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)

 10000001
---------- = 11101, Remainder = 000
   1101

Detailed Calculation

          11101
     ----------
1101 ) 10000001
       1101
       ----
        1010001
        1101
        ----
         111001
         1101
         ----
          01101
           1101
           ----
            000

MATLAB Example

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

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

>> 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      0      1

r = GF(2) array.

Array elements =

       0