Design of NAND, NOR Gates using SPICE Code

SPICE

A spice input file, also called source file, consistsof three parts:

  • Data statements: These statements are description of the components and their I nterconnections.

  • Control statements: These statements are responsible to tell SPICE simulator what type of analysis to perform on the circuit.

  • Output statements: These statements specify what outputs are to be printed or plotted.

Although these statements may appear in any order, it is recommended that they be given in the above sequence. Two other statements are required: the title statement and the end statement. The title statement is the first line and can contain any information, while the end statement is always .END. The title statement must be a line or word. In addition, you can insert comment statements, which must begin with an asterisk (*) and are ignored by SPICE Simulator.

1. Data Statements

(A).Independent DC Sources

N1 is the positive terminal node. N2 is the negative terminal node. Type can be DC, AC or TRAN, depending on the type of analysis. Value gives the value of the source. The name of a voltage and current source must start with V and I, respectively.

The positive current direction through the current or voltage source is from the positive (N1) node to the negative (N2) node:

(B) Elements: for example MOSFETS

The MOS transistor name (Mname) has to start with a M; ND, NG, NS and NB are the node numbers of the Drain, Gate, Source and Bulk terminals, respectively. ModName is the name of the transistor model (NMOS or PMOS). L and W are the length and width of the gate (in m).

  1. Commands or Control Statements:

.TRAN Statement

This statement specifies the time interval over which the transient analysis takes place, and the time increments. The format is as follows: TSTEP is the printing increment. TSTOP is the final time TSTART is the starting time (if omitted, TSTART is assumed to be zero) TMAX is the maximum step size. UIC stands for Use Initial Conditions. If UIC is specified then simulator will use the initial conditions specified in the element statements.

3.Output Statements

These statements will instruct Simulator what output to generate. If you do not specify an output statement, Simulator will always calculate the DC operating points. The two types of outputs are the prints and plots. A print is a table of data points and a plot is a graphical representation. The format is as follows:

In above format TYPE specifies the type of analysis to be printed or plotted and can be:

The output variables are Y1, Y2 and can be voltage or currents in voltage sources. Node voltages and device currents can be specified as magnitude (M), phase (P), real (R) or imaginary (I) parts by adding the suffix to V or I as follows:

M: Magnitude.

DB: Magnitude in dB (decibels).

P: Phase.

R: Real part.

I: Imaginary part.

Complete example (Inverter-Netlist):

In introduction of this experiment we have seen what is spice actually. In first experiment we have designed inverter, so as we have read in introduction that whenever you place anyting like transistor or capacitor etc., there is a code which is written at back end corresponding to the element placed on screen. So in this experiment we are going to learn what is taht code which is written in the back end, that is, we learn how to write that code directly, that is, we will learn basic inverter designing using spice coding.

The following is the code for inverter in spice along with some of the explaination.

Now we will be learning actually what parameters are specified by each of the element in every line in detail

FIRST LINE

First line of spice code is always a comment. So this line is always ignored by spice. Spice does not do any kind of processing on this line.

INCLUDE LINE

.include line includes the model file but you should confirm that your model file should be in your current directory in which you are working.

  1. .lib 'models25.txt'

    • This line includes a library file named 'models25.txt.' The library file typically contains information about models for various components used in the circuit.
  2. TT mn1 VSS IN OUT VSS nmos |=0.24u w=0.72u

    • Defines an nmos transistor named 'mn1' with specific characteristics:
      • TT: Type or Model Name (nmos transistor).
      • mn1: Instance name.
      • VSS IN OUT VSS: Connections for source, gate, drain, and bulk (substrate).
      • nmos: Specifies the transistor type.
      • |=0.24u: Sets the zero-bias threshold voltage to 0.24 volts.
      • w=0.72u: Specifies the width of the transistor as 0.72 microns.
  3. mp1 VDD IN OUT VDD pmos |=0.24u w=0.72u

