Critical Delay in Gates Calculator

✖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.ⓘ Propagation Delay [t_pg]			+10% -10%
✖N-input AND gate is defined as the number of inputs in the AND logic gate for the desirable output.ⓘ N-Input AND Gate [n]			+10% -10%
✖K-input AND gate is defined as the kth input in the AND gate among the logical gates.ⓘ K-Input AND Gate [K]			+10% -10%
✖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.ⓘ AND-OR Gate Delay [T_ao]			+10% -10%
✖Multiplexer Delay is the propagation delay of the multiplexer. It exhibits a minimum number of pmos and nmos, minimum delay, and minimum power dissipation.ⓘ Multiplexer Delay [t_mux]			+10% -10%

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

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Critical Delay in Gates Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Delay in Gates = Propagation Delay+(N-Input AND Gate+(K-Input AND Gate-2))*AND-OR Gate Delay+Multiplexer Delay
T_gd = t_pg+(n+(K-2))*T_ao+t_mux
This formula uses 6 Variables

Variables Used

Critical Delay in Gates - (Measured in Second) - Critical Delay in Gates refers to the maximum delay that can occur in a gate or a combination of gates within a circuit.
Propagation Delay - (Measured in Second) - 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.
N-Input AND Gate - N-input AND gate is defined as the number of inputs in the AND logic gate for the desirable output.
K-Input AND Gate - K-input AND gate is defined as the kth input in the AND gate among the logical gates.
AND-OR Gate Delay - (Measured in Second) - 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.
Multiplexer Delay - (Measured in Second) - Multiplexer Delay is the propagation delay of the multiplexer. It exhibits a minimum number of pmos and nmos, minimum delay, and minimum power dissipation.

STEP 1: Convert Input(s) to Base Unit

Propagation Delay: 8.01 Nanosecond --> 8.01E-09 Second (Check conversion here)
N-Input AND Gate: 2 --> No Conversion Required
K-Input AND Gate: 7 --> No Conversion Required
AND-OR Gate Delay: 2.05 Nanosecond --> 2.05E-09 Second (Check conversion here)
Multiplexer Delay: 3.45 Nanosecond --> 3.45E-09 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_gd = t_pg+(n+(K-2))*T_ao+t_mux --> 8.01E-09+(2+(7-2))*2.05E-09+3.45E-09

Evaluating ... ...

T_gd = 2.581E-08

STEP 3: Convert Result to Output's Unit

2.581E-08 Second -->25.81 Nanosecond (Check conversion here)

FINAL ANSWER

25.81 Nanosecond <-- Critical Delay in Gates

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< Array Datapath Subsystem Calculators

Ground Capacitance

LaTeX Go Ground Capacitance = ((Agressor Voltage*Adjacent Capacitance)/Victim Voltage)-Adjacent Capacitance

'XOR' Delay

LaTeX Go XOR Delay = Ripple Time-(Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay)

Carry-Ripple Adder Critical Path Delay

LaTeX Go Ripple Time = Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay+XOR Delay

N-Bit Carry-Skip Adder

LaTeX Go N-bit Carry Skip Adder = N-Input AND Gate*K-Input AND Gate

Critical Delay in Gates Formula

LaTeX Go

Critical Delay in Gates = Propagation Delay+(N-Input AND Gate+(K-Input AND Gate-2))*AND-OR Gate Delay+Multiplexer Delay
T_gd = t_pg+(n+(K-2))*T_ao+t_mux

What can you tell about carry increment adder?

The two n-bit adders are redundant in that both contain the initial PG logic and final sum XOR, reduces the size by factoring out the common logic and simplifying the multiplexer to a gray cell. This is called a carry increment adder. It uses a short ripple chain of black cells to compute the PG signals for bits within a group.

How to Calculate Critical Delay in Gates?

Critical Delay in Gates calculator uses Critical Delay in Gates = Propagation Delay+(N-Input AND Gate+(K-Input AND Gate-2))*AND-OR Gate Delay+Multiplexer Delay to calculate 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 calculate Critical Delay in Gates using this online calculator? To use this online calculator 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. Here is how the Critical Delay in Gates calculation can be explained with given input values -> 2.6E+10 = 8.01E-09+(2+(7-2))*2.05E-09+3.45E-09.

FAQ

What is 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 and is represented as T_gd = t_pg+(n+(K-2))*T_ao+t_mux or Critical Delay in Gates = Propagation Delay+(N-Input AND Gate+(K-Input AND Gate-2))*AND-OR Gate Delay+Multiplexer 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, N-input AND gate is defined as the number of inputs in the AND logic gate for the desirable output, K-input AND gate is defined as the kth input in the AND gate among the logical gates, 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 & Multiplexer Delay is the propagation delay of the multiplexer. It exhibits a minimum number of pmos and nmos, minimum delay, and minimum power dissipation.

How to calculate 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 is calculated using Critical Delay in Gates = Propagation Delay+(N-Input AND Gate+(K-Input AND Gate-2))*AND-OR Gate Delay+Multiplexer Delay. To calculate Critical Delay in Gates, you need Propagation Delay (t_pg), N-Input AND Gate (n), K-Input AND Gate (K), AND-OR Gate Delay (T_ao) & Multiplexer Delay (t_mux). With our tool, you need to enter the respective value for Propagation Delay, N-Input AND Gate, K-Input AND Gate, AND-OR Gate Delay & Multiplexer Delay and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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