five lots of '5'.

6. The following diagram shows the place values for the number 675 in decimal (base 10). How do we get the place value 1000?

None of the above

10 to the power of 10 would give us 1000

10 to the power of 3 would give us 1000

10 to the power of 1000 would give us 1000

7. Have a read of the 'fact' on the image below. Is it true or false that the ancient babylonians used base 60?

True

False

8. The following binary number (in green) is ______ in Decimal?

2

5

12

3

9. Looking at the table below, what statement is true about the Hexadecimal number system?

The table shows that it has numbers and letters as part of the system and this cannot be possible

The table shows that it has 16 digits 0 to 9 and A to F. F in Hexadecimal is 15 in Decimal

The table shows that it has 16 digits. A in Hexadecimal is A in Decimal

None of the above

10. Here is an image showing the mayan number system. What base number system is it?

19

2

20

10