# 01 - Introduction to Binary

1. Binary is a _________ language that uses just two digits: 1 and 0

base 1

base 2

base 1 and 0

base 10

2. Read the following excerpt on Binary and decide/research whether it is true.
```The modern binary number system was studied in Europe in the 16th
and 17th centuries by Thomas Harriot, Juan Caramuel y Lobkowitz,
and Gottfried Leibniz. However, systems related to binary numbers
have appeared earlier in multiple cultures including ancient Egypt,
China, and India. Leibniz was specifically inspired by the
Chinese I Ching```

FALSE

TRUE

3. Spot the error in the following:
```0 = 0 bit
1 = 1 bit
01 = 2 bits
111 = 3 bits
1111 = 4 bits```

Line 1: A single 0 in binary is 1 bit

There is no such thing as a bit

There are no errors

All binary numbers are 8 bit in nature

4. The following shows the Binary number 1010 (10 in Decimal). If we wanted a larger number, what would go to the left of the 8?
```      8   4   2  1
==============
1   0   1  0 ```

10

24

12

16

5. What is the following binary number in our decimal system?
`23021294`

12

This is not a binary number - the question doesn't make sense

It is the same i.e. 23021294

3434

6. In Binary, eight bits make a:

byte

megabyte

terabyte

bit

7. In Binary, the largest positive number you can create using just three bits is:
```    4   2  1
=====
1   1   1```

6

5

8

7

8. Read the following excerpt on Leibniz's ideas and work out what number(s) can be created from two bits using a 1 and a 0
```Leibniz's defense of a creator God
===================================
Binary numerals were central to Leibniz's theology. He believed that
binary numbers were symbolic of the Christian idea of creatio
ex nihilo or creation out of nothing.

"[A concept that] is not easy to impart to the pagans, is the
creation ex nihilo through God's almighty power. Now one can
say that nothing in the world can better present and demonstrate
this power than the origin of Numbers, as it is presented here
through the simple and unadorned presentation
of One and Zero or Nothing.```

You can create the numbers 0 and 1 only

You can create the numbers 10 and 1

You can create the numbers: 0, 1, 2 and 3.

In just two bits, you cannot create a number, as you need a minimum of eight

9. Why do computers use binary?

Because they are made up of on and off switches that can be in one of two states and Binary works perfectly with this system

They could have used the alphabet but the inventors of the computer decided on Binary for no particular reason

They don't use Binary - they use Decimal

Because Computers can only add up two numbers and are incapable of doing more complex calculations

10. 1 + 1 in Binary = 10

False, because the answer should be 2

True, because 10 is '4' which is how many bits there are x 2

False, because 1 + 1 cannot be computed at all by a computer

True, because 10 is '2' in Binary