    • Similar to the previous line but for a pmos transistor:
      • mp1: Instance name.
      • VDD IN OUT VDD: Connections for source, gate, drain, and bulk.
      • pmos: Specifies the transistor type.
      • |=0.24u: Sets the zero-bias threshold voltage to 0.24 volts.
      • w=0.72u: Specifies the width of the transistor as 0.72 microns.
  4. cLoad OUT VSS 50fF

    • Defines a capacitor named 'cLoad':
      • OUT VSS: Connections for one terminal connected to OUT and the other to VSS.
      • 50fF: Specifies the capacitance of the capacitor as 50 femtofarads.
  5. vVDD VDD 0 2.5

    • Defines a voltage source named 'vVDD':
      • VDD 0: Connections for positive terminal to VDD and negative terminal to the reference node (0 volts).
      • 2.5: Specifies the voltage value as 2.5 volts.
  6. vVSS VSS 0 0

    • Defines a voltage source named 'vVSS':
      • VSS 0: Connections for positive terminal to VSS and negative terminal to the reference node (0 volts).
      • 0: Specifies the voltage value as 0 volts.
  7. VIN IN 0 pulse(0 2.5 100ps 100ps 100ps 2ns 4ns)

    • Defines a pulse voltage source named 'VIN':
      • IN 0: Connections for positive terminal to IN and negative terminal to the reference node (0 volts).
      • pulse(0 2.5 100ps 100ps 100ps 2ns 4ns): Specifies the pulse characteristics:
        • 0 2.5: Pulse amplitude from 0 to 2.5 volts.
        • 100ps: Rise time.
        • 100ps: Fall time.
        • 100ps: Pulse width.
        • 2ns: Period.
        • 4ns: Delay.
  8. .dc vIN start=0 stop=2.5 step=0.01

    • Specifies a DC sweep analysis of the voltage source 'vIN':
      • start=0: Starting voltage value.
      • stop=2.5: Ending voltage value.
      • step=0.01: Voltage step size.
  9. .tran 1ps 8ns

    • Specifies a transient analysis with:
      • 1ps: Time step of 1 picosecond.
      • 8ns: Total simulation time of 8 nanoseconds.
  10. .option post

    • Sets a post-processing option, which may include additional analysis or data extraction after the simulation. This line directs spice to make an output file
  11. .end

    • Marks the end of the spice code.

TRANSISTOR LEVEL NAND NOR GATES

SWITCHING BEHAVIOUR OF TRANSISTOR

The gate of the MOS transistor controls the passage of the current between the drain and source.If the voltage at the gate is Vdd, no current flows between the drain and source of PMOS and same is the case with NMOS if its gate is grounded. This characteristic of MOS transistors, enables it to be viewed as a switch. The switching behaviour of nmos and pmos device is shown in the figure below. Here the input 0 indicates that the gate is grounded and input 1 indicates that Vdd is applied to the gate:

SERIES AND PARALLEL CONNECTION

The transistor level schematic of any combinational logic can be obtained by placing two or more n/p-switches in series or parallel.

If switches are connected in series then the composite switch hence constructed is closed when both the switches are closed. The series connection is shown in the figure below. The table indicates the states of the switch contructed by series connection depending on the inputs A and B

Series connection of NMOS devices

Series connection of PMOS devices

If the switches are connected in parallel then the composite switch hence constructed is closed when either or both of the switches are closed. The parallel connection is shown in the figure below. The table indicates the states of the switch obtained by parallel connection depending on the inputs A and B

Parallel connection of NMOS devices

Parallel connection of NMOS devices

Parallel connection of PMOS devices

By using any combinations of the above constructions, CMOS combinational gates can be obtained. In the following section, Karnaugh maps for NAND and NOR have been used to determine the required combination

K-MAP FOR NAND

Thus for NAND gate PMOS devices are connected in parallel between Vdd and output node, whereas the NMOS devices are in series between output node and ground.

K-MAP FOR NOR

Thus for NOR gate PMOS devices are connected in series between Vdd and output node, whereas the NMOS devices are in parallel between output node and ground.