K-Input 'And' Gate Solution

STEP 0: Pre-Calculation Summary
Formula Used
K-Input AND Gate = N-bit Carry Skip Adder/N-Input AND Gate
K = Ncarry/n
This formula uses 3 Variables
Variables Used
K-Input AND Gate - K-input AND gate is defined as the kth input in the AND gate among the logical gates.
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.
STEP 1: Convert Input(s) to Base Unit
N-bit Carry Skip Adder: 14 --> No Conversion Required
N-Input AND Gate: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K = Ncarry/n --> 14/2
Evaluating ... ...
K = 7
STEP 3: Convert Result to Output's Unit
7 --> No Conversion Required
FINAL ANSWER
7 <-- K-Input AND Gate
(Calculation completed in 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
Shobhit Dimri has created this Calculator and 900+ more calculators!
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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

K-Input 'And' Gate Formula

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

Why is multiplexer of an AND22-OR function, is slightly slower than the AND-OR function?

The critical path of the adder involves the initial PG logic producing a carry out of bit 1, three AND-OR gates rippling it to bit 4, three multiplexers bypassing it to C12, 3 AND-OR gates rippling through bit 15, and a final XOR to produce S16. Hence the multiplexer of an AND22-OR function, is slightly slower than the AND-OR function.

How to Calculate K-Input 'And' Gate?

K-Input 'And' Gate calculator uses K-Input AND Gate = N-bit Carry Skip Adder/N-Input AND Gate to calculate the K-Input AND Gate, The K-input 'and' gate formula is defined as the kth input in the And gate in the logic gate.The AND gate is a basic digital logic gate that implements logical conjunction. K-Input AND Gate is denoted by K symbol.

How to calculate K-Input 'And' Gate using this online calculator? To use this online calculator for K-Input 'And' Gate, enter N-bit Carry Skip Adder (Ncarry) & N-Input AND Gate (n) and hit the calculate button. Here is how the K-Input 'And' Gate calculation can be explained with given input values -> 7 = 14/2.

FAQ

What is K-Input 'And' Gate?
The K-input 'and' gate formula is defined as the kth input in the And gate in the logic gate.The AND gate is a basic digital logic gate that implements logical conjunction and is represented as K = Ncarry/n or K-Input AND Gate = N-bit Carry Skip Adder/N-Input AND Gate. N-bit Carry Skip Adder is slightly slower than the AND-OR function & N-input AND gate is defined as the number of inputs in the AND logic gate for the desirable output.
How to calculate K-Input 'And' Gate?
The K-input 'and' gate formula is defined as the kth input in the And gate in the logic gate.The AND gate is a basic digital logic gate that implements logical conjunction is calculated using K-Input AND Gate = N-bit Carry Skip Adder/N-Input AND Gate. To calculate K-Input 'And' Gate, you need N-bit Carry Skip Adder (Ncarry) & N-Input AND Gate (n). With our tool, you need to enter the respective value for N-bit Carry Skip Adder & N-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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