please help me with a) and b)

Given the following finite-state machine diagram for a two-directions 2-bit shift register. Where: 2 bits are used to represent the state (S251) 2 bits are for input (X2X1) 1 bit for output (y = 0 if S1 + S2, y = 1 if S1 = 52) The bits inside the circles (states/output) should be read as: S281/ The bits on the edges (inputs) should be read as: X2X1 00,10 00 11 01 00 11 10 01,10 10 10 01 10 00,11 11 00 19 01 11 /1 01,11 a) Give the complete state table (NB. The following table is just for template, you cannot edit it, create a new table following this template) Current state Input Next state output S2 S. | X X, S2 Si 1 b) Give the K-maps for the next states (51 and 52) as well as the output (y) and give their simplified expressions in terms of SOP