You do the K-map for the 0 or 1 ? You group the 1 or 0 ??
neither nor.
You group the input variables (A to D). Have a look at my post from 10:50 AM. There is a Karnaugh map showing the variables outside the map/grid. I repeat the grid here with some added coloring:
You see the red fields? These are for A=1. All other fileds are for A=0.
Also the blue fields are for C=1, all other for C=0.
Where the red and blue fileds intersect, both A and C are "1", therefore the corresponding equation would be A AND B.
Now do the same yourself. Start with the equation for segment e. I have already given you all necessary hints plus the result. See how to arrive at this result yourself. Then use the same technique for the remaining segments.
By the way: I really recommend you start with *steve*'s advice and look at segment f. It is really obvious. Get your heaad free and do some around-the-corner thinking. What is the equation for segment f?
You then have f and e and only 5 more equations to find.
Check all equations by inputting all possible combinations of input variables (A...D) and verifying the output for each segement against your truth table.
And by the way: Don't forget to check for the type of 7-segment display (you never answered to that part of my post) and provide suitable series resistors for limiting the current to the display's LEDs.
If you don't trust your own work:
I can't promise to be here to check your equations before you have to enter the components list. You may want to include 2 more NAND ICs into your bill of materials. Each IC (e.g. 7400) contains 4 NAND gates. NAND gates are very versatile, they can be used as inverters, you can construct AND gates as well as OR gates or even EXORs from them. So you have some reserve in case your equations turn out wrong.