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Multiplexer Delay Formula

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

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

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

Multiplexer Delay Example

With values

With units

Only example

Here is how the Multiplexer Delay equation looks like with Values.

Here is how the Multiplexer Delay equation looks like with Units.

Here is how the Multiplexer Delay equation looks like.

3.9467 = \frac{34.3 - (8.01 + (2 \cdot (2 - 1) \cdot 2.05) - 1.49)}{7 - 1}

3.9467ns = \frac{34.3ns - (8.01ns + (2 \cdot (2 - 1) \cdot 2.05ns) - 1.49ns)}{7 - 1}

3.9467 = \frac{34.3 - (8.01 + (2 \cdot (2 - 1) \cdot 2.05) - 1.49)}{7 - 1}

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Multiplexer Delay Solution

Follow our step by step solution on how to calculate Multiplexer Delay?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t mux = \frac{34.3ns - (8.01ns + (2 \cdot (2 - 1) \cdot 2.05ns) - 1.49ns)}{7 - 1}

Next Step Convert Units

∴

t mux = \frac{3.4E-8s - (8E-9s + (2 \cdot (2 - 1) \cdot 2.1E-9s) - 1.5E-9s)}{7 - 1}

Next Step Prepare to Evaluate

∴

t mux = \frac{3.4E-8 - (8E-9 + (2 \cdot (2 - 1) \cdot 2.1E-9) - 1.5E-9)}{7 - 1}

Next Step Evaluate

∴

t mux = 3.94666666666667E-09s

Next Step Convert to Output's Unit

∴

t mux = 3.94666666666667ns

LAST Step Rounding Answer

∴

t mux = 3.9467ns

Multiplexer Delay Formula Elements

Variables

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

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

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

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

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 Multiplexer Delay?

Multiplexer Delay evaluator uses Multiplexer Delay = (Carry-Skip Adder Delay-(Propagation Delay+(2*(N-Input AND Gate-1)*AND-OR Gate Delay)-XOR Delay))/(K-Input AND Gate-1) to evaluate the Multiplexer Delay, The Multiplexer Delay formula is defined as the data to output propagation delay in these multiplexers is too long primarily due to the relatively large amount of capacitance associated with the collector(s). Multiplexer Delay is denoted by t_mux symbol.

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

FAQs on Multiplexer Delay

What is the formula to find Multiplexer Delay?

The formula of Multiplexer Delay is expressed as Multiplexer Delay = (Carry-Skip Adder Delay-(Propagation Delay+(2*(N-Input AND Gate-1)*AND-OR Gate Delay)-XOR Delay))/(K-Input AND Gate-1). Here is an example- 4E+9 = (3.43E-08-(8.01E-09+(2*(2-1)*2.05E-09)-1.49E-09))/(7-1).

How to calculate Multiplexer Delay?

With Carry-Skip Adder Delay (T_skip), Propagation Delay (t_pg), N-Input AND Gate (n), AND-OR Gate Delay (T_ao), XOR Delay (T_xor) & K-Input AND Gate (K) we can find Multiplexer Delay using the formula - Multiplexer Delay = (Carry-Skip Adder Delay-(Propagation Delay+(2*(N-Input AND Gate-1)*AND-OR Gate Delay)-XOR Delay))/(K-Input AND Gate-1).

Can the Multiplexer Delay be negative?

No, the Multiplexer Delay, measured in Time cannot be negative.

Which unit is used to measure Multiplexer Delay?

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

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Multiplexer Delay Formula

Multiplexer Delay Example

Multiplexer Delay Solution

Multiplexer Delay Formula Elements

Other formulas in Array Datapath Subsystem category

How to Evaluate Multiplexer Delay?

FAQs on Multiplexer Delay

Variable Name