Xilinx software to sketch AND and OR gates

[sami23]

Homework Statement

In the Xilinx software symbol library (student edition version 10.1), the maximum number of inputs for AND and OR gates is 9. What would you do if a 10-input AND and OR gates are needed? Draw the schematic diagrams and show the connections.

Homework Equations

(a1+a2+...+a10)=(a1+a2+...+a9) +a10

Boolean Equations:
AND: multiply each input = output
OR: add each input = output

The Attempt at a Solution

Put the AND operations to 9 AND input and then pass the output to the two inputs with another input as a10.

Similar thing can be done to OR gates.I have attached my attempt sketch. It looks like I have 11 inputs in total and I need 10. How can I sketch the connections of the 10-input gates?

 

[MisterX]

Xilinx ISE has a notation for something we might call a "bus". It is a name follow by an interval specifier. See the example below.

http://uhaweb.hartford.edu/jmhill/suppnotes/isetut/ise9x2/schem_fourbit_2.png

 

[MisterX]

So you could label each dangling wire, and then connect all ten wires together to a bus named "a(9:0)" just as the bus "Avail(3:0)" picture above.

 

[sami23]

I think I need to take two 5-input AND gates and connect the 10-inputs. Then take 1 2-input AND gate and connect output of two gates to the input of gate. Will the whole system function as a 10 input AND gate?

How do I represent that? I've attached my attempt

 

[DeeNos]

One solution could be to use a multiplexer to combine the 10 inputs into one input for the AND or OR gate. The multiplexer would have 10 inputs and one output, where the output would be connected to the input of the AND or OR gate. This way, all 10 inputs can be used in the gate without exceeding the maximum number of inputs. The schematic diagram for this solution would look something like this:

AND gate with 10 inputs:
(a1+a2+...+a9) + (a10) = output
Multiplexer:
(a1, a2, ..., a9, a10) = output

OR gate with 10 inputs:
(a1+a2+...+a9) + (a10) = output
Multiplexer:
(a1, a2, ..., a9, a10) = output

Alternatively, you could also use multiple smaller AND or OR gates with 9 inputs each and then combine their outputs using additional logic gates to achieve the desired result. This approach may require more components and may not be as efficient, but it is another option to consider.