Minimum Input Voltage for Symmetric CMOS Solution

STEP 0: Pre-Calculation Summary
Formula Used
Minimum Input Voltage = (5*Supply Voltage-2*Threshold Voltage of NMOS Without Body Bias)/8
VIH(sym) = (5*VDD-2*VT0,n)/8
This formula uses 3 Variables
Variables Used
Minimum Input Voltage - (Measured in Volt) - Minimum Input Voltage for Symmetric CMOS is defined as the minimum input voltage value which can be interpreted as logic '1' for symmetric CMOS inverter.
Supply Voltage - (Measured in Volt) - Supply Voltage of CMOS is defined as the supply voltage given to the source terminal of the PMOS.
Threshold Voltage of NMOS Without Body Bias - (Measured in Volt) - Threshold Voltage of NMOS Without Body Bias CMOS is defined as the threshold voltage of the NMOS when substrate terminal is at ground (0) voltage.
STEP 1: Convert Input(s) to Base Unit
Supply Voltage: 3.3 Volt --> 3.3 Volt No Conversion Required
Threshold Voltage of NMOS Without Body Bias: 0.6 Volt --> 0.6 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
VIH(sym) = (5*VDD-2*VT0,n)/8 --> (5*3.3-2*0.6)/8
Evaluating ... ...
VIH(sym) = 1.9125
STEP 3: Convert Result to Output's Unit
1.9125 Volt --> No Conversion Required
FINAL ANSWER
1.9125 Volt <-- Minimum Input Voltage
(Calculation completed in 00.004 seconds)

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17 CMOS Inverters Calculators

Propagation Delay for Low to High Output Transition CMOS
​ Go Time for Low to High Transition of Output = (Load Capacitance/(Transconductance of PMOS*(Supply Voltage-abs(Threshold Voltage of PMOS with Body Bias))))*(((2*abs(Threshold Voltage of PMOS with Body Bias))/(Supply Voltage-abs(Threshold Voltage of PMOS with Body Bias)))+ln((4*(Supply Voltage-abs(Threshold Voltage of PMOS with Body Bias))/Supply Voltage)-1))
Propagation Delay for High to Low Output Transition CMOS
​ Go Time for High to Low Transition of Output = (Load Capacitance/(Transconductance of NMOS*(Supply Voltage-Threshold Voltage of NMOS with Body Bias)))*((2*Threshold Voltage of NMOS with Body Bias/(Supply Voltage-Threshold Voltage of NMOS with Body Bias))+ln((4*(Supply Voltage-Threshold Voltage of NMOS with Body Bias)/Supply Voltage)-1))
Resistive Load Minimum Output Voltage CMOS
​ Go Resistive Load Minimum Output Voltage = Supply Voltage-Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance))-sqrt((Supply Voltage-Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance)))^2-(2*Supply Voltage/(Transconductance of NMOS*Load Resistance)))
Threshold Voltage CMOS
​ Go Threshold Voltage = (Threshold Voltage of NMOS Without Body Bias+sqrt(1/Transconductance Ratio)*(Supply Voltage+(Threshold Voltage of PMOS Without Body Bias)))/(1+sqrt(1/Transconductance Ratio))
Maximum Input Voltage CMOS
​ Go Maximum Input Voltage CMOS = (2*Output Voltage for Max Input+(Threshold Voltage of PMOS Without Body Bias)-Supply Voltage+Transconductance Ratio*Threshold Voltage of NMOS Without Body Bias)/(1+Transconductance Ratio)
Resistive Load Minimum Input Voltage CMOS
​ Go Resistive Load Minimum Input Voltage = Zero Bias Threshold Voltage+sqrt((8*Supply Voltage)/(3*Transconductance of NMOS*Load Resistance))-(1/(Transconductance of NMOS*Load Resistance))
Minimum Input Voltage CMOS
​ Go Minimum Input Voltage = (Supply Voltage+(Threshold Voltage of PMOS Without Body Bias)+Transconductance Ratio*(2*Output Voltage+Threshold Voltage of NMOS Without Body Bias))/(1+Transconductance Ratio)
Load Capacitance of Cascaded Inverter CMOS
​ Go Load Capacitance = Gate Drain Capacitance of PMOS+Gate Drain Capacitance of NMOS+Drain Bulk Capacitance of PMOS+Drain Bulk Capacitance of NMOS+Internal Capacitance+Gate Capacitance
Energy Delivered by Power Supply
​ Go Energy Delivered by Power Supply = int(Supply Voltage*Instantaneous Drain Current*x,x,0,Charging Interval of Capacitor)
Resistive Load Maximum Input Voltage CMOS
​ Go Resistive Load Maximum Input Voltage CMOS = Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance))
Average Propagation Delay CMOS
​ Go Average Propagation Delay = (Time for High to Low Transition of Output+Time for Low to High Transition of Output)/2
Average Power Dissipation CMOS
​ Go Average Power Dissipation = Load Capacitance*(Supply Voltage)^2*Frequency
Maximum Input Voltage for Symmetric CMOS
​ Go Maximum Input Voltage = (3*Supply Voltage+2*Threshold Voltage of NMOS Without Body Bias)/8
Minimum Input Voltage for Symmetric CMOS
​ Go Minimum Input Voltage = (5*Supply Voltage-2*Threshold Voltage of NMOS Without Body Bias)/8
Oscillation Period Ring Oscillator CMOS
​ Go Oscillation Period = 2*Number of Stages Ring Oscillator*Average Propagation Delay
Noise Margin for High Signal CMOS
​ Go Noise Margin for High Signal = Maximum Output Voltage-Minimum Input Voltage
Transconductance Ratio CMOS
​ Go Transconductance Ratio = Transconductance of NMOS/Transconductance of PMOS

