Minimum Input Voltage CMOS Calculator

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CMOS Inverters

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✖Supply Voltage of CMOS is defined as the supply voltage given to the source terminal of the PMOS.ⓘ Supply Voltage [V_DD]			+10% -10%
✖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.ⓘ Threshold Voltage of PMOS Without Body Bias [V_T0,p]			+10% -10%
✖Transconductance Ratio CMOS is defined as the ratio of transconductance of NMOS to the PMOS.ⓘ Transconductance Ratio [K_r]			+10% -10%
✖Output Voltage for Min Input Voltage CMOS is defined as the output voltage of the cmos inverter when minimum input voltage is given which can be interpreted as '1'.ⓘ Output Voltage [V_out]			+10% -10%
✖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.ⓘ Threshold Voltage of NMOS Without Body Bias [V_T0,n]			+10% -10%

✖Minimum Input Voltage CMOS is defined as Minimum input voltage which can be interpreted as logic "1".ⓘ Minimum Input Voltage CMOS [V_IH]

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Formula

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Minimum Input Voltage CMOS

Formula

`"V"_{"IH"} = ("V"_{"DD"}+("V"_{"T0,p"})+"K"_{"r"}*(2*"V"_{"out"}+"V"_{"T0,n"}))/(1+"K"_{"r"})`

Example

`"1.557143V"=("3.3V"+("-0.7V")+"2.5"*(2*"0.27V"+"0.6V"))/(1+"2.5")`

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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)
V_IH = (V_DD+(V_T0,p)+K_r*(2*V_out+V_T0,n))/(1+K_r)
This formula uses 6 Variables

Variables Used

Minimum Input Voltage - (Measured in Volt) - Minimum Input Voltage CMOS is defined as Minimum input voltage which can be interpreted as logic "1".
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 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 CMOS is defined as the ratio of transconductance of NMOS to the PMOS.
Output Voltage - (Measured in Volt) - Output Voltage for Min Input Voltage CMOS is defined as the output voltage of the cmos inverter when minimum input voltage is given which can be interpreted as '1'.
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 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

V_IH = (V_DD+(V_T0,p)+K_r*(2*V_out+V_T0,n))/(1+K_r) --> (3.3+((-0.7))+2.5*(2*0.27+0.6))/(1+2.5)

Evaluating ... ...

V_IH = 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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< 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 CMOS Formula

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

The input signal between minimum input voltage (V_IH) 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, The Minimum Input Voltage CMOS formula is defined as Minimum input voltage which can be interpreted as logic "1". Minimum Input Voltage is denoted by V_IH 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 (V_DD), Threshold Voltage of PMOS Without Body Bias (V_T0,p), Transconductance Ratio (K_r), Output Voltage (V_out) & Threshold Voltage of NMOS Without Body Bias (V_T0,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?

The Minimum Input Voltage CMOS formula is defined as Minimum input voltage which can be interpreted as logic "1" and is represented as V_IH = (V_DD+(V_T0,p)+K_r*(2*V_out+V_T0,n))/(1+K_r) 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 of CMOS is defined as the supply voltage given to the source terminal of the PMOS, 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 CMOS is defined as the ratio of transconductance of NMOS to the PMOS, Output Voltage for Min Input Voltage CMOS is defined as the output voltage of the cmos inverter when minimum input voltage is given which can be interpreted as '1' & 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 CMOS?

The Minimum Input Voltage CMOS formula is defined as Minimum input voltage which can be interpreted as logic "1" 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 (V_DD), Threshold Voltage of PMOS Without Body Bias (V_T0,p), Transconductance Ratio (K_r), Output Voltage (V_out) & Threshold Voltage of NMOS Without Body Bias (V_T0,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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