Digital system design

1- Design a sequential circuit that detects the sequence 1101 in a string of bits coming through an input line. This sequence detector circuit has one input x and one output y. The circuit makes y equal to 1 whenever the above sequence is detected, otherwise, y equals 0. 2- Implement the designed circuit using Logisim and test it for each of the following cases: a. 01101001101011010 b. 00110110110101101