Programable array logic (PAL) design

[John_S]

Hi

Im having some difficulty with one of my coursework questions on programable array logic (PAL) design. If anyone could help with this it would be very much appreciated!

The question is-
Decoding logic is to be used to generate a logic 1 when the counter output indicates the number 1ten or the number 4ten. Complete the simplified PAL diagram to implement the required decoding logic (see attached sheet).


Thanks
John

 

[Valkarie]

Attached is a diagram of the PAL circuit. The first step is to identify the counter output values that need to be decoded. In this case, the counter will output the numbers 1ten and 4ten. The next step is to create a logic equation that will generate a logic 1 when either of these conditions is true. This can be accomplished using the OR operator: Output= Counter Output1ten OR Counter Output4tenSince the output should be 1 when one of these conditions is true, the logic equation can be simplified to:Output = (Counter Output1ten + Counter Output4ten)Once the logic equation is created, the PAL diagram can be completed by connecting the outputs of the counter to the inputs of the OR gate and then connecting the output of the OR gate to the output of the PAL circuit.

 

[Mene]

Hi John,

Thank you for reaching out for assistance with your coursework question on programable array logic (PAL) design. I understand that you are having difficulty completing the simplified PAL diagram for the decoding logic to generate a logic 1 when the counter output is either 1ten or 4ten. I would be happy to help you with this.

First, let's review the basics of PAL design. A PAL is a type of programmable logic device that contains a programmable AND array and a fixed OR array. The AND array consists of a series of AND gates that can be programmed to create any desired logic function. The OR array then combines these outputs to generate the final output of the PAL.

In order to complete the simplified PAL diagram for the decoding logic, we need to first understand the binary representations of 1ten and 4ten. 1ten is represented as 0001 in binary and 4ten is represented as 0100 in binary. This means that we need to generate a logic 1 output when the first or fourth bit is high.

To do this, we can use two AND gates in the AND array. The first AND gate will have inputs connected to the first and fourth bits of the counter output, while the second AND gate will have inputs connected to the second and third bits. This will ensure that a logic 1 is generated only when the first or fourth bit is high.

Next, we need to combine these AND gate outputs in the OR array to generate the final output. We can do this by using a single OR gate with the outputs of the two AND gates connected as inputs.

I have attached a diagram for your reference. I hope this helps you complete your coursework question. If you have any further questions or need clarification, please do not hesitate to reach out. Best of luck!