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Critical Delay in Gates Formula

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Critical Delay in Gates refers to the maximum delay that can occur in a gate or a combination of gates within a circuit. Check FAQs

T gd = t pg + (n + (K - 2)) \cdot T ao + t mux

T_gd - Critical Delay in Gates?t_pg - Propagation Delay?n - N-Input AND Gate?K - K-Input AND Gate?T_ao - AND-OR Gate Delay?t_mux - Multiplexer Delay?

Critical Delay in Gates Example

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Here is how the Critical Delay in Gates equation looks like with Values.

Here is how the Critical Delay in Gates equation looks like with Units.

Here is how the Critical Delay in Gates equation looks like.

25.81 = 8.01 + (2 + (7 - 2)) \cdot 2.05 + 3.45

25.81ns = 8.01ns + (2 + (7 - 2)) \cdot 2.05ns + 3.45ns

25.81 = 8.01 + (2 + (7 - 2)) \cdot 2.05 + 3.45

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Critical Delay in Gates Solution

Follow our step by step solution on how to calculate Critical Delay in Gates?

FIRST Step Consider the formula

T gd = t pg + (n + (K - 2)) \cdot T ao + t mux

Next Step Substitute values of Variables

∴

T gd = 8.01ns + (2 + (7 - 2)) \cdot 2.05ns + 3.45ns

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

T gd = 8E-9 + (2 + (7 - 2)) \cdot 2.1E-9 + 3.5E-9

Next Step Evaluate

∴

T gd = 2.581E-08s

LAST Step Convert to Output's Unit

∴

T gd = 25.81ns

Critical Delay in Gates Formula Elements

Variables

Critical Delay in Gates

Critical Delay in Gates refers to the maximum delay that can occur in a gate or a combination of gates within a circuit.

Symbol: T_gd

Measurement: TimeUnit: ns

Note: Value should be greater than 0.

Formulas to find Critical Delay in Gates

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

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

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

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

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 Critical Delay in Gates?

Critical Delay in Gates evaluator uses Critical Delay in Gates = Propagation Delay+(N-Input AND Gate+(K-Input AND Gate-2))*AND-OR Gate Delay+Multiplexer Delay to evaluate the Critical Delay in Gates, The Critical Delay in Gates formula is defined as the maximum delay that can occur in a gate or a combination of gates within a circuit. It represents the time taken for a signal to propagate through the gates and reach its output. Critical Delay in Gates is denoted by T_gd symbol.

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

FAQs on Critical Delay in Gates

What is the formula to find Critical Delay in Gates?

The formula of Critical Delay in Gates is expressed as Critical Delay in Gates = Propagation Delay+(N-Input AND Gate+(K-Input AND Gate-2))*AND-OR Gate Delay+Multiplexer Delay. Here is an example- 2.6E+10 = 8.01E-09+(2+(7-2))*2.05E-09+3.45E-09.

How to calculate Critical Delay in Gates?

With Propagation Delay (t_pg), N-Input AND Gate (n), K-Input AND Gate (K), AND-OR Gate Delay (T_ao) & Multiplexer Delay (t_mux) we can find Critical Delay in Gates using the formula - Critical Delay in Gates = Propagation Delay+(N-Input AND Gate+(K-Input AND Gate-2))*AND-OR Gate Delay+Multiplexer Delay.

Can the Critical Delay in Gates be negative?

No, the Critical Delay in Gates, measured in Time cannot be negative.

Which unit is used to measure Critical Delay in Gates?

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

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Critical Delay in Gates Formula

Critical Delay in Gates Example

Critical Delay in Gates Solution

Critical Delay in Gates Formula Elements

Other formulas in Array Datapath Subsystem category

How to Evaluate Critical Delay in Gates?

FAQs on Critical Delay in Gates

Variable Name