Design a counter which counts from 1 up to 6 but skipping the value 4. When the count reaches 6, it will get back to 1 and then starts counting from 1 to 6 again (always skipping the value 4). In other words, the counter output sequence is 1-2-3-5-6-1-2-3-5.... 1) Write down the state diagram for the counter. 2) Obtain the state table (Please clearly label your output bits in state table) [etnion 01] Inoitu nobenidina A 3) Use D flip-flop, obtain the minimum SOP for input equations and/or output equations. Please provide both the k-maps and the Boolean expressions. (note: you do not need to draw a circuit diagram) Question 6 [20 points] Letolog 2) noitzsu Design a 3-bit shift register circuit A (represented as A-A,A,A) using T flip-flops. The shift register should shift right after each clock. The serial input of the shift register is x. Please provide necessary Intermediate steps, such as state diagram, state table, and input equations. Draw the circuit diagram. (hint: the circuit is a synchronous sequential circuit) Janiog antisup Question 7 [10 points) Using D flip-flops, design a sequential circuit that will detect a sequence 1101 in a string of bits. For example: Input sequence X: Output sequence Y: 01010110101101101100100.. 00000000100001001000000 Draw the circuit. (Hint: Use shift register) bes & bos A sqol-gi XL gio aldat w bins supue has stun etning 22 naletu