Generating a Boolean Cartesian product

[Bipolarity]

I basically am looking for an efficient way to implement the following:
I have ten inputs, {A,B,C,D,E,V,W,X,Y,Z}. I have twenty-five outputs that I need to implement:
{AV,AW,AX,AY,AZ, BV,BW,BX,BY,BZ, CV,CW,CX,CY,CZ, DV,DW,DX,DY,DZ, EV,EW,EX,EY,EZ}.

Obviously, a brute force way to do this would be to just use 25 AND gates. That costs me about 7 chips. Perhaps there is a simpler method I am overlooking that someone can suggest? Maybe with multiplexers etc. ? Or maybe there is a specialized chip to perform this kind of "Cartesian product" ?

Any ideas guys? Really appreciate it!

Thanks!

BiP

 

[mfb]

You need 25 different outputs, this corresponds to at least 25 different logic gates or an IC with at least that amount of logic inside. AND gates are a natural choice, if you can implement other gates cheaper/easier a more complicated setup could be interesting.

 

[Bipolarity]

You need 25 different outputs, this corresponds to at least 25 different logic gates or an IC with at least that amount of logic inside. AND gates are a natural choice, if you can implement other gates cheaper/easier a more complicated setup could be interesting.

Certainly there is no single chip I know of with 25 different outputs. But what if the problem was divided into 5 sub-problems, say one is just finding AV,AW,AX,AY,AZ ? Then is there a chip that takes as input A,V,W,X,Y,Z (six pins) and outputs AV,AW,AX,AY,AZ (5 pins). Surely some chip performs this function?

BiP

 

[jim hardy]

Then is there a chip that takes as input A,V,W,X,Y,Z (six pins) and outputs AV,AW,AX,AY,AZ (5 pins). Surely some chip performs this function?

There's any number of hex buffers/linedrivers with tristate output and enable pin that are mighty close to what you describe.
I'm having trouble finding datasheets - seems search engines only return that no-good pesky alldatasheets link anymore.
Try 74**368

and a one of several multiplexer like 74**451

sorry i can't get to datasheets anymore. Revolt of the machines, i guess.

 

[NascentOxygen]

Obviously, a brute force way to do this would be to just use 25 AND gates.

If you want all signals available all of the time, and outputs to change whenever an input changes, I can't see any other way of doing it. You haven't indicated more lenient specs.