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## Credits

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
Shobhit Dimri has created this Calculator and 500+ more calculators!
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1000+ more calculators!

STEP 0: Pre-Calculation Summary
Formula Used
tree_adder_delay = propagation delay+log2(n-input AND gate)*Delay of the AND-OR gate+xor delay
Ttree = τ+log2(n)*tAO+Txor
This formula uses 2 Functions, 4 Variables
Functions Used
log2 - Binary logarithm function (base 2), log2(Number)
log - Logarithm function, log(Number, Base)
Variables Used
propagation delay- propagation delay is the amount of time it takes for the head of the signal to travel from the sender to the receiver.
n-input AND gate- n-input AND gate is n number of and gate
Delay of the AND-OR gate - Delay of the AND-OR gate in the gray cell (Measured in Second)
xor delay - xor delay is delay of the final sum XOR (Measured in Second)
STEP 1: Convert Input(s) to Base Unit
propagation delay: 20 --> No Conversion Required
n-input AND gate: 2 --> No Conversion Required
Delay of the AND-OR gate: 5 Second --> 5 Second No Conversion Required
xor delay: 8 Second --> 8 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ttree = τ+log2(n)*tAO+Txor --> 20+log2(2)*5+8
Evaluating ... ...
Ttree = 33
STEP 3: Convert Result to Output's Unit
33 --> No Conversion Required
(Calculation completed in 00.000 seconds)

## < 10+ CMOS-VLSI Design Calculators

Drain Voltage
drain_voltage = sqrt(dynamic power/frequency*Capacitance) Go
Gate to Channel Voltage
gate_to_channel_voltage = (Channel Charge/Gate Capacitance)+Threshold voltage Go
Threshold Voltage
threshold_voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance) Go
Gate Capacitance
channel_charge = Gate Capacitance*(Gate to Channel Voltage-Threshold voltage) Go
Channel Charge
channel_charge = Gate Capacitance*(Gate to Channel Voltage-Threshold voltage) Go
Capacitor dynamic power
dynamic_power = Drain Voltage^2*frequency*Capacitance Go
Potential gate to Collector
potential_gate_to_collector = (Potential Gate to Source+Potential Gate to Drain)/2 Go
Potential Gate to Drain
potential_gate_to_drain = 2*potential gate to collector-Potential Gate to Source Go
Static Current
static_current = Static power/Drain Voltage Go
Static Power Dissipation
static_power = static current*Drain Voltage Go

tree_adder_delay = propagation delay+log2(n-input AND gate)*Delay of the AND-OR gate+xor delay
Ttree = τ+log2(n)*tAO+Txor

## Why is the substrate in NMOS connected to Ground and in PMOS to VDD?

we try to reverse bias, not the channel and the substrate but we try to maintain the drain, source junctions reverse biased with respect to the substrate so that we don't lose our current into the substrate.

## How to Calculate Tree Adder Delay?

Tree Adder Delay calculator uses tree_adder_delay = propagation delay+log2(n-input AND gate)*Delay of the AND-OR gate+xor delay to calculate the Tree Adder Delay, The Tree Adder Delay formula is defined as This comes at the cost of many long wires that must be routed between stages. The tree also contains more PG cells; while this may not impact the area if the adder layout is on a regular grid, it will increase power consumption. Despite these costs, the Kogge-Stone tree is widely used in high-performance 32-bit and 64-bit adders.In summary, a Sklansky or Kogge-Stone tree adder reduces the critical path. Tree Adder Delay and is denoted by Ttree symbol.

How to calculate Tree Adder Delay using this online calculator? To use this online calculator for Tree Adder Delay, enter propagation delay (τ), n-input AND gate (n), Delay of the AND-OR gate (tAO) and xor delay (Txor) and hit the calculate button. Here is how the Tree Adder Delay calculation can be explained with given input values -> 33 = 20+log2(2)*5+8.

### FAQ

The Tree Adder Delay formula is defined as This comes at the cost of many long wires that must be routed between stages. The tree also contains more PG cells; while this may not impact the area if the adder layout is on a regular grid, it will increase power consumption. Despite these costs, the Kogge-Stone tree is widely used in high-performance 32-bit and 64-bit adders.In summary, a Sklansky or Kogge-Stone tree adder reduces the critical path and is represented as Ttree = τ+log2(n)*tAO+Txor or tree_adder_delay = propagation delay+log2(n-input AND gate)*Delay of the AND-OR gate+xor delay. propagation delay is the amount of time it takes for the head of the signal to travel from the sender to the receiver, n-input AND gate is n number of and gate, Delay of the AND-OR gate in the gray cell and xor delay is delay of the final sum XOR.
How to calculate Tree Adder Delay?
The Tree Adder Delay formula is defined as This comes at the cost of many long wires that must be routed between stages. The tree also contains more PG cells; while this may not impact the area if the adder layout is on a regular grid, it will increase power consumption. Despite these costs, the Kogge-Stone tree is widely used in high-performance 32-bit and 64-bit adders.In summary, a Sklansky or Kogge-Stone tree adder reduces the critical path is calculated using tree_adder_delay = propagation delay+log2(n-input AND gate)*Delay of the AND-OR gate+xor delay. To calculate Tree Adder Delay, you need propagation delay (τ), n-input AND gate (n), Delay of the AND-OR gate (tAO) and xor delay (Txor). With our tool, you need to enter the respective value for propagation delay, n-input AND gate, Delay of the AND-OR gate and xor delay and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Tree Adder Delay?
In this formula, Tree Adder Delay uses propagation delay, n-input AND gate, Delay of the AND-OR gate and xor delay. We can use 10 other way(s) to calculate the same, which is/are as follows -
• dynamic_power = Drain Voltage^2*frequency*Capacitance
• drain_voltage = sqrt(dynamic power/frequency*Capacitance)
• static_power = static current*Drain Voltage
• static_current = Static power/Drain Voltage
• channel_charge = Gate Capacitance*(Gate to Channel Voltage-Threshold voltage)
• channel_charge = Gate Capacitance*(Gate to Channel Voltage-Threshold voltage)
• gate_to_channel_voltage = (Channel Charge/Gate Capacitance)+Threshold voltage
• threshold_voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance)
• potential_gate_to_collector = (Potential Gate to Source+Potential Gate to Drain)/2
• potential_gate_to_drain = 2*potential gate to collector-Potential Gate to Source
Where is the Tree Adder Delay calculator used?
Among many, Tree Adder Delay calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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