N-Bit Carry-Skip Adder Calculator

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✖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%

✖N-bit Carry Skip Adder is slightly slower than the AND-OR function.ⓘ N-Bit Carry-Skip Adder [N_carry]

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Formula

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N-Bit Carry-Skip Adder

Formula

`"N"_{"carry"} = "n"*"K"`

Example

`"14"="2"*"7"`

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N-Bit Carry-Skip Adder Solution

STEP 0: Pre-Calculation Summary

Formula Used

N-bit Carry Skip Adder = N-Input AND Gate*K-Input AND Gate
N_carry = n*K
This formula uses 3 Variables

Variables Used

N-bit Carry Skip Adder - N-bit Carry Skip Adder is slightly slower than the AND-OR function.
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.

STEP 1: Convert Input(s) to Base Unit

N-Input AND Gate: 2 --> No Conversion Required
K-Input AND Gate: 7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_carry = n*K --> 2*7

Evaluating ... ...

N_carry = 14

STEP 3: Convert Result to Output's Unit

14 --> No Conversion Required

FINAL ANSWER

14 <-- N-bit Carry Skip Adder

(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-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

N-Bit Carry-Skip Adder Formula

N-bit Carry Skip Adder = N-Input AND Gate*K-Input AND Gate
N_carry = n*K

What is the significance of carry-skip adder?

The carry-skip adder shortens the critical path by computing the group propagate signals for each carry chain and using this to skip over long carry ripples. The rectangles compute the bitwise propagate and generate signals, and also contain a 4-input AND gate for the propagate signal of the 4-bit group. The skip multiplexer selects the group carry-in if the group propagate is true or the ripple
adder carry-out otherwise.

How to Calculate N-Bit Carry-Skip Adder?

N-Bit Carry-Skip Adder calculator uses N-bit Carry Skip Adder = N-Input AND Gate*K-Input AND Gate to calculate the N-bit Carry Skip Adder, The N-bit carry-skip adder formula is defined as it is slightly slower than the AND-OR function and is known as carry-skip adder. N-bit Carry Skip Adder is denoted by N_carry symbol.

How to calculate N-Bit Carry-Skip Adder using this online calculator? To use this online calculator for N-Bit Carry-Skip Adder, enter N-Input AND Gate (n) & K-Input AND Gate (K) and hit the calculate button. Here is how the N-Bit Carry-Skip Adder calculation can be explained with given input values -> 14.4 = 2*7.

FAQ

What is N-Bit Carry-Skip Adder?

The N-bit carry-skip adder formula is defined as it is slightly slower than the AND-OR function and is known as carry-skip adder and is represented as N_carry = n*K or N-bit Carry Skip Adder = N-Input AND Gate*K-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 is defined as the kth input in the AND gate among the logical gates.

How to calculate N-Bit Carry-Skip Adder?

The N-bit carry-skip adder formula is defined as it is slightly slower than the AND-OR function and is known as carry-skip adder is calculated using N-bit Carry Skip Adder = N-Input AND Gate*K-Input AND Gate. To calculate N-Bit Carry-Skip Adder, you need N-Input AND Gate (n) & K-Input AND Gate (K). With our tool, you need to enter the respective value for N-Input AND Gate & K-Input AND Gate 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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