How to determine a characteristic table and design a frequecy divider

[Her-0]

How do you determine a characteristic table with the given D-Flip Flop equation
Q+ = X.Q + X'. Q'

Also how do you use this flip flop and design a frequency divider. I am not really clear on these concepts. Can anyone help? I have attached my design of the circuit.

 

[LeeroyJenkins]

Your inputs from the equation are X and Q so start with them
XQ
00
01
10
11

from this we fill out X' and Q'
X'Q'
11
10
01
00

using these columns solve Q+
for example the first part XQ = 0 0 = 0
the second part X'Q' = 1 1 = 1
0 or 1 = 1 therefore Q+ = 1

creating the characteristic table
X Q X' Q' Q+
__________
0 0 1 1 1
0 1 1 0 0
1 0 0 1 0
1 1 0 0 1

make sense ?

 

[Her-0]

Your inputs from the equation are X and Q so start with them
XQ
00
01
10
11

from this we fill out X' and Q'
X'Q'
11
10
01
00

using these columns solve Q+
for example the first part XQ = 0 0 = 0
the second part X'Q' = 1 1 = 1
0 or 1 = 1 therefore Q+ = 1

creating the characteristic table
X Q X' Q' Q+
__________
0 0 1 1 1
0 1 1 0 0
1 0 0 1 0
1 1 0 0 1

make sense ?

Thank you that does help clear it up a lot! Now how do I design the frequency divider. I am not clear on how the frequency divider works can you help clarify?