help with Architecture homework

PROBLEM
Braille is a system which allows a blind person to "read" alphanumerics by feeling a pattern of six raised dots. (Click on the above image for a Braille chart.) For the digits 0-9, only four dots are used, placed essentially in the four corners of a square (the top four dots out of six). Design a ciruit that converts BCD to Braille. The table shows the correspondence between BCD and Braille. NOTE; A,B,C and D are the inputs and UL, UR, LL and LR are the outputs (UL represents the upper left corner, UR the upper right corner, LR the lower right corner, and LL the lower left corner). A 0 indicates no raised dot and a 1 indicates a raised dot in that position.

   inputs        outputs
 A  B  C  D |  UL  UR  LR  LL
-----------------------------
 0  0  0  0 |  0    1   1   1  
 0  0  0  1 |  1    0   0   0
 0  0  1  0 |  1    0   0   1
 0  0  1  1 |  1    1   0   0
 0  1  0  0 |  1    1   1   0
 0  1  0  1 |  1    0   1   0
 0  1  1  0 |  1    1   0   1
 0  1  1  1 |  1    1   1   1
 1  0  0  0 |  1    0   1   1
 1  0  0  1 |  0    1   0   1


PROGRESS
I took each output and assigned its values to four 4x4 k-maps, and came out with simplified boolean expressions.  Then I took the complement of each output and did the same.  Now I have to choose which combination of functions and complements to use that would require the smallest number of logic gates.

I'm not asking for anyone to do my homework for me.  I just need advice on what to do next...that is, do I figure out what products are shared between expressions?  Or do I lump them all together in some strange method I don't remember?  As a last resort, I can take all 16 possible combinations and compare the number of gates required, then decide on a circuit.

You add 3.

3 bits that is.

Add 3 bits??  To what?  And how would that help?

Actually that will only work for a few cases. Oh well.

Just manipulate the boolean expressions until you get phrases that are shared by different outputs.

>>4
I looked at the first couple of cases, and then one further down. Unfortunately, those were the only ones it worked for :D

input         output            difference
 0  0  0  0 |  0    1   1   1  = 111 *
 0  0  0  1 |  1    0   0   0  = 111 *
 0  0  1  0 |  1    0   0   1  = 111 *
 0  0  1  1 |  1    1   0   0  = 1001
 0  1  0  0 |  1    1   1   0  = 1010
 0  1  0  1 |  1    0   1   0  = 0101
 0  1  1  0 |  1    1   0   1  = 111 *
 0  1  1  1 |  1    1   1   1  = 1000
 1  0  0  0 |  1    0   1   1  = 0011
 1  0  0  1 |  0    1   0   1  = -0100

Karnaugh maps are your friend!

http://www.comeboot.com/ugg-bailey-button-boots.html  Bailey Button UGG Boot. http://www.comeboot.com/ugg-bailey-button-boots.html  Bailey Button UGG Boot will buy in any case, another pair if they are still available.  Slippers International is still very much a family business. http://www.comeboot.com/  Black UGG For Sale. http://www.comeboot.com/  Black UGG For Sale The origin of their fine slipper-making dates back to their 1930's ancestors. http://www.comeboot.com/ugg-ultra-tall-boots.html  Ultra Tall UGG Boot. http://www.comeboot.com/ugg-ultra-tall-boots.html  Ultra Tall UGG Boot Nearly

http://www.beendress.com/  discount evening dress A-line dresses provide a classic silhouette that is timeless and elegant http://www.beendress.com/Wedding-Dresses.html  wedding and formal wear  http://www.beendress.com/Flower-Girl-Dresses.html  flower girl princess dresses

Adrianna Papell evening dresses any woman attending formal party will surely stand out from the crowd. The materials used in their evening dresses are made from high quality materials. And not only is it high in quality but also offers great comfortability to women wearing it http://www.cookdress.net/wedding-dresses-v-neck-wedding-dresses.html  v neck bridesmaid dresses . <br> They have great designs and styles ranging from and elegant overlapping After a background in the music world, Phyllis Sika has launched the project about four years ago, driven by the desire to export a taste for bold colors and fabrics http://www.cookdress.net/  Women's Dresses , typical of the Ghanaian culture in the western world . “ When I was little, we went to Ghana every summer to work the ropes and watched fascinated and thought it was a pity that  http://www.cookdress.net/  cheap dresses