Alan Turing Accomplishments

Decent Essays
Alan Turing was misunderstood, to say the least. The man we now regard as the father of modern computer science was heavily criticized and discouraged during his life for various reasons. Nonetheless, Turing was an incomparable mathematician way ahead of his time, and he made major contributions to the math and technology fields, helping win World War II and creating a path for modern computers to become a reality. We recognize him today with great honor and respect, but throughout his lifetime, and even for quite some time after, his actions and accomplishments have caused a great deal of scrutiny. However, this doesn’t negate the fact that his accomplishments were indeed noteworthy. So noteworthy, in fact, that his work has made its way to our mathematics 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. …show more content…
To generate a public number, pick two prime numbers, such as 11 and 13. Calculate for m, in which m = (11 - 1)(13 - 1) = 10 x 12 = 120. Find a number not divisible by m, such as 7, the first public number. The second public number is derived from multiplying the two initial numbers, 11 x 13 = 143. The private number is formed using modular arithmetic with the first public number to find d, where 7d = 1 mod 120. So the private number is 103. These three numbers are then used as the codes to encode and decode the messages, much like the codes sent out through the enigma machine during the

Related Documents

  • Decent Essays

    Ecet 340 Week 4

    • 1985 Words
    • 8 Pages

    ECET 340 Week 4 HomeWork 4 Purchase here http://devrycourse.com/ecet-340-week-4-homework-4 Product Description Determine the conversion time for an ADC0804 (8-bit), where 66 clocks per bit are required, if its clock frequency is 50 kHz. 2. If an 8-bit SAR has Vref = 10 V, what is the binary value for an input voltage of 7.28 V? 3. What is the percent error for the binary answer found in Problem #2?…

    • 1985 Words
    • 8 Pages
    Decent Essays
  • Decent Essays

    Not only did he invent the first computer but was a major contributor to why we won the second world war. In my opinion The Imitation Game gave me a good sense of what he did during the war and why he was so important. It showed me the main focus of his life his creation of the first computer and the context behind why he was doing it. I also noticed that the movie had little nods to what would soon be known as his Turing test in the interrogation scenes of the movie. I really enjoyed this movie for being a technical WWII movie but without the major action with a bigger focus on what is behind the curtain.…

    • 889 Words
    • 4 Pages
    Decent Essays
  • Decent Essays

    and makes each permutation 〖Pr〗_j looks like one keyword using concatenation operation as 〖Pr〗_j={W_1 || W_2 ||...||W_m}, where j = 1,...,m!, then he chooses a random number f∈Z_q^*. Finally the algorithm KeyEncrypt returns C_j for each permutation 〖Pr〗_j as…

    • 2042 Words
    • 8 Pages
    Decent Essays
  • Decent Essays

    Cryptography claims its roots from the latin root of kryptos, which means hidden secret, and graphein, which means writing. According to Dictionary.com, "Cryptography is the science or study of techniques of secret writing and message hiding." In today 's fast paced and tech savvy world, it isn 't strange to have at least a fleeting knowledge of cryptology and encryption specifically but this relatively young science and field of engineering has very deep roots. The generally agreed upon first example of cryptography at work occurred nearly four thousand years ago and is found in the ancient tomb of the Egyptian pharaoh Khnumhotep, where "...[the scribe] uses some unusual hieroglyphic symbols here and there in place of more ordinary ones." (Kahn 71) While it 's believed that the anonymous scribe responsible for the hieroglyphics wasn 't doing so to deliberately obfuscate his message as there was "no fully developed code of hieroglyphic substitution" according to Kahn.…

    • 1174 Words
    • 5 Pages
    Decent Essays
  • Decent Essays

    On the first three disks we have the binary information 1010, 1100 and 0011, here representing some data, and now calculate the parity information for the fourth disk. We use XOR operation to calculate the Parity bit: For the first column of the disks, to the left we have 1, 1 and 0: 1XOR 1 XOR 0 = Parity bit Broken down: 1 XOR 1 = 0 and then 0 XOR 0 = The parity bit is 0. This means first 1 XOR 1…

    • 572 Words
    • 3 Pages
    Decent Essays
  • Decent Essays

    If the number of 1s is odd, then the even parity bit will have a value of 1, otherwise the parity bit will be 0. In the same manner, an odd parity bit is generated by counting the number of 1s. However, if the number of 1s is even, then the odd parity bit will have a value of 1, otherwise the parity bit will be 0 Example 6 – 23. Generate an even parity bit of the bit string 10101101. Solution: Since there are 5 1s, then the even parity bit will have a value of…

    • 727 Words
    • 3 Pages
    Decent Essays
  • Decent Essays

    Originated from the Greeks, comes the Pythagorean Theorem. This equation is use to find the longest side of a right triangle A2 + B2 = C2 (hypotenuse). Also coming from the Pythagoras is the belief that a triangle, having three sides is equal to 180 degrees. Two of the well- known name in math is Euclid and Archimedes. Euclid wrote thirteen books of geometrical theorems, while Archimedes figured out calculations of volume and surface area of a cylinder and sphere.…

    • 1106 Words
    • 4 Pages
    Decent Essays
  • Decent Essays

    The Pascal’s triangle is used in two major areas in math. They are Algebra and Probability. Algebra In this case let us say we use a polynomial x+2, and if we want to raise it to some powers like 1, 2,3,4,5 and so on. Here is a chart below to have an idea. (x+2)^0 = 1 (x+2)^1 = x + 2 (x+2)^2 = x^2 + 4x + 4 (x+2)^3 = x^3 + 6x^2 + 12x + 8 (x+2)^4 = x^4 + 8x^3 + 24x^2 + 32x + 16 (x+2)^5 = x^5 + 10x^4 + 40x^3 + 80x^2 + 80x +…

    • 1202 Words
    • 5 Pages
    Decent Essays
  • Decent Essays

    Pascal's Triangle Essay

    • 1661 Words
    • 7 Pages

    A literature of Pascal’s Triangle emerged in 1068 discovered by Hindu mathematician Bhattotpala (c.1068) who recorded the first 16 rows of the triangle (Wilson, 2013, p170). Meanwhile, in Persia, Al-Karaji (953-1029) also found the binomial theorem according to Pascal’s Triangle as well as several theorems related to it (Coolidge, 1949, p151). Although the original work from Al-Karaji had lost, the later Persian mathematician Khayyam (1048-1122) referred Al-Karaji’s work about Pascal’s Triangle and uses it to find the nth roots according to the binomial expansion. Also around 11th century, Chinese mathematician Jia Xian (1010-1070) used Pascal’s Triangle to extract square roots and cube roots – more details will be mentioned later in this paper. He wrote down his discovery in the book Shi Shuo Suan Shu [The key to Mathematics].…

    • 1661 Words
    • 7 Pages
    Decent Essays
  • Decent Essays

    Isaac Newton Biography

    • 2065 Words
    • 9 Pages

    He was remembered for all the amazing things that he was able to accomplish, but there were some cowardly acts done by Newton that people never knew about. Newton was born into the days where science was constantly changing and improving our ways of thinking. This was known as the Scientific Revolution. This was a time period where people had a hard time…

    • 2065 Words
    • 9 Pages
    Decent Essays