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6.002 Fall 2000 Lecture 1 5 6.002 CIRCUITS AND ELECTRONICS Inside the Digital Gate 6.002 Fall 2000 Lecture 2 5 Review z Discretize value 0, 1 z Static discipline meet voltage thresholds Specifies how gates must be designed sender receiver forbidden region OL V OH V IL V IH V The Digital Abstraction 6.002 Fall 2000 Lecture 3 5 Review C A B 00 1 01 1 10 1 1 1 0 A B C NAND Combinational gate abstraction outputs function of input alone satisfies static discipline 6.002 Fall 2000 Lecture 4 5 For example: a digital circuit Demo D A B C A Pentium III class microprocessor is a circuit with over 4 million gates !! The RAW chip being built at the Lab for Computer Science at MIT has about 3 million gates. 3 gates here ()() BACD ⋅⋅= BA ⋅ 6.002 Fall 2000 Lecture 5 5 How to build a digital gate Analogy A B C l i k e p o w e r s u p p ly ( l i k e s w i t c h e s ) taps if A=ON AND B=ON C has H 0 else C has no H 0 2 2 Use this insight to build an AND gate. 6.002 Fall 2000 Lecture 6 5 How to build a digital gate C B A OR gate 6.002 Fall 2000 Lecture 7 5 Electrical Analogy + – Bulb C is ON if A AND B are ON, else C is off Key: “switch” device V A B C 6.002 Fall 2000 Lecture 8 5 Electrical Analogy Key: “switch” device C in out control 3-Terminal device if C = 0 short circuit between in and out else open circuit between in and out For mechanical switch, control mechanical pressure in out 1 = C equivalent ckt 0=C in out 6.002 Fall 2000 Lecture 9 5 Consider = S V “1” + – S V L R C IN OUT OUT V S V 0=C OUT V S V 1=C OUT V S V L R C OUT V Truth table for C 01 10 OUT V 6.002 Fall 2000 Lecture 10 5 What about? Truth table for O V 2 c 00 1 01 1 10 1 110 1 c Truth table for O V 2 c 00 1 010 100 110 1 c S V OUT V 1 c 2 c S V OUT V 1 c 2 c [...]... Inverter VS = 5V RL vOUT A B IN A B Note the power of abstraction The abstract inverter gate representation hides the internal details such as power supply connections, RL, GND, etc (When we build digital circuits, the and are common across all gates!) 6.002 Fall 2000 Lecture 5 15 Example vOUT 5V vOUT vIN 0V V T =1V 5V v IN The T1000 model laptop desires gates that satisfy the static discipline with voltage . 6.002 Fall 2000 Lecture 1 5 6.002 CIRCUITS AND ELECTRONICS Inside the Digital Gate 6.002 Fall 2000 Lecture 2 5 Review. S G D S TGS Vv < G TGS Vv ≥ ON R D S G e.g. Ω= KR ON 5 6.002 Fall 2000 Lecture 19 5 SR Model of MOSFET MOSFET S model TGS Vv ≥ TGS Vv < DS i DS v