Design a 4-bit counter with one external input using T flip flop based on the following sequence: Input=0,6->2->9->13 (repeat), all undesired state go to 2. Input=1, 15->4->12->10 (repeat), all undesired state go to 4? need i) State transition diagram ii) State transition table iii) Simplification using K-Map iv) circuit design

Design a 4-bit counter with one external input using T flip flop based on the following sequence: Input=0,6->2->9->13 (repeat), all undesired state go to 2. Input=1, 15->4->12->10 (repeat), all undesired state go to 4? need i) State transition diagram

ii) State transition table

iii) Simplification using K-Map

iv) circuit design  

ASAP Thanks!