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)

 10011
------- = 1110, Remainder = 1
  11

Detailed Calculation

      1110
   -------
11 ) 10011
     11
     --
      1011
      11
      --
       111
       11
       --
         1

MATLAB Example

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

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

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

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

q = GF(2) array.

Array elements =

       1      1      1      0

r = GF(2) array.

Array elements =

       1