A Hamming (7,4) code is used to communicate a bit stream by splitting the bits into groups of 4 information bits (b1 to b4) to which 3 parity bits (b5 to b7) are appended (according to the algorithm described in lectures and shown in the formula sheet) before transmission in the order b1 b2 b3 b4 b5 b6 b7. If the 7 bit sequence 1001010 is received, what 4-bit information sequence does the decoder output?