Carry-Skip Adder Delay Calculator

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Array Datapath Subsystem

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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%
✖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%
✖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%
✖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%
✖Multiplexer Delay is the propagation delay of the multiplexer. It exhibits a minimum number of pmos and nmos, minimum delay, and minimum power dissipation.ⓘ Multiplexer Delay [t_mux]			+10% -10%
✖XOR Delay is the propagation delay of XOR gate.ⓘ XOR Delay [T_xor]			+10% -10%

✖Carry-Skip Adder Delay the critical path of CPAs considered so far involves a gate or transistor for each bit of the adder, which can be slow for large adders.ⓘ Carry-Skip Adder Delay [T_skip]

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Formula

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Carry-Skip Adder Delay

Formula

`"T"_{"skip"} = "t"_{"pg"}+2*("n"-1)*"T"_{"ao"}+("K"-1)*"t"_{"mux"}+"T"_{"xor"}`

Example

`"34.3ns"="8.01ns"+2*("2"-1)*"2.05ns"+("7"-1)*"3.45ns"+"1.49ns"`

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Carry-Skip Adder Delay Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
T_skip = t_pg+2*(n-1)*T_ao+(K-1)*t_mux+T_xor
This formula uses 7 Variables

Variables Used

Carry-Skip Adder Delay - (Measured in Second) - Carry-Skip Adder Delay the critical path of CPAs considered so far involves a gate or transistor for each bit of the adder, which can be slow for large adders.
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.
N-Input AND Gate - N-input AND gate is defined as the number of inputs in the AND logic gate for the desirable output.
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.
K-Input AND Gate - K-input AND gate is defined as the kth input in the AND gate among the logical gates.
Multiplexer Delay - (Measured in Second) - Multiplexer Delay is the propagation delay of the multiplexer. It exhibits a minimum number of pmos and nmos, minimum delay, and minimum power dissipation.
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)
N-Input AND Gate: 2 --> No Conversion Required
AND-OR Gate Delay: 2.05 Nanosecond --> 2.05E-09 Second (Check conversion here)
K-Input AND Gate: 7 --> No Conversion Required
Multiplexer Delay: 3.45 Nanosecond --> 3.45E-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_skip = t_pg+2*(n-1)*T_ao+(K-1)*t_mux+T_xor --> 8.01E-09+2*(2-1)*2.05E-09+(7-1)*3.45E-09+1.49E-09

Evaluating ... ...

T_skip = 3.43E-08

STEP 3: Convert Result to Output's Unit

3.43E-08 Second -->34.3 Nanosecond (Check conversion here)

FINAL ANSWER

34.3 Nanosecond <-- Carry-Skip Adder Delay

(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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< 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-Skip Adder Delay Formula

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
T_skip = t_pg+2*(n-1)*T_ao+(K-1)*t_mux+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-Skip Adder Delay?

Carry-Skip Adder Delay calculator uses 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 to calculate the Carry-Skip Adder Delay, The Carry-Skip Adder Delay formula is defined as the critical path of CPAs considered so far involves a gate or transistor for each bit of the adder, which can be slow for large adders. Carry-Skip Adder Delay is denoted by T_skip symbol.

How to calculate Carry-Skip Adder Delay using this online calculator? To use this online calculator for Carry-Skip Adder Delay, enter Propagation Delay (t_pg), N-Input AND Gate (n), AND-OR Gate Delay (T_ao), K-Input AND Gate (K), Multiplexer Delay (t_mux) & XOR Delay (T_xor) and hit the calculate button. Here is how the Carry-Skip Adder Delay calculation can be explained with given input values -> 3.4E+10 = 8.01E-09+2*(2-1)*2.05E-09+(7-1)*3.45E-09+1.49E-09.

FAQ

What is Carry-Skip Adder Delay?

The Carry-Skip Adder Delay formula is defined as the critical path of CPAs considered so far involves a gate or transistor for each bit of the adder, which can be slow for large adders and is represented as T_skip = t_pg+2*(n-1)*T_ao+(K-1)*t_mux+T_xor or 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. 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, N-input AND gate is defined as the number of inputs in the AND logic gate for the desirable output, 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, K-input AND gate is defined as the kth input in the AND gate among the logical gates, Multiplexer Delay is the propagation delay of the multiplexer. It exhibits a minimum number of pmos and nmos, minimum delay, and minimum power dissipation & XOR Delay is the propagation delay of XOR gate.

How to calculate Carry-Skip Adder Delay?

The Carry-Skip Adder Delay formula is defined as the critical path of CPAs considered so far involves a gate or transistor for each bit of the adder, which can be slow for large adders is calculated using 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. To calculate Carry-Skip Adder Delay, you need Propagation Delay (t_pg), N-Input AND Gate (n), AND-OR Gate Delay (T_ao), K-Input AND Gate (K), Multiplexer Delay (t_mux) & XOR Delay (T_xor). With our tool, you need to enter the respective value for Propagation Delay, N-Input AND Gate, AND-OR Gate Delay, K-Input AND Gate, Multiplexer 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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