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
tcla = tpg+tgp+((n-1)+(K-1))*Tao+Txor
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
tcla = tpg+tgp+((n-1)+(K-1))*Tao+Txor --> 8.01E-09+5.5E-09+((2-1)+(7-1))*2.05E-09+1.49E-09
Evaluating ... ...
tcla = 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 00.004 seconds)

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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-Looker Adder Delay Formula

​LaTeX ​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
tcla = tpg+tgp+((n-1)+(K-1))*Tao+Txor

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 tcla 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 (tpg), Group Propagation Delay (tgp), N-Input AND Gate (n), K-Input AND Gate (K), AND-OR Gate Delay (Tao) & XOR Delay (Txor) 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 tcla = tpg+tgp+((n-1)+(K-1))*Tao+Txor 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 (tpg), Group Propagation Delay (tgp), N-Input AND Gate (n), K-Input AND Gate (K), AND-OR Gate Delay (Tao) & XOR Delay (Txor). 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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