How to multiply between column in the matrix

I have this matrix:

dFF2=ff2n(4)


dFF2 =

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

Let: column 1 =A1,column 2=A2, column 3=A3 and column 4=A4

I want to produce a matrix with

[A1 A2 A3 A4 A1A2 A1A3 A1A4 A2A3 A2A4 ...A3A4...A1A2A3 A1A2A4 A2A3A4 ...A1A2A3A4]

it is a 16x12 matrix..Ouch, how to do that?