Array Efficiency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Array Efficiency = (Area of One Bit Memory Cell*Absolute Frequency)/Area of Memory Cell
E = (Abit*fabs)/A
This formula uses 4 Variables
Variables Used
Array Efficiency - Array Efficiency is defined as the bitcell size divided by the ACPB. In order to normalize this metric, independent of technology node.
Area of One Bit Memory Cell - (Measured in Square Meter) - Area of One Bit memory cell is defined as the memory cell, which is an electronic circuit that stores one bit of binary information. It must be set to store a logic 1 and reset to store a logic 0.
Absolute Frequency - (Measured in Hertz) - Absolute Frequency is the number of occurrences of a particular data point in a dataset. It represents the actual count or tally of how many times a specific value appears in the data.
Area of Memory Cell - (Measured in Square Meter) - Area of Memory Cell is defined as the total area occupied by the N number of bits of memory.
STEP 1: Convert Input(s) to Base Unit
Area of One Bit Memory Cell: 47.72 Square Millimeter --> 4.772E-05 Square Meter (Check conversion here)
Absolute Frequency: 10 Hertz --> 10 Hertz No Conversion Required
Area of Memory Cell: 542.27 Square Millimeter --> 0.00054227 Square Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = (Abit*fabs)/A --> (4.772E-05*10)/0.00054227
Evaluating ... ...
E = 0.880004425839526
STEP 3: Convert Result to Output's Unit
0.880004425839526 --> No Conversion Required
FINAL ANSWER
0.880004425839526 0.880004 <-- Array Efficiency
(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

Array Efficiency Formula

Array Efficiency = (Area of One Bit Memory Cell*Absolute Frequency)/Area of Memory Cell
E = (Abit*fabs)/A

What is significance of ras and cas in SDRAM?

SDRAM receives its address command in two address words.It uses a multiplex scheme to save input pins. The first address word is latched into the DRAM chip with the row address strobe (RAS).Following the RAS command is the column address strobe (CAS) for latching the second address word.Shortly after the RAS and CAS strobes, the stored data is valid for reading.

How to Calculate Array Efficiency?

Array Efficiency calculator uses Array Efficiency = (Area of One Bit Memory Cell*Absolute Frequency)/Area of Memory Cell to calculate the Array Efficiency, The Array efficiency formula is defined as the bitcell size divided by the ACPB to normalize this metric independent of technology node. Array Efficiency is denoted by E symbol.

How to calculate Array Efficiency using this online calculator? To use this online calculator for Array Efficiency, enter Area of One Bit Memory Cell (Abit), Absolute Frequency (fabs) & Area of Memory Cell (A) and hit the calculate button. Here is how the Array Efficiency calculation can be explained with given input values -> 10 = (4.772E-11*10)/0.00054227.

FAQ

What is Array Efficiency?
The Array efficiency formula is defined as the bitcell size divided by the ACPB to normalize this metric independent of technology node and is represented as E = (Abit*fabs)/A or Array Efficiency = (Area of One Bit Memory Cell*Absolute Frequency)/Area of Memory Cell. Area of One Bit memory cell is defined as the memory cell, which is an electronic circuit that stores one bit of binary information. It must be set to store a logic 1 and reset to store a logic 0, Absolute Frequency is the number of occurrences of a particular data point in a dataset. It represents the actual count or tally of how many times a specific value appears in the data & Area of Memory Cell is defined as the total area occupied by the N number of bits of memory.
How to calculate Array Efficiency?
The Array efficiency formula is defined as the bitcell size divided by the ACPB to normalize this metric independent of technology node is calculated using Array Efficiency = (Area of One Bit Memory Cell*Absolute Frequency)/Area of Memory Cell. To calculate Array Efficiency, you need Area of One Bit Memory Cell (Abit), Absolute Frequency (fabs) & Area of Memory Cell (A). With our tool, you need to enter the respective value for Area of One Bit Memory Cell, Absolute Frequency & Area of Memory Cell 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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