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# Which Error Detection Method Involves Polynomials

1Communication at the data-link layer is ___________________.A)end-to-endB)node-to-nodeC)process-to-processD)None of the choices are correct2Which of the following best describes

## What Is The Port Number For Nntp?

a single-bit error?A)A single bit is inverted.B)A single bit per which error detection method uses one's complement arithmetic? transmission is inverted.C)A single bit per data unit is inverted.D)All of the choices are correct3Which error

## In The _______ Random-access Method, Stations Do Not Sense The Medium.

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## A Burst Error Means That Two Or More Bits In The Data Unit Have Changed

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## In The _______ Random-access Method Collision Is Avoided.

sent with a checksum. When arrives, checksum is recalculated. Should match the one that was sent. Bitstring represents polynomial. e.g. 110001 represents: 1 . x5 + 1 . x4 + 0 . x3 + 0 . x2 + 0 . x1 http://www.computing.dcu.ie/~humphrys/Notes/Networks/data.polynomial.html + 1 . x0 = x5 + x4 + x0 The order of a polynomial is the power of the highest non-zero coefficient. This is polynomial of order 5. Special case: We don't allow bitstring = all zeros. Easy to use framing or stuffing to make framed-and-stuffed transmission never all-zero, while still allowing payload within it to be all-zero. hash functions CRC Origin in research of W. Wesley Peterson: W.W. Peterson and D.T. Brown, "Cyclic codes for error detection", Proceedings of the in the IRE, Volume 49, pages 228-235, Jan 1961. W.W. Peterson, Error Correcting Codes, MIT Press 1961. Modulo 2 arithmetic We are going to define a particular field (or here), in fact the smallest field there is, with only 2 members. We define addition and subtraction as modulo 2 with no carries or borrows. This means addition = subtraction = XOR. Here's the rules for addition: 0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + which error detection 1 = 0 Multiplication: 0 * 0 = 0 0 * 1 = 0 1 * 0 = 0 1 * 1 = 1 Subtraction: if 1+1=0, then 0-1=1, hence: 0 - 0 = 0 0 - 1 = 1 1 - 0 = 1 1 - 1 = 0 Long division is as normal, except the subtraction is modulo 2. Example No carry or borrow: 011 + (or minus) 110 --- 101 Consider the polynomials: x + 1 + x2 + x ------------- x2 + 2x + 1 = x2 + 1 We're saying the polynomial arithmetic is modulo 2 as well, so that: 2 xk = 0 for all k. Digital Communications course by Richard Tervo Intro to polynomial codes CGI script for polynomial codes CRC Error Detection Algorithms What does this mean? Just consider this as a set of rules which, if followed, yield certain results. When the checksum is re-calculated by the receiver, we should get the same results. All sorts of rule sets could be used to detect error. It is useful here that the rules define a well-behaved field. Consider the polynomials with x as isomorphic to binary arithmetic with no carry. It is just easier to work with abstract x so we don't make the mistake of starting to add, say. 3 x3 to get x4 + x3 if we were thinking of x=2. We work in abstract x and keep "the coefficients of each power

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Which Error Detection Method Involves The Use Of Parity Bits p Communication at the data-link layer is A end-to-endB node-to-nodeC process-to-processD None of the choices are correct Which of the following best what is the port number for nntp describes a single-bit error A A single bit is inverted B A single in the random-access method stations do not sense the medium bit per transmission is inverted C A single bit per data unit is inverted D All of the choices which error detection method uses one s complement arithmetic are correct Which error detection method uses one's complement arithmetic

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