Question about propagation delays for 3 input CMOS logic gates

Thread Starter

hrstar24

Joined Apr 7, 2009
32
So I have the following CMOS logic circuit



I am pretty sure this is a logical NAND gate, but no 100%. Can someone guide me through a couple steps to get the truth table for this circuit?

Also, I need to find the equations propagation delays Tphl and Tplh for input A. I got the following equation for Tphl of just a logical inverter, but it needs to be modified in some way to fit the above circuit.



Can anyone help me?
 

Jony130

Joined Feb 17, 2009
5,600
So I have the following CMOS logic circuit



I am pretty sure this is a logical NAND gate, but no 100%. Can someone guide me through a couple steps to get the truth table for this circuit?
Well it is quite simple circuit.

Becaues if we any input will be in LOW state, then output will be in HIGH.
Thanks to QPA, QPB, QPC
And LOW output results only if all the inputs are HIGH state.
Becaues all QNA, QNB and QNC must be "ON" to get low state on the output.
 

Thread Starter

hrstar24

Joined Apr 7, 2009
32
Ah ok thanks for the explanation, can you help me out with the propagation delay problem now? The question asks for the propagation delay equation tphl if the circuit is moved to a single input (A).
 

tyblu

Joined Nov 29, 2010
199
First you have to size the gates of the transistors such that the pull-up network and pull-down network have equal strengths. You can do this with respect to your minimum technology size (smallest is "1"). For this, you'll have to refer to your prof's convention for hole to electron mobility ratio; I've used 1:2 for FETs and I believe 1:5 for GaAs, but have seen many other ratios commonly used.
 

Georacer

Joined Nov 25, 2009
5,182
In this particular circuit, and supposing we are using FETs, as tyblu said, we need the Pull Up Network to be twice as fast as the Pull Down Network. So let's say we need the PUN to have a length of 2 and the PDN a length of 1.

At the PUN the transistors are connected in parallel, so to achieve the total length of 2, we need transistors of length 2.

At the PDN the transistors are connected in series. The speed of the network is reversely analogous to its transistor lengths. Therefore, each NMOS must have a length of 3, and in total the combined length of the PDN will be 1/3+1/3+1/3=1, which is the desired.
 
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