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
Tripple = tpg+(Ngates-1)*Tao+Txor
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
Tripple = tpg+(Ngates-1)*Tao+Txor --> 8.01E-09+(11-1)*2.05E-09+1.49E-09
Evaluating ... ...
Tripple = 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)

Credits

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19 Array Datapath Subsystem Calculators

Carry-Looker Adder Delay
Go Carry-Looker Adder Delay = Propagation Delay+Group Propagation Delay+((N-Input AND Gate-1)+(K-Input AND Gate-1))*AND-OR Gate Delay+XOR Delay
Multiplexer Delay
Go 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)
Carry-Skip Adder Delay
Go 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
Carry-Increamentor Adder Delay
Go Carry-Incrementor Adder Delay = Propagation Delay+Group Propagation Delay+(K-Input AND Gate-1)*AND-OR Gate Delay+XOR Delay
Critical Delay in Gates
Go Critical Delay in Gates = Propagation Delay+(N-Input AND Gate+(K-Input AND Gate-2))*AND-OR Gate Delay+Multiplexer Delay
Group Propagation Delay
Go Propagation Delay = Tree Adder Delay-(log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay)
Tree Adder Delay
Go Tree Adder Delay = Propagation Delay+log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay
Cell Capacitance
Go Cell Capacitance = (Bit Capacitance*2*Voltage Swing on Bitline)/(Positive Voltage-(Voltage Swing on Bitline*2))
Bit Capacitance
Go Bit Capacitance = ((Positive Voltage*Cell Capacitance)/(2*Voltage Swing on Bitline))-Cell Capacitance
Voltage Swing On Bitline
Go Voltage Swing on Bitline = (Positive Voltage/2)*Cell Capacitance/(Cell Capacitance+Bit Capacitance)
Ground Capacitance
Go Ground Capacitance = ((Agressor Voltage*Adjacent Capacitance)/Victim Voltage)-Adjacent Capacitance
'XOR' Delay
Go XOR Delay = Ripple Time-(Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay)
Carry-Ripple Adder Critical Path Delay
Go Ripple Time = Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay+XOR Delay
Area of Memory Containing N Bits
Go Area of Memory Cell = (Area of One Bit Memory Cell*Absolute Frequency)/Array Efficiency
Area of Memory Cell
Go Area of One Bit Memory Cell = (Array Efficiency*Area of Memory Cell)/Absolute Frequency
Array Efficiency
Go Array Efficiency = (Area of One Bit Memory Cell*Absolute Frequency)/Area of Memory Cell
N-Input 'And' Gate
Go N-Input AND Gate = N-bit Carry Skip Adder/K-Input AND Gate
N-Bit Carry-Skip Adder
Go N-bit Carry Skip Adder = N-Input AND Gate*K-Input AND Gate
K-Input 'And' Gate
Go K-Input AND Gate = N-bit Carry Skip Adder/N-Input AND Gate

Carry-Ripple Adder Critical Path Delay Formula

Ripple Time = Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay+XOR Delay
Tripple = tpg+(Ngates-1)*Tao+Txor

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 Tripple 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 (tpg), Gates on Critical Path (Ngates), AND-OR Gate Delay (Tao) & XOR Delay (Txor) 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 Tripple = tpg+(Ngates-1)*Tao+Txor 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 (tpg), Gates on Critical Path (Ngates), AND-OR Gate Delay (Tao) & XOR Delay (Txor). 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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