# The Enigma Machine and How It Worked Essay

3648 Words Jun 3rd, 2013 15 Pages
The Enigma Machine and How it Worked.-Ibrahim Rashid

What is the Enigma Machine: The enigma machine was a coding device that was used by the Germans during World War 2 to write, send, and decipher encrypted messages.

How did it work: The enigma machine was a very complicated device. On the inside of the machine there were three rotors that contained all 26 letters of the alphabet. What would happen was that when someone would press a letter on the keyboard, a different letter would pop up on the paper, such as A for E, D for G, F for Z, and so on. These substitutions occur because of the positions of the rotors on the inside of the machine. The rotors are first situated at any random letter in the alphabet and when the button is
List of all possible combinations.
1, 2 * 2,1

I have just explained my set up and provided some background information on the enigma machine, now I will begin to answer my previously states questions.

Question 1: How many different combinations will I have if I have three rotors and three slots?

3 Rotors: 3 Slots: 6 combinations Rotors used: 1/2/3 1. 1 2 3 2. 1 3 2 3. 2 3 1 4. 2 1 3 5. 3 2 1 6. 3 1 2

Answer to Question 1: The answer is 6 different combinations for 3 rotors with 3 different slots. By looking at the chart above, you see that there are only 6 combinations of possible placements of 3 rotors into 3 slots.

Why is this significant: This combination of 3 rotors, 3 slots, and 6 combinations is the standard amount of combinations possible for the enigma machine. There can be no fewer amounts of combinations or fewer amounts of rotors/slots in the enigma machine because that was not how the enigma machine was designed. All other alterations and combinations that come from the enigma machine derive from this standard amount of combinations.

Question 2: How many combinations can we find if we have 4 different rotors that will fit into four slots?

4 Rotors: 4 Slots: 24 Combinations
Rotors Used: 1/2/3/4

1. 2. 1 2 3 4 3. 1 2 4 3 4. 1 3 4 2 5. 1 3 2 4 6. 1 4 2 3 7. 1 4 3 2 8. 2 3 4 1 9. 2 3 1 4 10. 2 4 1 3 11. 2 4 3 1 12. 2 1 4 3 13. 2 1 3

## Related Documents

• ###### Essay Alan Turing 's Impact On World War II

use for abstract mathematical concepts, however, Turing found practical uses for such archaic concepts. This research would later be the foundation of a paper in which Turing analyzed the possibility of a “Universal Machine”. The Universal Machine would later be dubbed the Turing Machine and it could decode and perform any set of instructions. The idea of programmability as the basis of solving problems is the foundation of computer science. After graduating from Kings College, Turing went on to continue…

Words: 1469 - Pages: 6
• ###### Essay Alan Turing Was Misunderstood,

course under the study of encryption and coding. What Alan Turing did as a mathematician during World War II involved the use of codes and encryption to break the unbreakable enigma machine and subsequently win the war. His work had humble beginnings and staggering remains, but his involvement in breaking the enigma machine has indeed changed the course of history for the better. Turing was very much a self-involved student growing up. Distant from his parents, he learned to share his love and passion…

Words: 1165 - Pages: 5
• ###### An Interview With Director Morten Tyldum And Screenwriter Graham Moore

legacy and how according to Winston Churchill, “made the single biggest contributions to the war effort.” However, the film alters a number of historical facts, particularly the inaccurate depiction in the contributions leading up to decipherment of the Enigma machine and whether Alan Turing and his group, portrayed in the film, were the real members who cracked the Enigma codes. This is significant because this movie will be the only education most people will have on Alan Turing and ‘Enigma,’ and without…

Words: 2221 - Pages: 9
• ###### Essay The Science Fiction Idea Of Multiple Universes

mathematicians justice, and finally I will talk about how this connection of mainstream films has a strong impact on the popular culture and the mathematical community. First, the most challenging aspect of interpreting a mathematician’s work to the big screen is the accuracy of the mathematics. For example, the film The Imitation Game is about English mathematician Alan Turing, portrayed by Benedict Cumberbatch. Turing invented a decoding machine that translated the Nazi codes in World War II. The…

Words: 2193 - Pages: 9
• ###### Essay biography of Alan Turing

A Biography of Alan Turing, with Mathematics. From the middle name one may suspect a certain class value,although the "Math" bit is a strange coincidence. His father went to Oxford and then worked for the Indian Civil Service. His mother's father also worked in India. He was born in 1912, their second son. 1926 his father retired so perhaps he had something of normal family life from then on. Went to Sherborne, one of older public schools. Whilst there he became a close friend of Christopher…

Words: 3936 - Pages: 16
• ###### Essay The History Of The Modern Computer

missiles. Being able to calculate exactly where to aim a gun based on distance and conditions proved to be a very important part of the war. In a time of little technological advancements, these new machines became the heart of the Allies victory; without them, history could possibly be different than how we know it today. Prior to World War II, the advances in the computer industry were few and far between. As far as computers were concerned, the only technological findings to date had been mechanical…

Words: 1318 - Pages: 6
• ###### Cryptography Is The Study And Practice Of Secret Writing And Communication

invention of Enigma. Enigma, which would end up becoming the most feared machine of encryption in the human history, was invented and build by a German inventor Arthur Scherbius. Enigma was the result of his pet project to replace the inadequate system of encryption used in the First World War with a better, safer version. It was a complex, multilayered machine with over 10,000,000,000,000,000 possible keys. Because of the huge amount of possible keys Scherbius believed his machine to be impregnable…

Words: 1204 - Pages:
• ###### Essay Why Humans Are The Way We Are

human history to spend years pondering. Along with this pondering, questions have risen that has caused many controversies over the years. The questions include things such as “What is the mind?” “Where is it found?” “Why do we experience what we do?” “How do we know what I am seeing and experiencing is the same thing that you are experiencing?” And perhaps one of the biggest questions that has continued to stump thinkers from every discipline “What is Consciousness?” In medical terms it is roughly defined…

Words: 1510 - Pages: 7
• ###### Cryptography Is The Science Or Study Of Techniques Of Secret Writing And Message Hiding

of their fame on military might, and like every modern military, they had a means of encrypted communication. The Spartans used a technique called a Transposition Cypher. This cypher works by rearranging letters rather than outright replacing them. How they did it was by creating a cylindrical device called a Scytale of which is "the first mechanical enciphering device" (Leighton 149) and giving one to both the sender and recipient of exactly the same diameter. The message would be prepared by the…

Words: 1174 - Pages:
• ###### Essay Computers And Craniums : A Continuing Cycle Of Connections

Computers and Craniums: A Continuing Cycle of Connections The enigma of the human mind is a puzzle that has fascinated many great scientists. From the earliest musings of the ancient philosophers to the advanced neuroscience research going on today, many intelligent people have worked to understand what is going on in our own heads. In an interesting phenomenon, our understanding of the mind is intimately linked to the technology that is used to study it, and the new findings that arise feed directly…

Words: 1242 - Pages: