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Electronics Summary CS/ECE 5710/6710 Digital VLSI Design Voltage is a measure of electrical potential energy Current is moving charge caused by voltage Resistance reduces current flow Ohms Law: V = I R Energy (joules): work


  1. Electronics Summary CS/ECE 5710/6710 Digital VLSI Design  Voltage is a measure of electrical potential energy  Current is moving charge caused by voltage  Resistance reduces current flow  Ohm’s Law: V = I R Energy (joules): work required to  Power is work over time move one coulomb of charge by one volt or work done to produce one watt  P = V I = I 2 R = V 2 /R for one sec  Capacitors store charge  It takes time to charge/ discharge a capacitor  Time to charge/discharge is related exponentially to RC  It takes energy to charge a capacitor  Energy stored in a capacitor is (1/2)CV 2 Reminder: Voltage Division Example of Voltage Division  Find the voltage across any series-connected  Find the voltage at point A with respect to resistors GND How Does This Relate to VLSI? Example of Voltage Division  Find the voltage at point A with respect to GND  1

  2. Two Types of CMOS Transistors Model of a CMOS Transistor CMOS Transistors Silicon Lattice  Transistors are built on a silicon substrate  Complementary Metal Oxide Semiconductor  Silicon is a Group IV material  Two types of transistors  Forms crystal lattice with bonds to four  Built on silicon substrate neighbors  “majority carrier” devices  Field-effect transistors  An electric field attracts carriers to form a conducting channel in the silicon…  We’ll get much more of this later…  For now, just some basic abstractions Figures from Reid Harrison “Semi” conductor? “Semi” conductor?  Thermal energy (atomic-scale vibrations) can  Room temperature: 1.5x10 10 free electrons per cubic centimeter shake an electron loose  But, 5x10 22 silicon atoms / cc  Leaves a “hole” behind  So, one out of every 3 trillion atoms has a missing e Figures from Reid Harrison Figures from Reid Harrison  2

  3. Dopants Dopants  Group V: extra electron (n-type)  Note that each type of doped silicon is electrostatically neutral in the large  Phosphorous, Arsenic,  Consists of mobile electrons and holes  Group III: missing electron, (p-type)  And fixed charges (dopant atoms)  Usually Boron Figures from Reid Harrison Figures from Reid Harrison p-n Junctions p-n Junctions  A junction between p-type and n-type  Two mechanisms for carrier (hole or electron) motion semiconductor forms a diode.  Drift - requires an electric field  Current flows only in one direction  Diffusion – requires a concentration gradient Figures from Reid Harrison p-n Junctions p-n Junctions  With no external voltage diffusion causes a  Eventually reaches equilibrium where diffusion depletion region current offsets drift current  Causes an electric field because of charge recombination  Causes drift current… Figures from Reid Harrison Figures from Reid Harrison  3

  4. N-type Transistor p-n Junctions  By applying an external voltage you can modulate the width of the depletion region and cause diffusion or drift to dominate… D + G Vds i electrons S - +Vgs Figures from Reid Harrison nMOS Operation nMOS Operation Cont.  Body is commonly tied to ground (0 V)  When the gate is at a high voltage:  When the gate is at a low voltage:  Positive charge on gate of MOS capacitor  Negative charge attracted to body  P-type body is at low voltage  Inverts a channel under gate to n-type  Source-body and drain-body diodes are OFF  Now current can flow through n-type silicon  No current flows, transistor is OFF from source through channel to drain, transistor is ON P-type Transistor pMOS Transistor  Similar, but doping and voltages reversed  Body tied to high voltage (V DD )  Gate low: transistor ON  Gate high: transistor OFF  Bubble indicates inverted behavior S + -Vgs G Vsd i holes - D  4

  5. A Cutaway View Transistors as Switches  CMOS structure with both transistor types  For now, we’ll abstract away most analog details… D Good 0 Good 1 G G=0 G=1 S Poor 1 Good 0 S Good 0 Good 1 G G=0 G=1 D Poor 0 Good 1 Not Perfect Switches! “Switching Circuit” “AND” Circuit  For example, a switch can control when a  Both switch X AND switch Y need to be light comes on or off closed for the light to light up +5v +5v X No electricity can flow Y 0v 0v “OR” Circuit CMOS Inverter  The light comes on if either X OR Y are closed +5v X Y 0v  5

  6. CMOS Inverter CMOS Inverter A Y A Y 0 0 1 1 ? CMOS Inverter CMOS Inverter A Y A Y 0 0 1 1 0 1 0 Timing Issues in CMOS Power Consumption  6

  7. CMOS NAND Gate CMOS NAND Gate A B Y 0 0 0 1 1 0 1 1 CMOS NAND Gate CMOS NAND Gate A B Y A B Y 0 0 1 0 0 1 0 1 0 1 1 1 0 1 0 1 1 1 1 CMOS NAND Gate CMOS NAND Gate A B Y A B Y 0 0 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0  7

  8. CMOS NOR Gate 3-input NAND Gate  Y pulls low if ALL inputs are 1  Y pulls high if ANY input is 0 3-input NAND Gate N-type and P-type Uses  Because of the imperfect nature of the the  Y pulls low if ALL inputs are 1 transistor switches  Y pulls high if ANY input is 0  ALWAYS use N-type to pull low  ALWAYS use P-type to pull high  If you need to pull both ways, use them both In S=0, In = Out S S S=1, In = Out Out Switch to Chalkboard  Complex Gate  Tri-State  Latch  D-register  XOR  8

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