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Tree Adder Delay Formula

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

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

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

Tree Adder Delay Example

With values

With units

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Here is how the Tree Adder Delay equation looks like with Values.

Here is how the Tree Adder Delay equation looks like with Units.

Here is how the Tree Adder Delay equation looks like.

16.31 = 8.01 + \log 2 (10) \cdot 2.05 + 1.49

16.31ns = 8.01ns + \log 2 (10Hz) \cdot 2.05ns + 1.49ns

16.31 = 8.01 + \log 2 (10) \cdot 2.05 + 1.49

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Tree Adder Delay Solution

Follow our step by step solution on how to calculate Tree Adder Delay?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t tree = 8.01ns + \log 2 (10Hz) \cdot 2.05ns + 1.49ns

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

t tree = 1.63099525945191E-08s

Next Step Convert to Output's Unit

∴

t tree = 16.3099525945191ns

LAST Step Rounding Answer

∴

t tree = 16.31ns

Tree Adder Delay Formula Elements

Variables

Functions

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

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

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 Tree Adder Delay?

Tree Adder Delay evaluator uses Tree Adder Delay = Propagation Delay+log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay to evaluate 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 evaluate Tree Adder Delay using this online evaluator? To use this online evaluator 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.

FAQs on Tree Adder Delay

What is the formula to find Tree Adder Delay?

The formula of Tree Adder Delay is expressed as Tree Adder Delay = Propagation Delay+log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay. Here is an example- 1.6E+10 = 8.01E-09+log2(10)*2.05E-09+1.49E-09.

How to calculate Tree Adder Delay?

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

Can the Tree Adder Delay be negative?

No, the Tree Adder Delay, measured in Time cannot be negative.

Which unit is used to measure Tree Adder Delay?

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

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Tree Adder Delay Formula

Tree Adder Delay Example

Tree Adder Delay Solution

Tree Adder Delay Formula Elements

Other formulas in Array Datapath Subsystem category

How to Evaluate Tree Adder Delay?

FAQs on Tree Adder Delay

Variable Name