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This lecture delves into the fundamentals of multiple-input gates within Programmable Logic Devices (PLDs). It covers the behavior of essential gates such as AND, OR, NAND, and NOR, explaining their outputs based on various input combinations. Key concepts such as the significance of high and low outputs, as well as specific PLD designs like XOR gates, are discussed. Additionally, the lecture explores practical applications and design techniques with the goal of enhancing understanding of digital logic principles in PLD implementations.
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A Programmable Logic Device Lecture 4.3
A Programmable Logic Device • Multiple-input Gates • A 2-Input, 1-Output PLD
Multiple-input Gates Z Z 2 1 Z Z 4 3
Multiple-input AND Gate Z 1 Output is HIGH only if all inputs are HIGH Z 1 An open input will float HIGH
Multiple-input OR Gate Z 2 Output is LOW only if all inputs are LOW Z 2
Multiple-input NAND Gate Z 3 Output is LOW only if all inputs are HIGH Z 3
Multiple-input NOR Gate Z 4 Output is HIGH only if all inputs are LOW Z 4
A Programmable Logic Device A = X & !X & Y & !Y = 0 & 0 = 0
A Programmable Logic Device A = X & !X & Y & !Y = 0 & 0 = 0 Z = A # B = 0 # B = B
Sum of Products Design Design an XOR gate X Y Z 0 0 0 0 1 1 1 0 1 1 1 0 m1 = !X & Y m2 = X & !Y Z = m1 # m2 = (!X & Y) # (X & !Y)
What type of gate is this? X Y removable jumpers A 1 Z 2 B X !X Y !Y
What type of gate is this? X Y removable jumpers A 1 Z 2 B X !X Y !Y