Minimum Input Voltage for Symmetric CMOS Formula

Minimum Input Voltage = (5*Supply Voltage-2*Threshold Voltage of NMOS Without Body Bias)/8
VIH(sym) = (5*VDD-2*VT0,n)/8

What is the value of transconductance ratio for symmetric CMOS inverter?

The value of the transconductance ratio Kr for the symmetric CMOS inverter is 1 because transconductance of PMOS and NMOS both are same (Kn = Kp).

How to Calculate Minimum Input Voltage for Symmetric CMOS?

Minimum Input Voltage for Symmetric CMOS calculator uses Minimum Input Voltage = (5*Supply Voltage-2*Threshold Voltage of NMOS Without Body Bias)/8 to calculate the Minimum Input Voltage, The Minimum Input Voltage for Symmetric CMOS formula is defined as the minimum input voltage value which can be interpreted as logic '1' for symmetric CMOS inverter. Minimum Input Voltage is denoted by VIH(sym) symbol.

How to calculate Minimum Input Voltage for Symmetric CMOS using this online calculator? To use this online calculator for Minimum Input Voltage for Symmetric CMOS, enter Supply Voltage (VDD) & Threshold Voltage of NMOS Without Body Bias (VT0,n) and hit the calculate button. Here is how the Minimum Input Voltage for Symmetric CMOS calculation can be explained with given input values -> 1.9125 = (5*3.3-2*0.6)/8.

FAQ

What is Minimum Input Voltage for Symmetric CMOS?
The Minimum Input Voltage for Symmetric CMOS formula is defined as the minimum input voltage value which can be interpreted as logic '1' for symmetric CMOS inverter and is represented as VIH(sym) = (5*VDD-2*VT0,n)/8 or Minimum Input Voltage = (5*Supply Voltage-2*Threshold Voltage of NMOS Without Body Bias)/8. Supply Voltage of CMOS is defined as the supply voltage given to the source terminal of the PMOS & Threshold Voltage of NMOS Without Body Bias CMOS is defined as the threshold voltage of the NMOS when substrate terminal is at ground (0) voltage.
How to calculate Minimum Input Voltage for Symmetric CMOS?
The Minimum Input Voltage for Symmetric CMOS formula is defined as the minimum input voltage value which can be interpreted as logic '1' for symmetric CMOS inverter is calculated using Minimum Input Voltage = (5*Supply Voltage-2*Threshold Voltage of NMOS Without Body Bias)/8. To calculate Minimum Input Voltage for Symmetric CMOS, you need Supply Voltage (VDD) & Threshold Voltage of NMOS Without Body Bias (VT0,n). With our tool, you need to enter the respective value for Supply Voltage & Threshold Voltage of NMOS Without Body Bias and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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