Carry-Looker Adder Delay Calculator

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✖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%
✖Group Propagation Delay is a device performance property that helps to characterize time delay.ⓘ Group Propagation Delay [t_gp]			+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%
✖XOR Delay is the propagation delay of XOR gate.ⓘ XOR Delay [T_xor]			+10% -10%

✖Carry-Looker Adder Delay computes group generate signals as well as group propagates signals to avoid waiting for a ripple to determine if the first group generates a carry.ⓘ Carry-Looker Adder Delay [t_cla]

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Formula

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Carry-Looker Adder Delay

Formula

`"t"_{"cla"} = "t"_{"pg"}+"t"_{"gp"}+(("n"-1)+("K"-1))*"T"_{"ao"}+"T"_{"xor"}`

Example

`"29.35ns"="8.01ns"+"5.5ns"+(("2"-1)+("7"-1))*"2.05ns"+"1.49ns"`

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Carry-Looker Adder Delay Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
t_cla = t_pg+t_gp+((n-1)+(K-1))*T_ao+T_xor
This formula uses 7 Variables

Variables Used

Carry-Looker Adder Delay - (Measured in Second) - Carry-Looker Adder Delay computes group generate signals as well as group propagates signals to avoid waiting for a ripple to determine if the first group generates a carry.
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.
Group Propagation Delay - (Measured in Second) - Group Propagation Delay is a device performance property that helps to characterize time 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.
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.
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)
Group Propagation Delay: 5.5 Nanosecond --> 5.5E-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)
XOR Delay: 1.49 Nanosecond --> 1.49E-09 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_cla = t_pg+t_gp+((n-1)+(K-1))*T_ao+T_xor --> 8.01E-09+5.5E-09+((2-1)+(7-1))*2.05E-09+1.49E-09

Evaluating ... ...

t_cla = 2.935E-08

STEP 3: Convert Result to Output's Unit

2.935E-08 Second -->29.35 Nanosecond (Check conversion here)

FINAL ANSWER

29.35 Nanosecond <-- Carry-Looker Adder Delay

(Calculation completed in 00.015 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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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-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

N-Input 'And' Gate

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

Carry-Looker Adder Delay Formula

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
t_cla = t_pg+t_gp+((n-1)+(K-1))*T_ao+T_xor

Why Carry-Looker Adder(CLA) is a good choice?

CLA computes group generate signals as well as group propagate signals to avoid waiting for a ripple to determine if the first group generates a carry. It uses valency-4 black cells to compute 4-bit group PG signals in PG network. a CLA using k groups of n bits each has a delay and the delay of the AND-OR-AND-OR-AND-OR gate computing the valency-n generate signal. This is no better than the variable-length carry-skip adder and requires the extra n-bit generate gate, so the simple CLA is seldom a good design choice. However, it forms the basis for understanding faster adders.

How to Calculate Carry-Looker Adder Delay?

Carry-Looker Adder Delay calculator uses 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 to calculate the Carry-Looker Adder Delay, The Carry-Looker Adder delay formula is defined as similar to the carry-skip adder, but computes group generate signals as well as group propagate signals to avoid waiting for a ripple to determine if the first group generates a carry. Carry-Looker Adder Delay is denoted by t_cla symbol.

How to calculate Carry-Looker Adder Delay using this online calculator? To use this online calculator for Carry-Looker Adder Delay, enter Propagation Delay (t_pg), Group Propagation Delay (t_gp), N-Input AND Gate (n), K-Input AND Gate (K), AND-OR Gate Delay (T_ao) & XOR Delay (T_xor) and hit the calculate button. Here is how the Carry-Looker Adder Delay calculation can be explained with given input values -> 2.9E+10 = 8.01E-09+5.5E-09+((2-1)+(7-1))*2.05E-09+1.49E-09.

FAQ

What is Carry-Looker Adder Delay?

The Carry-Looker Adder delay formula is defined as similar to the carry-skip adder, but computes group generate signals as well as group propagate signals to avoid waiting for a ripple to determine if the first group generates a carry and is represented as t_cla = t_pg+t_gp+((n-1)+(K-1))*T_ao+T_xor or 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. 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, Group Propagation Delay is a device performance property that helps to characterize time delay, 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 & XOR Delay is the propagation delay of XOR gate.

How to calculate Carry-Looker Adder Delay?

The Carry-Looker Adder delay formula is defined as similar to the carry-skip adder, but computes group generate signals as well as group propagate signals to avoid waiting for a ripple to determine if the first group generates a carry is calculated using 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. To calculate Carry-Looker Adder Delay, you need Propagation Delay (t_pg), Group Propagation Delay (t_gp), N-Input AND Gate (n), K-Input AND Gate (K), AND-OR Gate Delay (T_ao) & XOR Delay (T_xor). With our tool, you need to enter the respective value for Propagation Delay, Group Propagation Delay, N-Input AND Gate, K-Input AND Gate, 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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