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Group Propagation Delay Formula

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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. Check FAQs

t pg = t tree - (\log 2 (f abs) \cdot T ao + T xor)

t_pg - Propagation Delay?t_tree - Tree Adder Delay?f_abs - Absolute Frequency?T_ao - AND-OR Gate Delay?T_xor - XOR Delay?

Group Propagation Delay Example

With values

With units

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Here is how the Group Propagation Delay equation looks like with Values.

Here is how the Group Propagation Delay equation looks like with Units.

Here is how the Group Propagation Delay equation looks like.

8 = 16.3 - (\log 2 (10) \cdot 2.05 + 1.49)

8ns = 16.3ns - (\log 2 (10Hz) \cdot 2.05ns + 1.49ns)

8 = 16.3 - (\log 2 (10) \cdot 2.05 + 1.49)

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Group Propagation Delay Solution

Follow our step by step solution on how to calculate Group Propagation Delay?

FIRST Step Consider the formula

t pg = t tree - (\log 2 (f abs) \cdot T ao + T xor)

Next Step Substitute values of Variables

∴

t pg = 16.3ns - (\log 2 (10Hz) \cdot 2.05ns + 1.49ns)

Next Step Convert Units

∴

t pg = 1.6E-8s - (\log 2 (10Hz) \cdot 2.1E-9s + 1.5E-9s)

Next Step Prepare to Evaluate

∴

t pg = 1.6E-8 - (\log 2 (10) \cdot 2.1E-9 + 1.5E-9)

Next Step Evaluate

∴

t pg = 8.00004740548091E-09s

Next Step Convert to Output's Unit

∴

t pg = 8.00004740548091ns

LAST Step Rounding Answer

∴

t pg = 8ns

Group Propagation Delay Formula Elements

Variables

Functions

Propagation Delay

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.

Symbol: t_pg

Measurement: TimeUnit: ns

Note: Value should be greater than 0.

Formulas to find Propagation Delay

Tree Adder Delay

Tree Adder Delay is the delay in the circuit and is denoted by T_tree symbol.

Symbol: t_tree

Measurement: TimeUnit: ns

Note: Value should be greater than 0.

Formulas to find Tree Adder Delay

Absolute Frequency

Absolute Frequency is the number of occurrences of a particular data point in a dataset. It represents the actual count or tally of how many times a specific value appears in the data.

Symbol: f_abs

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Absolute Frequency

AND-OR Gate Delay

AND-OR Gate Delay in the gray cell is defined as the delay in the computing time in AND/OR gate when logic is passed through it.

Symbol: T_ao

Measurement: TimeUnit: ns

Note: Value should be greater than 0.

Formulas to find AND-OR Gate Delay

XOR Delay

XOR Delay is the propagation delay of XOR gate.

Symbol: T_xor

Measurement: TimeUnit: ns

Note: Value should be greater than 0.

Formulas to find XOR Delay

log2

The binary logarithm (or log base 2) is the power to which the number 2 must be raised to obtain the value n.

Syntax: log2(Number)

Other formulas in Array Datapath Subsystem category

Go Ground Capacitance

C gnd = (\frac{V agr \cdot C adj}{V tm}) - C adj

Go Carry-Ripple Adder Critical Path Delay

T ripple = t pg + (N gates - 1) \cdot T ao + T xor

Go 'XOR' Delay

T xor = T ripple - (t pg + (N gates - 1) \cdot T ao)

Go N-Bit Carry-Skip Adder

N carry = n \cdot K

How to Evaluate Group Propagation Delay?

Group Propagation Delay evaluator uses Propagation Delay = Tree Adder Delay-(log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay) to evaluate the Propagation Delay, The Group Propagation delay formula is calculated for the devices(amplifier or telecommunications system), where group delay and phase delay are device performance properties that help to characterize time delay. It is the amount of time for the various frequency components of a signal to pass through the device from input to output. Propagation Delay is denoted by t_pg symbol.

How to evaluate Group Propagation Delay using this online evaluator? To use this online evaluator for Group Propagation Delay, enter Tree Adder Delay (t_tree), Absolute Frequency (f_abs), AND-OR Gate Delay (T_ao) & XOR Delay (T_xor) and hit the calculate button.

FAQs on Group Propagation Delay

What is the formula to find Group Propagation Delay?

The formula of Group Propagation Delay is expressed as Propagation Delay = Tree Adder Delay-(log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay). Here is an example- 8E+9 = 1.63E-08-(log2(10)*2.05E-09+1.49E-09).

How to calculate Group Propagation Delay?

With Tree Adder Delay (t_tree), Absolute Frequency (f_abs), AND-OR Gate Delay (T_ao) & XOR Delay (T_xor) we can find Group Propagation Delay using the formula - Propagation Delay = Tree Adder Delay-(log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay). This formula also uses Binary Logarithm (log2) function(s).

Can the Group Propagation Delay be negative?

No, the Group Propagation Delay, measured in Time cannot be negative.

Which unit is used to measure Group Propagation Delay?

Group Propagation Delay is usually measured using the Nanosecond[ns] for Time. Second[ns], Millisecond[ns], Microsecond[ns] are the few other units in which Group Propagation Delay can be measured.

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Group Propagation Delay Formula

Group Propagation Delay Example

Group Propagation Delay Solution

Group Propagation Delay Formula Elements

Other formulas in Array Datapath Subsystem category

How to Evaluate Group Propagation Delay?

FAQs on Group Propagation Delay

Variable Name