Group Propagation Delay Solution

STEP 0: Pre-Calculation Summary
Formula Used
Propagation Delay = Tree Adder Delay-(log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay)
tpg = ttree-(log2(fabs)*Tao+Txor)
This formula uses 1 Functions, 5 Variables
Functions Used
log2 - The binary logarithm (or log base 2) is the power to which the number 2 must be raised to obtain the value n., log2(Number)
Variables Used
Propagation Delay - (Measured in Second) - 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.
Tree Adder Delay - (Measured in Second) - Tree Adder Delay is the delay in the circuit and is denoted by Ttree symbol.
Absolute Frequency - (Measured in Hertz) - 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.
AND-OR Gate Delay - (Measured in Second) - 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.
XOR Delay - (Measured in Second) - XOR Delay is the propagation delay of XOR gate.
STEP 1: Convert Input(s) to Base Unit
Tree Adder Delay: 16.3 Nanosecond --> 1.63E-08 Second (Check conversion here)
Absolute Frequency: 10 Hertz --> 10 Hertz No Conversion Required
AND-OR Gate Delay: 2.05 Nanosecond --> 2.05E-09 Second (Check conversion here)
XOR Delay: 1.49 Nanosecond --> 1.49E-09 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tpg = ttree-(log2(fabs)*Tao+Txor) --> 1.63E-08-(log2(10)*2.05E-09+1.49E-09)
Evaluating ... ...
tpg = 8.00004740548091E-09
STEP 3: Convert Result to Output's Unit
8.00004740548091E-09 Second -->8.00004740548091 Nanosecond (Check conversion here)
FINAL ANSWER
8.00004740548091 8.000047 Nanosecond <-- Propagation Delay
(Calculation completed in 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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19 Array Datapath Subsystem Calculators

Carry-Looker Adder Delay
Go Carry-Looker Adder Delay = Propagation Delay+Group Propagation Delay+((N-Input AND Gate-1)+(K-Input AND Gate-1))*AND-OR Gate Delay+XOR Delay
Multiplexer Delay
Go Multiplexer Delay = (Carry-Skip Adder Delay-(Propagation Delay+(2*(N-Input AND Gate-1)*AND-OR Gate Delay)-XOR Delay))/(K-Input AND Gate-1)
Carry-Skip Adder Delay
Go Carry-Skip Adder Delay = Propagation Delay+2*(N-Input AND Gate-1)*AND-OR Gate Delay+(K-Input AND Gate-1)*Multiplexer Delay+XOR Delay
Carry-Increamentor Adder Delay
Go Carry-Incrementor Adder Delay = Propagation Delay+Group Propagation Delay+(K-Input AND Gate-1)*AND-OR Gate Delay+XOR Delay
Critical Delay in Gates
Go Critical Delay in Gates = Propagation Delay+(N-Input AND Gate+(K-Input AND Gate-2))*AND-OR Gate Delay+Multiplexer Delay
Group Propagation Delay
Go Propagation Delay = Tree Adder Delay-(log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay)
Tree Adder Delay
Go Tree Adder Delay = Propagation Delay+log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay
Cell Capacitance
Go Cell Capacitance = (Bit Capacitance*2*Voltage Swing on Bitline)/(Positive Voltage-(Voltage Swing on Bitline*2))
Bit Capacitance
Go Bit Capacitance = ((Positive Voltage*Cell Capacitance)/(2*Voltage Swing on Bitline))-Cell Capacitance
Voltage Swing On Bitline
Go Voltage Swing on Bitline = (Positive Voltage/2)*Cell Capacitance/(Cell Capacitance+Bit Capacitance)
Ground Capacitance
Go Ground Capacitance = ((Agressor Voltage*Adjacent Capacitance)/Victim Voltage)-Adjacent Capacitance
'XOR' Delay
Go XOR Delay = Ripple Time-(Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay)
Carry-Ripple Adder Critical Path Delay
Go Ripple Time = Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay+XOR Delay
Area of Memory Containing N Bits
Go Area of Memory Cell = (Area of One Bit Memory Cell*Absolute Frequency)/Array Efficiency
Area of Memory Cell
Go Area of One Bit Memory Cell = (Array Efficiency*Area of Memory Cell)/Absolute Frequency
Array Efficiency
Go Array Efficiency = (Area of One Bit Memory Cell*Absolute Frequency)/Area of Memory Cell
N-Input 'And' Gate
Go N-Input AND Gate = N-bit Carry Skip Adder/K-Input AND Gate
N-Bit Carry-Skip Adder
Go N-bit Carry Skip Adder = N-Input AND Gate*K-Input AND Gate
K-Input 'And' Gate
Go K-Input AND Gate = N-bit Carry Skip Adder/N-Input AND Gate

Group Propagation Delay Formula

Propagation Delay = Tree Adder Delay-(log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay)
tpg = ttree-(log2(fabs)*Tao+Txor)

What is carry-look ahead adder(CLA)?

Carry-lookahead adder(CLA) is similar to the carry-skip adder, but computes group generate signals as well as group propagate signals to avoid waiting for a ripple to determine if the first group generates a carry.

How to Calculate Group Propagation Delay?

Group Propagation Delay calculator uses Propagation Delay = Tree Adder Delay-(log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay) to calculate 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 tpg symbol.

How to calculate Group Propagation Delay using this online calculator? To use this online calculator for Group Propagation Delay, enter Tree Adder Delay (ttree), Absolute Frequency (fabs), AND-OR Gate Delay (Tao) & XOR Delay (Txor) and hit the calculate button. Here is how the Group Propagation Delay calculation can be explained with given input values -> 8E+9 = 1.63E-08-(log2(10)*2.05E-09+1.49E-09).

FAQ

What is Group 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 and is represented as tpg = ttree-(log2(fabs)*Tao+Txor) or Propagation Delay = Tree Adder Delay-(log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay). Tree Adder Delay is the delay in the circuit and is denoted by Ttree symbol, 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, 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 & XOR Delay is the propagation delay of XOR gate.
How to calculate Group 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 is calculated using Propagation Delay = Tree Adder Delay-(log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay). To calculate Group Propagation Delay, you need Tree Adder Delay (ttree), Absolute Frequency (fabs), AND-OR Gate Delay (Tao) & XOR Delay (Txor). With our tool, you need to enter the respective value for Tree Adder Delay, Absolute Frequency, AND-OR Gate Delay & XOR Delay 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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