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)

 10011100
---------- = 10001, Remainder = 101
   1001

Detailed Calculation

          10001
     ----------
1001 ) 10011100
       1001
       ----
        0001100
           1001
           ----
            101

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 0] );

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

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

q = GF(2) array.

Array elements =

       1      0      0      0      1

r = GF(2) array.

Array elements =

       0      1      0      1