Boolean Matrices and Transpose
Transpose of a Matrix can be given below.

For example, suppose matrix is as below:

1   1   1   1

0   1   0   1

0   0   1   0

0   0   0   1

Transpose of the matrix can be given below (Flip Across diagonally):

1   0   0   0

1   1   0   0

1   0   1   0

1   1   0   1

Now keep this matrix on K-MAP As shown in fig below:



So the expression can be given as:



Circuit can be given as below: