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Carry-Skip Adder Delay Formula

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Carry-Skip Adder Delay the critical path of CPAs considered so far involves a gate or transistor for each bit of the adder, which can be slow for large adders. Check FAQs

T skip = t pg + 2 \cdot (n - 1) \cdot T ao + (K - 1) \cdot t mux + T xor

T_skip - Carry-Skip Adder Delay?t_pg - Propagation Delay?n - N-Input AND Gate?T_ao - AND-OR Gate Delay?K - K-Input AND Gate?t_mux - Multiplexer Delay?T_xor - XOR Delay?

Carry-Skip Adder Delay Example

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Here is how the Carry-Skip Adder Delay equation looks like with Values.

Here is how the Carry-Skip Adder Delay equation looks like with Units.

Here is how the Carry-Skip Adder Delay equation looks like.

34.3 = 8.01 + 2 \cdot (2 - 1) \cdot 2.05 + (7 - 1) \cdot 3.45 + 1.49

34.3ns = 8.01ns + 2 \cdot (2 - 1) \cdot 2.05ns + (7 - 1) \cdot 3.45ns + 1.49ns

34.3 = 8.01 + 2 \cdot (2 - 1) \cdot 2.05 + (7 - 1) \cdot 3.45 + 1.49

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Carry-Skip Adder Delay Solution

Follow our step by step solution on how to calculate Carry-Skip Adder Delay?

FIRST Step Consider the formula

T skip = t pg + 2 \cdot (n - 1) \cdot T ao + (K - 1) \cdot t mux + T xor

Next Step Substitute values of Variables

∴

T skip = 8.01ns + 2 \cdot (2 - 1) \cdot 2.05ns + (7 - 1) \cdot 3.45ns + 1.49ns

Next Step Convert Units

∴

T skip = 8E-9s + 2 \cdot (2 - 1) \cdot 2.1E-9s + (7 - 1) \cdot 3.5E-9s + 1.5E-9s

Next Step Prepare to Evaluate

∴

T skip = 8E-9 + 2 \cdot (2 - 1) \cdot 2.1E-9 + (7 - 1) \cdot 3.5E-9 + 1.5E-9

Next Step Evaluate

∴

T skip = 3.43E-08s

LAST Step Convert to Output's Unit

∴

T skip = 34.3ns

Carry-Skip Adder Delay Formula Elements

Variables

Carry-Skip Adder Delay

Carry-Skip Adder Delay the critical path of CPAs considered so far involves a gate or transistor for each bit of the adder, which can be slow for large adders.

Symbol: T_skip

Measurement: TimeUnit: ns

Note: Value should be greater than 0.

Formulas to find Carry-Skip 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

N-Input AND Gate

N-input AND gate is defined as the number of inputs in the AND logic gate for the desirable output.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find N-Input AND Gate

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

K-Input AND Gate

K-input AND gate is defined as the kth input in the AND gate among the logical gates.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find K-Input AND Gate

Multiplexer Delay

Multiplexer Delay is the propagation delay of the multiplexer. It exhibits a minimum number of pmos and nmos, minimum delay, and minimum power dissipation.

Symbol: t_mux

Measurement: TimeUnit: ns

Note: Value should be greater than 0.

Formulas to find Multiplexer 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

Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Formula and 900+ more formulas!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Formula and 1900+ more formulas!

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

How to Evaluate Carry-Skip Adder Delay?

Carry-Skip Adder Delay evaluator uses 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 to evaluate the Carry-Skip Adder Delay, The Carry-Skip Adder Delay formula is defined as the critical path of CPAs considered so far involves a gate or transistor for each bit of the adder, which can be slow for large adders. Carry-Skip Adder Delay is denoted by T_skip symbol.

How to evaluate Carry-Skip Adder Delay using this online evaluator? To use this online evaluator for Carry-Skip Adder Delay, enter Propagation Delay (t_pg), N-Input AND Gate (n), AND-OR Gate Delay (T_ao), K-Input AND Gate (K), Multiplexer Delay (t_mux) & XOR Delay (T_xor) and hit the calculate button.

FAQs on Carry-Skip Adder Delay

What is the formula to find Carry-Skip Adder Delay?

The formula of Carry-Skip Adder Delay is expressed as 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. Here is an example- 3.4E+10 = 8.01E-09+2*(2-1)*2.05E-09+(7-1)*3.45E-09+1.49E-09.

How to calculate Carry-Skip Adder Delay?

With Propagation Delay (t_pg), N-Input AND Gate (n), AND-OR Gate Delay (T_ao), K-Input AND Gate (K), Multiplexer Delay (t_mux) & XOR Delay (T_xor) we can find Carry-Skip Adder Delay using the formula - 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.

Can the Carry-Skip Adder Delay be negative?

No, the Carry-Skip Adder Delay, measured in Time cannot be negative.

Which unit is used to measure Carry-Skip Adder Delay?

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

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Carry-Skip Adder Delay Formula

Carry-Skip Adder Delay Example

Carry-Skip Adder Delay Solution

Carry-Skip Adder Delay Formula Elements

Credits

Other formulas in Array Datapath Subsystem category

How to Evaluate Carry-Skip Adder Delay?

FAQs on Carry-Skip Adder Delay

Variable Name