Maximum Input Voltage CMOS Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
VIL = (2*Voutput+(VT0,p)-VDD+Kr*VT0,n)/(1+Kr)
This formula uses 6 Variables
Variables Used
Maximum Input Voltage CMOS - (Measured in Volt) - Maximum Input Voltage CMOS is defined as the maximum input voltage which can be interpreted as logic "0".
Output Voltage for Max Input - (Measured in Volt) - Output Voltage for Max Input CMOS is defined as the output voltage of CMOS inverter when the Maximum input voltage which can be interpreted as logic "0".
Threshold Voltage of PMOS Without Body Bias - (Measured in Volt) - Threshold Voltage of PMOS Without Body Bias CMOS is defined as the threshold voltage of the PMOS when substrate terminal is at ground (0) voltage.
Supply Voltage - (Measured in Volt) - Supply Voltage of CMOS is defined as the supply voltage given to the source terminal of the PMOS.
Transconductance Ratio - Transconductance Ratio CMOS is defined as the ratio of transconductance of NMOS to 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
Output Voltage for Max Input: 3.14 Volt --> 3.14 Volt No Conversion Required
Threshold Voltage of PMOS Without Body Bias: -0.7 Volt --> -0.7 Volt No Conversion Required
Supply Voltage: 3.3 Volt --> 3.3 Volt No Conversion Required
Transconductance Ratio: 2.5 --> 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
VIL = (2*Voutput+(VT0,p)-VDD+Kr*VT0,n)/(1+Kr) --> (2*3.14+((-0.7))-3.3+2.5*0.6)/(1+2.5)
Evaluating ... ...
VIL = 1.08
STEP 3: Convert Result to Output's Unit
1.08 Volt --> No Conversion Required
FINAL ANSWER
1.08 Volt <-- Maximum Input Voltage CMOS
(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

Maximum Input Voltage CMOS Formula

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)
VIL = (2*Voutput+(VT0,p)-VDD+Kr*VT0,n)/(1+Kr)

When the logic '0' is considered as input in the CMOS inverter circuit?

Any input voltage between the range of 0 and Maximum input Voltage(Vil) which can be interpreted as '0' is considered as logic '0'.

How to Calculate Maximum Input Voltage CMOS?

Maximum Input Voltage CMOS calculator uses 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) to calculate the Maximum Input Voltage CMOS, The Maximum Input Voltage CMOS formula is defined as the Maximum input voltage which can be interpreted as logic "0". Maximum Input Voltage CMOS is denoted by VIL symbol.

How to calculate Maximum Input Voltage CMOS using this online calculator? To use this online calculator for Maximum Input Voltage CMOS, enter Output Voltage for Max Input (Voutput), Threshold Voltage of PMOS Without Body Bias (VT0,p), Supply Voltage (VDD), Transconductance Ratio (Kr) & Threshold Voltage of NMOS Without Body Bias (VT0,n) and hit the calculate button. Here is how the Maximum Input Voltage CMOS calculation can be explained with given input values -> 1.08 = (2*3.14+((-0.7))-3.3+2.5*0.6)/(1+2.5).

FAQ

What is Maximum Input Voltage CMOS?
The Maximum Input Voltage CMOS formula is defined as the Maximum input voltage which can be interpreted as logic "0" and is represented as VIL = (2*Voutput+(VT0,p)-VDD+Kr*VT0,n)/(1+Kr) or 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). Output Voltage for Max Input CMOS is defined as the output voltage of CMOS inverter when the Maximum input voltage which can be interpreted as logic "0", Threshold Voltage of PMOS Without Body Bias CMOS is defined as the threshold voltage of the PMOS when substrate terminal is at ground (0) voltage, Supply Voltage of CMOS is defined as the supply voltage given to the source terminal of the PMOS, Transconductance Ratio CMOS is defined as the ratio of transconductance of NMOS to 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 Maximum Input Voltage CMOS?
The Maximum Input Voltage CMOS formula is defined as the Maximum input voltage which can be interpreted as logic "0" is calculated using 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). To calculate Maximum Input Voltage CMOS, you need Output Voltage for Max Input (Voutput), Threshold Voltage of PMOS Without Body Bias (VT0,p), Supply Voltage (VDD), Transconductance Ratio (Kr) & Threshold Voltage of NMOS Without Body Bias (VT0,n). With our tool, you need to enter the respective value for Output Voltage for Max Input, Threshold Voltage of PMOS Without Body Bias, Supply Voltage, Transconductance Ratio & 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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