ECE4253 Digital Communications
	Department of Electrical and Computer Engineering - University of New Brunswick, Fredericton, NB, Canada

Galois Field GF(2) Calculator

Model C-172 POLYNOMIAL CALCULATOR A: B: A + B A - B A × B A / B Discussion  Polynomials  MATLAB

Answer: (division)

 1001110110
------------ = 1111110, Remainder = 000
    1101

Detailed Calculation

          1111110
     ------------
1101 ) 1001110110
       1101
       ----
        100110110
        1101
        ----
         10010110
         1101
         ----
          1000110
          1101
          ----
           101110
           1101
           ----
            11010
            1101
            ----
              000

MATLAB Example

Calculations in GF(2) are performed by MATLAB functions found within the Communications Toolbox.

>> a = gf( [1 0 0 1 1 1 0 1 1 0] );

>> b = gf( [1 1 0 1] );

>> [q,r] = deconv(a,b) % deconvolution is equivalent to division

q = GF(2) array.

Array elements =

       1      1      1      1      1      1      0

r = GF(2) array.

Array elements =

       0