Tree Adder Delay Calculator

✖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 [t_pg]			+10% -10%
✖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.ⓘ Absolute Frequency [f_abs]			+10% -10%
✖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.ⓘ AND-OR Gate Delay [T_ao]			+10% -10%
✖XOR Delay is the propagation delay of XOR gate.ⓘ XOR Delay [T_xor]			+10% -10%

✖Tree Adder Delay is the delay in the circuit and is denoted by T_tree symbol.ⓘ Tree Adder Delay [t_tree]

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Tree Adder Delay Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tree Adder Delay = Propagation Delay+log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay
t_tree = t_pg+log2(f_abs)*T_ao+T_xor
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

Tree Adder Delay - (Measured in Second) - Tree Adder Delay is the delay in the circuit and is denoted by T_tree symbol.
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.
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

Propagation Delay: 8.01 Nanosecond --> 8.01E-09 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

t_tree = t_pg+log2(f_abs)*T_ao+T_xor --> 8.01E-09+log2(10)*2.05E-09+1.49E-09

Evaluating ... ...

t_tree = 1.63099525945191E-08

STEP 3: Convert Result to Output's Unit

1.63099525945191E-08 Second -->16.3099525945191 Nanosecond (Check conversion here)

FINAL ANSWER

16.3099525945191 ≈ 16.30995 Nanosecond <-- Tree Adder Delay

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< Array Datapath Subsystem Calculators

Ground Capacitance

LaTeX Go Ground Capacitance = ((Agressor Voltage*Adjacent Capacitance)/Victim Voltage)-Adjacent Capacitance

'XOR' Delay

LaTeX Go XOR Delay = Ripple Time-(Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay)

Carry-Ripple Adder Critical Path Delay

LaTeX Go Ripple Time = Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay+XOR Delay

N-Bit Carry-Skip Adder

LaTeX Go N-bit Carry Skip Adder = N-Input AND Gate*K-Input AND Gate

Tree Adder Delay Formula

LaTeX Go

Tree Adder Delay = Propagation Delay+log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay
t_tree = t_pg+log2(f_abs)*T_ao+T_xor

What is tree adders?

For wide adders (roughly, N > 16 bits), the delay of carry-lookahead
(or carry-skip or carry-select) adders becomes dominated by the delay of passing the carry through the lookahead stages. This delay can be reduced by looking ahead across the lookahead blocks. In general, you can construct a multilevel tree of look-ahead structures to achieve delay that grows with log N. Such adders are variously referred to as tree adders, logarithmic adders, multilevel-lookahead adders, parallel-prefix adders, or simply lookahead adders.

How to Calculate Tree Adder Delay?

Tree Adder Delay calculator uses Tree Adder Delay = Propagation Delay+log2(Absolute Frequency)*AND-OR Gate Delay+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 is denoted by t_tree symbol.

How to calculate Tree Adder Delay using this online calculator? To use this online calculator for Tree Adder Delay, enter Propagation Delay (t_pg), Absolute Frequency (f_abs), AND-OR Gate Delay (T_ao) & XOR Delay (T_xor) and hit the calculate button. Here is how the Tree Adder Delay calculation can be explained with given input values -> 1.6E+10 = 8.01E-09+log2(10)*2.05E-09+1.49E-09.

FAQ

What is 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 and is represented as t_tree = t_pg+log2(f_abs)*T_ao+T_xor or Tree Adder Delay = Propagation Delay+log2(Absolute Frequency)*AND-OR Gate Delay+XOR 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, 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 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(Absolute Frequency)*AND-OR Gate Delay+XOR Delay. To calculate Tree Adder Delay, you need Propagation Delay (t_pg), Absolute Frequency (f_abs), AND-OR Gate Delay (T_ao) & XOR Delay (T_xor). With our tool, you need to enter the respective value for Propagation 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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