# crc - CNT 4104 Intro to Data Comm Cyclic Redundancy Check...

This preview shows pages 1–7. Sign up to view the full content.

CNT 4104 Intro to Data Comm Cyclic Redundancy Check Dr. Sam Hsu Computer Science & Engineering Florida Atlantic University

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 CRC Key concepts Polynomials Modulo 2 arithmetic Algorithm Hardware implementation Shift registers. Exclusive-OR (XOR) gates
3 Some Math Concepts (1/2) A polynomial of degree n, n 0 in x can be represented as: a n x n + a n-1 x n-1 + … + a 0 (a n 0) Given N(x), a polynomial of degree n , we can show that N(x) = Q(x) * D(x) + R(x) where Q(x), D(x) and R(x) are also polynomials of some degrees n . R(x) = 0 if N(x) is divisible by D(x).

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4 Some Math Concepts (2/2) If B(x) is a polynomial of some degree, then we can show that A(x) = B(x) * x m (m 0) where A(x) is also a polynomial.
5 Modulo 2 Arithmetic 0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 0 Which are the same as the XOR operations 0 0 = 0 0 1 = 1 1 0 = 1 1 1 = 0 + + + +

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
6 Cyclic Redundancy Check Code Is also known as the polynomial code . Is based upon treating bit patterns as representations of polynomials with binary coefficients of 0 and 1 only.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern