1. Use D-flip-flops to design the counter that counts the following sequence and draw the circuit using any drawing software. You will have to use K-map to find the minimal expressions for the next state variables.

000

011

110

001

100

111

010

101

000

2. Redo #1 using the Logic Aid. To design a counter using the Logic you will have to use the state table as follows :

i. Select the State Table from the menu Input.

ii. Select 1 for the number of columns of next state, 0 or 1 for the number inputs and 0 or 1 for the number of outputs, and 1 for the length of the state names.

iii. Select Mealy Machine. Select the default for other options.

iv. Label each bit combination with a letter as follows

A for 000

B for 001

C for 010, and so forth. You may fellow he same procedure for more than 3 bits.

Then, construct the transition table according to the given counting sequence.

v. Convert the transition table into a state table using the letters Now enter the state table. Leave a space between the PS and the NS and enter any value for the output.

vi. Select State Assignment from the Routine menu and enter the appropriate number of state variables( you need three bits if you have 8 states, and so forth) and do not change the other options. The software will assign a bit combination to every state using the straight binary order.

vii. Select Flip-Flops Equations from the Routine menu and then select D-flip-flops and Maximum 5 minimum for the equations.