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01 - Introduction to Binary

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

  base 1

  base 2

  base 10

  base 1 and 0

 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

  There is no such thing as a bit

  There are no errors

  All binary numbers are 8 bit in nature

  Line 1: A single 0 in binary is 1 bit

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

  10

  16

  24

  12

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

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

  3434

  It is the same i.e. 23021294

  12

 6. In Binary, eight bits make a:

  byte

  bit

  megabyte

  terabyte

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

  6

  7

  5

  8

 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 10 and 1

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

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

  You can create the numbers 0 and 1 only

 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

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

  They don't use Binary - they use Decimal

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

 10. 1 + 1 in Binary = 10

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

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

  False, because the answer should be 2

  True, because 10 is '2' in Binary


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