Student's Name:

Student's ID:

Part $1$:

Design a $4-$bit synchronous counter that counts in $2,4,2,1$ code. The counter shall count

all Odd numbers in the $2,4,2,1$ code. Use the minimum number of clocked JK flip flops

and any necessary logic gates to build this counter.

Note: treating the unused state don't care conditions

Write down the excitation table of the JK flip flop.

Draw the state diagram of the counter.

Specify how many flip flop required to build this counter $($explain your answer$)?$

Write down the transition table.

Use $k-$maps to find the equations of the flip flop inputs.

Plot the logic circuit of your counter.

Part $2$:

Build your circuit $($which is obtained from part $1)$ in the Logisim software.