Normalized Delay Calculator

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CMOS Delay Characteristics

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✖Total Propagation delay typically refers to the rise time or fall time in logic gates. This is the time it takes for a logic gate to change its output state based on a change in the input state.ⓘ Total Propagation Delay [t_pd]			+10% -10%
✖Propagation Delay Capaitance is the delay of an ideal fanout-of-1 inverter with no parasitic capacitance.ⓘ Propagation Delay Capaitance [t_c]			+10% -10%

✖The Normalized delay is a measure used to compare the delay of a specific circuit or gate with the delay of a reference gate, often an ideal inverter.ⓘ Normalized Delay [d]

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Normalized Delay

Formula

`"d" = "t"_{"pd"}/"t"_{"c"}`

Example

`"221.1838"="71ns"/"0.321ns"`

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Normalized Delay Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normalized Delay = Total Propagation Delay/Propagation Delay Capaitance
d = t_pd/t_c
This formula uses 3 Variables

Variables Used

Normalized Delay - The Normalized delay is a measure used to compare the delay of a specific circuit or gate with the delay of a reference gate, often an ideal inverter.
Total Propagation Delay - (Measured in Second) - Total Propagation delay typically refers to the rise time or fall time in logic gates. This is the time it takes for a logic gate to change its output state based on a change in the input state.
Propagation Delay Capaitance - (Measured in Second) - Propagation Delay Capaitance is the delay of an ideal fanout-of-1 inverter with no parasitic capacitance.

STEP 1: Convert Input(s) to Base Unit

Total Propagation Delay: 71 Nanosecond --> 7.1E-08 Second (Check conversion here)
Propagation Delay Capaitance: 0.321 Nanosecond --> 3.21E-10 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = t_pd/t_c --> 7.1E-08/3.21E-10

Evaluating ... ...

d = 221.183800623053

STEP 3: Convert Result to Output's Unit

221.183800623053 --> No Conversion Required

FINAL ANSWER

221.183800623053 ≈ 221.1838 <-- Normalized Delay

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 13 CMOS Delay Characteristics Calculators

Delay Rise

Go Delay Rise = Intrinsic Rise Delay+(Rise Resistance*Delay Capacitance)+(Slope Rise*Delay Previous)

Delay of AND-OR Gate in Gray Cell

Go Delay of AND OR Gate = (Critical Path Delay-Total Propagation Delay-XOR Gate Delay)/(Gates on Critical Path-1)

Delay of 1-Bit Propagate Gates

Go Total Propagation Delay = Critical Path Delay-((Gates on Critical Path-1)*Delay of AND OR Gate+XOR Gate Delay)

Propagation Delay in Circuit

Go Circuit Propagation Delay = (Propagation Delay High to Low+Propagation Delay Low to High)/2

Propagation Delay without Parasitic Capacitance

Go Propagation Delay Capaitance = Circuit Propagation Delay/Normalized Delay

Propagation Delay

Go Total Propagation Delay = Normalized Delay*Propagation Delay Capaitance

Normalized Delay

Go Normalized Delay = Total Propagation Delay/Propagation Delay Capaitance

Voltage-Controlled Delay Line

Go Voltage-Controlled Delay Line = Small Deviation Delay/VCDL Gain

Small Deviation Delay

Go Small Deviation Delay = VCDL Gain*Voltage-Controlled Delay Line

VCDL Gain

Go VCDL Gain = Small Deviation Delay/Voltage-Controlled Delay Line

Edge Rate

Go Edge Rate = (Rise Time+Fall Time)/2

Fall Time

Go Fall Time = 2*Edge Rate-Rise Time

Rise Time

Go Rise Time = 2*Edge Rate-Fall Time

Normalized Delay Formula

Normalized Delay = Total Propagation Delay/Propagation Delay Capaitance
d = t_pd/t_c

Explain sizing of the inverter?

In order to drive the desired load capacitance we have to increase the size (width) of the inverters to get an optimized performance. This is referred as sizing of the inverter.

How to Calculate Normalized Delay?

Normalized Delay calculator uses Normalized Delay = Total Propagation Delay/Propagation Delay Capaitance to calculate the Normalized Delay, The Normalized delay formula is a measure used to compare the delay of a specific circuit or gate with the delay of a reference gate, often an ideal inverter. The purpose of normalizing the delay is to provide a relative understanding of how fast or slow a circuit is compared to a baseline reference. Normalized Delay is denoted by d symbol.

How to calculate Normalized Delay using this online calculator? To use this online calculator for Normalized Delay, enter Total Propagation Delay (t_pd) & Propagation Delay Capaitance (t_c) and hit the calculate button. Here is how the Normalized Delay calculation can be explained with given input values -> 221.1838 = 7.1E-08/3.21E-10.

FAQ

What is Normalized Delay?

The Normalized delay formula is a measure used to compare the delay of a specific circuit or gate with the delay of a reference gate, often an ideal inverter. The purpose of normalizing the delay is to provide a relative understanding of how fast or slow a circuit is compared to a baseline reference and is represented as d = t_pd/t_c or Normalized Delay = Total Propagation Delay/Propagation Delay Capaitance. Total Propagation delay typically refers to the rise time or fall time in logic gates. This is the time it takes for a logic gate to change its output state based on a change in the input state & Propagation Delay Capaitance is the delay of an ideal fanout-of-1 inverter with no parasitic capacitance.

How to calculate Normalized Delay?

The Normalized delay formula is a measure used to compare the delay of a specific circuit or gate with the delay of a reference gate, often an ideal inverter. The purpose of normalizing the delay is to provide a relative understanding of how fast or slow a circuit is compared to a baseline reference is calculated using Normalized Delay = Total Propagation Delay/Propagation Delay Capaitance. To calculate Normalized Delay, you need Total Propagation Delay (t_pd) & Propagation Delay Capaitance (t_c). With our tool, you need to enter the respective value for Total Propagation Delay & Propagation Delay Capaitance 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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