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Carry-Ripple Adder Critical Path Delay Formula

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Ripple Time of a carry-ripple adder circuit is defined as the time calculated of critical path delay. Check FAQs

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

T_ripple - Ripple Time?t_pg - Propagation Delay?N_gates - Gates on Critical Path?T_ao - AND-OR Gate Delay?T_xor - XOR Delay?

Carry-Ripple Adder Critical Path Delay Example

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Here is how the Carry-Ripple Adder Critical Path Delay equation looks like with Values.

Here is how the Carry-Ripple Adder Critical Path Delay equation looks like with Units.

Here is how the Carry-Ripple Adder Critical Path Delay equation looks like.

30 = 8.01 + (11 - 1) \cdot 2.05 + 1.49

30ns = 8.01ns + (11 - 1) \cdot 2.05ns + 1.49ns

30 = 8.01 + (11 - 1) \cdot 2.05 + 1.49

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Carry-Ripple Adder Critical Path Delay Solution

Follow our step by step solution on how to calculate Carry-Ripple Adder Critical Path Delay?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T ripple = 8.01ns + (11 - 1) \cdot 2.05ns + 1.49ns

Next Step Convert Units

∴

T ripple = 8E-9s + (11 - 1) \cdot 2.1E-9s + 1.5E-9s

Next Step Prepare to Evaluate

∴

T ripple = 8E-9 + (11 - 1) \cdot 2.1E-9 + 1.5E-9

Next Step Evaluate

∴

T ripple = 3E-08s

LAST Step Convert to Output's Unit

∴

T ripple = 30ns

Carry-Ripple Adder Critical Path Delay Formula Elements

Variables

Ripple Time

Ripple Time of a carry-ripple adder circuit is defined as the time calculated of critical path delay.

Symbol: T_ripple

Measurement: TimeUnit: ns

Note: Value should be greater than 0.

Formulas to find Ripple Time

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

Gates on Critical Path

Gates on Critical Path are defined as the total number of the logic gate required during one cycle time in CMOS.

Symbol: N_gates

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gates on Critical Path

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

Other formulas in Array Datapath Subsystem category

Go Ground Capacitance

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

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

Go K-Input 'And' Gate

K = \frac{N carry}{n}

How to Evaluate Carry-Ripple Adder Critical Path Delay?

Carry-Ripple Adder Critical Path Delay evaluator uses Ripple Time = Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay+XOR Delay to evaluate the Ripple Time, The Carry-Ripple adder critical path delay formula is calculated when the cells are arranged along the vertical axis according to the time at which they operate. This time is known ripple time in critical path delay. Ripple Time is denoted by T_ripple symbol.

How to evaluate Carry-Ripple Adder Critical Path Delay using this online evaluator? To use this online evaluator for Carry-Ripple Adder Critical Path Delay, enter Propagation Delay (t_pg), Gates on Critical Path (N_gates), AND-OR Gate Delay (T_ao) & XOR Delay (T_xor) and hit the calculate button.

FAQs on Carry-Ripple Adder Critical Path Delay

What is the formula to find Carry-Ripple Adder Critical Path Delay?

The formula of Carry-Ripple Adder Critical Path Delay is expressed as Ripple Time = Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay+XOR Delay. Here is an example- 3E+10 = 8.01E-09+(11-1)*2.05E-09+1.49E-09.

How to calculate Carry-Ripple Adder Critical Path Delay?

With Propagation Delay (t_pg), Gates on Critical Path (N_gates), AND-OR Gate Delay (T_ao) & XOR Delay (T_xor) we can find Carry-Ripple Adder Critical Path Delay using the formula - Ripple Time = Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay+XOR Delay.

Can the Carry-Ripple Adder Critical Path Delay be negative?

No, the Carry-Ripple Adder Critical Path Delay, measured in Time cannot be negative.

Which unit is used to measure Carry-Ripple Adder Critical Path Delay?

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

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Carry-Ripple Adder Critical Path Delay Formula

Carry-Ripple Adder Critical Path Delay Example

Carry-Ripple Adder Critical Path Delay Solution

Carry-Ripple Adder Critical Path Delay Formula Elements

Other formulas in Array Datapath Subsystem category

How to Evaluate Carry-Ripple Adder Critical Path Delay?

FAQs on Carry-Ripple Adder Critical Path Delay

Variable Name