Carry-Ripple Adder Critical Path Delay 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%
✖Gates on Critical Path are defined as the total number of the logic gate required during one cycle time in CMOS.ⓘ Gates on Critical Path [N_gates]			+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%
✖XOR Delay is the propagation delay of XOR gate.ⓘ XOR Delay [T_xor]			+10% -10%

✖Ripple Time of a carry-ripple adder circuit is defined as the time calculated of critical path delay.ⓘ Carry-Ripple Adder Critical Path Delay [T_ripple]

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Carry-Ripple Adder Critical Path Delay Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ripple Time = Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay+XOR Delay
T_ripple = t_pg+(N_gates-1)*T_ao+T_xor
This formula uses 5 Variables

Variables Used

Ripple Time - (Measured in Second) - Ripple Time of a carry-ripple adder circuit is defined as the time calculated of critical path delay.
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.
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.
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.
XOR Delay - (Measured in Second) - XOR Delay is the propagation delay of XOR gate.

STEP 1: Convert Input(s) to Base Unit

Propagation Delay: 8.01 Nanosecond --> 8.01E-09 Second (Check conversion here)
Gates on Critical Path: 11 --> No Conversion Required
AND-OR Gate Delay: 2.05 Nanosecond --> 2.05E-09 Second (Check conversion here)
XOR Delay: 1.49 Nanosecond --> 1.49E-09 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_ripple = t_pg+(N_gates-1)*T_ao+T_xor --> 8.01E-09+(11-1)*2.05E-09+1.49E-09

Evaluating ... ...

T_ripple = 3E-08

STEP 3: Convert Result to Output's Unit

3E-08 Second -->30 Nanosecond (Check conversion here)

FINAL ANSWER

30 Nanosecond <-- Ripple Time

(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

Carry-Ripple Adder Critical Path Delay Formula

LaTeX Go

Ripple Time = Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay+XOR Delay
T_ripple = t_pg+(N_gates-1)*T_ao+T_xor

What is the significance of carry-skip adder?

A carry-skip adder is an adder implementation that improves on the delay of a ripple-carry adder with little effort compared to other adders. The improvement of the worst-case delay is achieved by using several carry-skip adders to form a block-carry-skip adder. Unlike other fast adders, carry-skip adder performance is increased with only some of the combinations of input bits. This means, speed improvement is only probabilistic.

How to Calculate Carry-Ripple Adder Critical Path Delay?

Carry-Ripple Adder Critical Path Delay calculator uses Ripple Time = Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay+XOR Delay to calculate 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 calculate Carry-Ripple Adder Critical Path Delay using this online calculator? To use this online calculator 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. Here is how the Carry-Ripple Adder Critical Path Delay calculation can be explained with given input values -> 3E+10 = 8.01E-09+(11-1)*2.05E-09+1.49E-09.

FAQ

What is Carry-Ripple Adder Critical Path Delay?

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 and is represented as T_ripple = t_pg+(N_gates-1)*T_ao+T_xor or Ripple Time = Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay+XOR 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, Gates on Critical Path are defined as the total number of the logic gate required during one cycle time in CMOS, 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 & XOR Delay is the propagation delay of XOR gate.

How to calculate Carry-Ripple Adder Critical Path Delay?

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 is calculated using Ripple Time = Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay+XOR Delay. To calculate Carry-Ripple Adder Critical Path Delay, you need Propagation Delay (t_pg), Gates on Critical Path (N_gates), AND-OR Gate Delay (T_ao) & XOR Delay (T_xor). With our tool, you need to enter the respective value for Propagation Delay, Gates on Critical Path, AND-OR Gate Delay & XOR 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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