Topics Pseudo-nMOS gates. DCVS gates. Domino gates. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Pseudo-nMOS Uses a p-type as a resistive pullup, n-type network for pulldowns. Always on. Modern VLSI Design 3e: Chapter 3 a b out 0 0 1 0 1 0 1 0 0 1 1 0 Copyright 1998, 2002 Prentice Hall PTR Characteristics Consumes static power. Has much smaller pullup network than static gate. Pulldown time is longer because pullup is fighting. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Output voltages Logic 1 output is always at VDD. Logic 0 output is above Vss. VOL = 0.25 (VDD - VSS) is one plausible choice. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Producing output voltages For logic 0 output, pullup and pulldown form a voltage divider. Must choose n, p transistor sizes to create effective resistances of the required ratio. Effective resistance of pulldown network must be computed in worst case—series ntypes means larger transistors. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Transistor ratio calculation In steady state logic 0 output: – pullup is in linear region,Vds = Vout - (VDD VSS) ; – pulldown is in saturation. Pullup and pulldown have same current flowing through them. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Transistor ratio, cont’d. Equate two currents with pull-down transistor in saturation and pull-up in linear region: – Idp = Idd. Using 0.5 mm parameters, 3.3V power supply: – Wp/Lp / Wn/Ln = 3.9. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR DCVS logic DCVSL = differential cascode voltage logic. Static logic—consumes no dynamic or static power. Uses latch to compute output quickly. Requires true/complement inputs, produces true/complement outputs. The cascode (sometimes verbified to cascoding) is a universal technique for improving analog circuit performance, applicable to both vacuum tubes and transistors. The word was first used in an article by F.V. Hunt and R.W. Hickman in 1939, in a discussion for application in low-voltage stabilizers. They proposed a cascade of two triodes (first one with common cathode, the second one with common grid) as a replacement of a pentode. http://en.wikipedia.org/wiki/Cascode Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR DCVS structure Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR DCVS operation Exactly one of true/complement pulldown networks will complete a path to the power supply. Pulldown network will lower output voltage, turning on other p-type, which also turns off p-type for node which is going down. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR DCVS example Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Precharged logic Precharged logic uses stored charge to help evaluation. Precharge node, selectively discharge it. Take advantage of higher speed of n-types. Requires multiple phases for evaluation. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Domino logic Uses precharge clock to compute output in two phases: – precharge; – evaluate. Is not a complete logic family—cannot invert. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Domino gate structure Domino OR gate Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Domino phases Controlled by clock . Precharge: p-type pullup precharges the storage node; inverter ensures that output goes low. Evaluate: storage node may be pulled down, so output goes up. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Domino buffer Output inverter is needed for two reasons: – make sure that outputs start low, go high so that domino output can be connected to another domino gate; – protects storage node from outside influence. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Domino operation Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Domino effect Gate outputs fall in sequence: gate 1 Modern VLSI Design 3e: Chapter 3 gate 2 gate 3 Copyright 1998, 2002 Prentice Hall PTR Monotonicity Domino gates inputs must be monotonically increasing: glitch causes storage node to discharge. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Output buffer Inverting buffer isolates storage node. Storage node and inverter have correlated values. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Using domino logic Can rewrite logic expression using De Morgan’s Laws: – (a + b)’ = a’b’ – (ab)’ = a’ + b’ Add inverters to network inputs/outputs as required. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Domino and stored charge Charge can be stored in source/drain connections between pulldowns. Stored charge can be sufficient to affect precharge node. Can be averted by precharging the internal pulldown network nodes along with the precharge node. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR Homework Sets 3-4 Homework Set 3: Problems 2-13,2-19,2,pp. 106-108 Problems 3-1(c), 3.2(d), 3.7, 3.9, 3.12 pp. 179-181 Due, October 16, 2006. Homework Set 4: Problems 3-15, 3-16, 3.19(b), 3.20(b), p. 182. Due, October 23, 2006. Modern VLSI Design 3e: Chapter 3 Copyright 1998, 2002 Prentice Hall PTR