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Programmable logic array

Programmable logic array

Overview
A programmable logic array (PLA) is a programmable device used to implement combinational logic
Logic
Logic, from the Greek λογική is the art and science of reasoning. More specifically, it is defined by the Penguin Encyclopedia to be "The formal systematic study of the principles of valid inference and correct reasoning". As a discipline, logic dates back to Aristotle, who established its...

 circuits
Electrical network
An electrical network is an interconnection of electrical elements such as resistors, inductors, capacitors, transmission lines, voltage sources, current sources, and switches....

. The PLA has a set of programmable AND gate
AND gate
The AND gate is a digital logic gate that implements logical conjunction - it behaves according to the truth table to the right. A HIGH output results only if both the inputs to the AND gate are HIGH . If neither or only one input to the AND gate is HIGH, a LOW output results...

 planes, which link to a set of programmable OR gate
OR gate
PRASADThe OR gate is a digital logic gate that implements logical disjunction - it behaves according to the truth table to the right. A HIGH output results if one or both the inputs to the gate are HIGH . If neither input is HIGH, a LOW output results...

 planes, which can then be conditionally complemented to produce an output. This layout allows for a large number of logic functions to be synthesized in the sum of products (and sometimes product of sums) canonical forms
Canonical form (Boolean algebra)
In Boolean algebra, any Boolean function can be expressed in a canonical form using the dual concepts of minterms and maxterms. Minterms are called products because they are the AND of a set of variables, and maxterms are called sums because they are the OR of a set of variables...

.

One application of a PLA is to implement the control over a datapath
Datapath
A datapath is a collection of functional units, such as ALUs or multipliers, that perform data processing operations. Most processors consist of a datapath and a control unit, with a large part of the control unit dedicated to regulating the interaction between the datapath and memory.-References:*...

.
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Encyclopedia
A programmable logic array (PLA) is a programmable device used to implement combinational logic
Logic
Logic, from the Greek λογική is the art and science of reasoning. More specifically, it is defined by the Penguin Encyclopedia to be "The formal systematic study of the principles of valid inference and correct reasoning". As a discipline, logic dates back to Aristotle, who established its...

 circuits
Electrical network
An electrical network is an interconnection of electrical elements such as resistors, inductors, capacitors, transmission lines, voltage sources, current sources, and switches....

. The PLA has a set of programmable AND gate
AND gate
The AND gate is a digital logic gate that implements logical conjunction - it behaves according to the truth table to the right. A HIGH output results only if both the inputs to the AND gate are HIGH . If neither or only one input to the AND gate is HIGH, a LOW output results...

 planes, which link to a set of programmable OR gate
OR gate
PRASADThe OR gate is a digital logic gate that implements logical disjunction - it behaves according to the truth table to the right. A HIGH output results if one or both the inputs to the gate are HIGH . If neither input is HIGH, a LOW output results...

 planes, which can then be conditionally complemented to produce an output. This layout allows for a large number of logic functions to be synthesized in the sum of products (and sometimes product of sums) canonical forms
Canonical form (Boolean algebra)
In Boolean algebra, any Boolean function can be expressed in a canonical form using the dual concepts of minterms and maxterms. Minterms are called products because they are the AND of a set of variables, and maxterms are called sums because they are the OR of a set of variables...

.

One application of a PLA is to implement the control over a datapath
Datapath
A datapath is a collection of functional units, such as ALUs or multipliers, that perform data processing operations. Most processors consist of a datapath and a control unit, with a large part of the control unit dedicated to regulating the interaction between the datapath and memory.-References:*...

. It defines various states in an instruction set, and produces the next state (by conditional branching). [eg. if the machine is in state 2, and will go to state 4 if the instruction contains an immediate field; then the PLA should define the actions of the control in state 2, will set the next state to be 4 if the instruction contains an immediate field, and will define the actions of the control in state 4]. Programmable Logic Arrays should correspond to a state diagram
State diagram
A state diagram is a type of diagram used in computer science and related fields to describe the behavior of systems. State diagrams require that the system described is composed of a finite number of states; sometimes, this is indeed the case, while at other times this is a reasonable abstraction...

 for the system.

Other commonly used programmable logic devices are PAL
Programmable Array Logic
The term Programmable Array Logic is used to describe a family of programmable logic device semiconductors used to implement logic functions in digital circuits introduced by Monolithic Memories, Inc...

, CPLD
CPLD
A complex programmable logic device is a programmable logic device with complexity between that of PALs and FPGAs, and architectural features of both. The building block of a CPLD is the macro cell, which contains logic implementing disjunctive normal form expressions and more specialized logic...

 and FPGA
Field-programmable gate array
A field-programmable gate array is an integrated circuit designed to be configured by the customer or designer after manufacturing—hence "field-programmable"...

.

Note that the use of the word "Programmable" does not indicate that all PLAs are field-programmable
Field-programmability
An electronic device or embedded system is said to be field-programmable or in-place programmable if its firmware can be modified "in the field," without disassembling the device or returning it to its manufacturer.This is often an extremely desirable feature, as it can reduce the cost and...

; in fact many are mask-programmed during manufacture in the same manner as a mask ROM
Mask ROM
Mask ROM refers to a kind of ROM whose contents are programmed by the integrated circuit manufacturer...

. This is particularly true of PLAs that are embedded in more complex and numerous integrated circuits such as microprocessor
Microprocessor
A microprocessor incorporates most or all of the functions of a central processing unit on a single integrated circuit . The first microprocessors emerged in the early 1970s and were used for electronic calculators, using binary-coded decimal arithmetic on 4-bit words...

s. PLAs that can be programmed after manufacture are called FPLA (Field-programmable PLA).

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