Minimum Input Voltage CMOS Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
VIH = (VDD+(VT0,p)+Kr*(2*Vout+VT0,n))/(1+Kr)
This formula uses 6 Variables
Variables Used
Minimum Input Voltage - (Measured in Volt) - Minimum input voltage is the lowest voltage level that can be applied to the input terminal of a device or circuit while still ensuring proper operation and meeting specified performance criteria.
Supply Voltage - (Measured in Volt) - Supply voltage refers to the voltage level provided by a power source to an electrical circuit or device, serving as the potential difference for current flow and operation.
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.
Transconductance Ratio - Transconductance ratio is the ratio of the transconductance of one device (e.g., transistor) to another, often used to compare or characterize their performance or behavior in circuits.
Output Voltage - (Measured in Volt) - Output voltage refers to the electrical potential difference or level produced by a device or circuit at its output terminal, reflecting the signal or power provided by the system.
Threshold Voltage of NMOS Without Body Bias - (Measured in Volt) - Threshold voltage of NMOS without body bias is the minimum input voltage required to switch an NMOS transistor when no additional bias voltage is applied to the substrate (body).
STEP 1: Convert Input(s) to Base Unit
Supply Voltage: 3.3 Volt --> 3.3 Volt No Conversion Required
Threshold Voltage of PMOS Without Body Bias: -0.7 Volt --> -0.7 Volt No Conversion Required
Transconductance Ratio: 2.5 --> No Conversion Required
Output Voltage: 0.27 Volt --> 0.27 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 = (VDD+(VT0,p)+Kr*(2*Vout+VT0,n))/(1+Kr) --> (3.3+((-0.7))+2.5*(2*0.27+0.6))/(1+2.5)
Evaluating ... ...
VIH = 1.55714285714286
STEP 3: Convert Result to Output's Unit
1.55714285714286 Volt --> No Conversion Required
FINAL ANSWER
1.55714285714286 1.557143 Volt <-- Minimum Input Voltage
(Calculation completed in 00.004 seconds)

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16 CMOS Inverters Calculators

Propagation Delay for Low to High Output Transition CMOS
​ Go Time for Low to High Transition of Output = (Inverter CMOS 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 = (Inverter CMOS 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))
Load Capacitance of Cascaded Inverter CMOS
​ Go Inverter CMOS Load Capacitance = PMOS Gate Drain Capacitance+NMOS Gate Drain Capacitance+PMOS Drain Bulk Capacitance+NMOS Drain Bulk Capacitance+Inverter CMOS Internal Capacitance+Inverter CMOS Gate Capacitance
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)
Resistive Load Maximum Input Voltage CMOS
​ Go Resistive Load Maximum Input Voltage CMOS = Zero Bias Threshold Voltage+(1/(Transconductance of NMOS*Load Resistance))
Average Power Dissipation CMOS
​ Go Average Power Dissipation = Inverter CMOS Load Capacitance*(Supply Voltage)^2*Frequency
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
Maximum Input Voltage for Symmetric CMOS
​ Go Maximum Input Voltage Symmetric CMOS = (3*Supply Voltage+2*Threshold Voltage of NMOS Without Body Bias)/8
Minimum Input Voltage for Symmetric CMOS
​ Go Minimum Input Voltage Symmetric CMOS = (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 CMOS Formula

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)
VIH = (VDD+(VT0,p)+Kr*(2*Vout+VT0,n))/(1+Kr)

When logic '1' is considered as the input in cmos inverter circuit?

The input signal between minimum input voltage (VIH) which can be interpreted as logic '1' and any high logic can be considered as logic '1'.

How to Calculate Minimum Input Voltage CMOS?

Minimum Input Voltage CMOS calculator uses 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) to calculate the Minimum Input Voltage, Minimum Input Voltage CMOS is the lowest voltage level that can be applied to the input terminal of a CMOS device while ensuring proper functionality and reliable operation, typically defined to maintain signal integrity and avoid triggering unintended circuit states. Minimum Input Voltage is denoted by VIH symbol.

How to calculate Minimum Input Voltage CMOS using this online calculator? To use this online calculator for Minimum Input Voltage CMOS, enter Supply Voltage (VDD), Threshold Voltage of PMOS Without Body Bias (VT0,p), Transconductance Ratio (Kr), Output Voltage (Vout) & Threshold Voltage of NMOS Without Body Bias (VT0,n) and hit the calculate button. Here is how the Minimum Input Voltage CMOS calculation can be explained with given input values -> 1.557143 = (3.3+((-0.7))+2.5*(2*0.27+0.6))/(1+2.5).

FAQ

What is Minimum Input Voltage CMOS?
Minimum Input Voltage CMOS is the lowest voltage level that can be applied to the input terminal of a CMOS device while ensuring proper functionality and reliable operation, typically defined to maintain signal integrity and avoid triggering unintended circuit states and is represented as VIH = (VDD+(VT0,p)+Kr*(2*Vout+VT0,n))/(1+Kr) or 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). Supply voltage refers to the voltage level provided by a power source to an electrical circuit or device, serving as the potential difference for current flow and operation, 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, Transconductance ratio is the ratio of the transconductance of one device (e.g., transistor) to another, often used to compare or characterize their performance or behavior in circuits, Output voltage refers to the electrical potential difference or level produced by a device or circuit at its output terminal, reflecting the signal or power provided by the system & Threshold voltage of NMOS without body bias is the minimum input voltage required to switch an NMOS transistor when no additional bias voltage is applied to the substrate (body).
How to calculate Minimum Input Voltage CMOS?
Minimum Input Voltage CMOS is the lowest voltage level that can be applied to the input terminal of a CMOS device while ensuring proper functionality and reliable operation, typically defined to maintain signal integrity and avoid triggering unintended circuit states is calculated using 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). To calculate Minimum Input Voltage CMOS, you need Supply Voltage (VDD), Threshold Voltage of PMOS Without Body Bias (VT0,p), Transconductance Ratio (Kr), Output Voltage (Vout) & 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 PMOS Without Body Bias, Transconductance Ratio, Output 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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