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: (multiplication)

    10101010
       10101
------------
100010100010

Detailed Calculation

    10101010
       10101
------------
    10101010
  10101010  
10101010    
------------
100010100010

MATLAB Example

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

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

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

>> c = conv(a,b) % convolution is equivalent to polynomial multiplication

c = GF(2) array.

Array elements =

       1      0      0      0      1      0      1      0      0      0      1      0