A method to transpose source data in a processor in response to a vector bit transpose instruction includes specifying, in respective fields of the vector bit transpose instruction, a source register containing the source data and a destination register to store transposed data. The method also includes executing the vector bit transpose instruction by interpreting N×N bits of the source data as a two-dimensional array having N rows and N columns, creating transposed source data by transposing the bits by reversing a row index and a column index for each bit, and storing the transposed source data in the destination register.