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Programmable Logic Arrays (PLAs) and Nor Nor Logic, Study notes of Electrical and Electronics Engineering

An introduction to programmable logic arrays (plas), focusing on nor nor logic, programmable outputs, and the structure of a pla circuit. It includes a state transition table, a simple nor gate explanation, and a logic minimization process using an example input file.

Typology: Study notes

Pre 2010

Uploaded on 09/02/2009

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Introduction to VLSI

PLAs

Driving Large Loads

State Transistion Table

R U S1 S0 S1 S0 a b c d

1 - 0 0 0 0 1 0 0 0

  • 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 - 0 1 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 0 1 1 - 1 1 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1
  • 1 1 0 0 0 1 0 0 0 1 - 1 0 0 0 1 0 0 0

R / a

R / a R + U / a

R + U / a

R U ⋅ / b

R U ⋅ / b

R U ⋅ / c

R U ⋅ / d R U ⋅ / c

R U ⋅ / d

R / a

R / a R + U / a

R + U / a

R U ⋅ / b

R U ⋅ / b

R U ⋅ / c

R U ⋅ / d R U ⋅ / c

R U ⋅ / d

Simple Nor Gate

out

Static PLA Circuit

How many total

programmable transistor sites?

Minterm Line

a b c

I/O Buffers

Logic Minimization

● Using espresso

(Search the Web)

example input file 1 ex1.txt

.i 4

.o 1

.ilb A B C D

.ob F

0 0 0 0 0

0 0 0 1 0

0 0 1 0 0

0 0 1 1 0

0 1 0 0 0

0 1 0 1 0

0 1 1 0 1

0 1 1 1 1

1 0 0 0 1

1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 .e

● (^) COMMENTS ABOUT THE INPUT FILE ● (^) .i 4 (Input variables = 4) ● (^) .o 1 (Output variables = 1) ● (^) .ilb A B C D (Input variable names) ● (^) .ob F (Output variable name) ● (^) 0 0 0 0 0 (Truth table row, 4 inputs and output) ● (^) .e (Signifies the end of the input file.)

After Running

example file 1

.i 4

.o 1

.ilb A B C D

.ob F

.p 2

100- 1

011- 1

.e

Interpretation:

.p 2 (Indicates that there are two

terms in the output expression)

100- 1 ( this term is AB'C'. notation: B'

is B inverse, so this is read as A and not B and not C)

011- 1 ( this term is A'BC)

● The logic expression

is therefore F = AB'C'

+ A'BC. In the output

lines,1 is the variable,

0 is the inverse, and -

means the variable is

not involved.