Carry-Increamentor Adder Delay Solution

STEP 0: Pre-Calculation Summary
Formula Used
Carry-Incrementor Adder Delay = Propagation Delay+Group Propagation Delay+(K-Input AND Gate-1)*AND-OR Gate Delay+XOR Delay
Tinc = tpg+tgp+(K-1)*Tao+Txor
This formula uses 6 Variables
Variables Used
Carry-Incrementor Adder Delay - (Measured in Second) - Carry-Incrementor Adder Delay is defined as r higher-valency cells can be used to speed the ripple operation to produce the first group generate signal.
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.
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)
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
Tinc = tpg+tgp+(K-1)*Tao+Txor --> 8.01E-09+5.5E-09+(7-1)*2.05E-09+1.49E-09
Evaluating ... ...
Tinc = 2.73E-08
STEP 3: Convert Result to Output's Unit
2.73E-08 Second -->27.3 Nanosecond (Check conversion here)
FINAL ANSWER
27.3 Nanosecond <-- Carry-Incrementor Adder Delay
(Calculation completed in 00.020 seconds)

Credits

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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-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-Increamentor Adder Delay Formula

Carry-Incrementor Adder Delay = Propagation Delay+Group Propagation Delay+(K-Input AND Gate-1)*AND-OR Gate Delay+XOR Delay
Tinc = tpg+tgp+(K-1)*Tao+Txor

What is carry increment adder?

The two n-bit adders are redundant in that both contain the initial PG logic and final sum XOR. It reduces the size by factoring out the common logic and simplifying the multiplexer to a gray cell, as shown in Figure 11.25. This is sometimes called a carryincrement adder. It uses a short ripple chain of black cells to compute
the PG signals for bits within a group. The bits spanned by each group are annotated on
the diagram. When the carry-out from the previous group becomes available, the final gray cells in each column determine the carry-out, which is true if the group generates a carry or if the group propagates a carry and the previous group generated a carry. The
carry-increment adder has about twice as many cells in the PG network as a carry-ripple adder.

How to Calculate Carry-Increamentor Adder Delay?

Carry-Increamentor Adder Delay calculator uses Carry-Incrementor Adder Delay = Propagation Delay+Group Propagation Delay+(K-Input AND Gate-1)*AND-OR Gate Delay+XOR Delay to calculate the Carry-Incrementor Adder Delay, The Carry-Increamentor Adder Delay formula is defined as r higher-valency cells that can be used to speed the ripple operation to produce the first group generate a signal. In that case, the ripple delay is replaced by a group PG gate delay and the critical path. Carry-Incrementor Adder Delay is denoted by Tinc symbol.

How to calculate Carry-Increamentor Adder Delay using this online calculator? To use this online calculator for Carry-Increamentor Adder Delay, enter Propagation Delay (tpg), Group Propagation Delay (tgp), K-Input AND Gate (K), AND-OR Gate Delay (Tao) & XOR Delay (Txor) and hit the calculate button. Here is how the Carry-Increamentor Adder Delay calculation can be explained with given input values -> 2.7E+10 = 8.01E-09+5.5E-09+(7-1)*2.05E-09+1.49E-09.

FAQ

What is Carry-Increamentor Adder Delay?
The Carry-Increamentor Adder Delay formula is defined as r higher-valency cells that can be used to speed the ripple operation to produce the first group generate a signal. In that case, the ripple delay is replaced by a group PG gate delay and the critical path and is represented as Tinc = tpg+tgp+(K-1)*Tao+Txor or Carry-Incrementor Adder Delay = Propagation Delay+Group Propagation Delay+(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, 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-Increamentor Adder Delay?
The Carry-Increamentor Adder Delay formula is defined as r higher-valency cells that can be used to speed the ripple operation to produce the first group generate a signal. In that case, the ripple delay is replaced by a group PG gate delay and the critical path is calculated using Carry-Incrementor Adder Delay = Propagation Delay+Group Propagation Delay+(K-Input AND Gate-1)*AND-OR Gate Delay+XOR Delay. To calculate Carry-Increamentor Adder Delay, you need Propagation Delay (tpg), Group Propagation Delay (tgp), 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, 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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