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# lecture12annotat - 6.012 Microelectronic Devices and...

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6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 12-1 Lecture 12 - Digital Circuits (I) The inverter October 20, 2005 Contents : 1. Introduction to digital electronics: the inverter 2. NMOS inverter with resistor pull up Reading assignment: Howe and Sodini, Ch. 5, §§ 5.1-5.3.2

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6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 12-2 Key questions What are the key ﬁgures of merit of logic circuits? How can one make a simple inverter using a single MOSFET?
v 6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 12-3 1. Introduction to digital electronics: the in- verter In digital electronics, digitally-encoded information is rep- resented by means of two distinct voltage ranges: V V MAX V OH V OL V MIN logic 1 logic 0 undefined region logic 0 : V MIN V V OL logic 1 : V OH V V MAX undeﬁned logic value : V V V . Logic operations are performed using logic gates . Simplest logic operation of all: inversion in erter inverter

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6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 12-4 2 Ideal inverter : IN OUT 1 OUT=IN 0 1 IN 0 Circuit representation and ideal transfer function: V OUT v + V + V OUT =V IN V + + + 2 V IN V OUT - - 0 0 V M = V + V + V IN 2 Deﬁne switching point or logic threshold V M input voltage for which V OU T = V IN -for 0 V V M V T = V + -for V M V V + V T =0
6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 12-5 Key property of ideal inverter: signal regeneration V OUT v + V + V OUT =V IN V + + + 2 V OUT V IN - - 0 0 V M = V + V + V IN 2 Ideal inverter returns well deﬁned logical outputs (0 or V + ) even in the presence of considerable noise in V IN (from voltage spikes, crosstalk, etc.) V IN V OUT V + V + V M V M 0 0 logic level restoration noise suppression V IN V OUT V + V + V M V M 0 0 V IN V OUT V + V + V M V M 0 0 pulse edge sharpening

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6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 12-6 2 ”Real” inverter : V OUT V OUT 0 slope=-1 V
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lecture12annotat - 6.012 Microelectronic Devices and...

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