1- In recent work [1,13,19], researchers have shown the importance of energy minimization and its strong correlation with power.
2- work in [11, 15] proved that although the activity in the circuit may be the same, different combinations of power values still results in different energy values.
3- Many previous works targeted the minimization of energy which corresponds to number of positive power values for worst case vector pairs.
4- In [26,28], the authors have shown that amount of power drawn from supply voltage (and sunk to ground is different depending on the energy value.
5- For example, they have shown that a positive power value on the output draws approximately five times (5x) the current from power supply compared to that sunk to ground.
6- Alternately, a negative power value would result in current sunk to ground in access of 7x when compared to that drawn from the supply.
7- This means that the power plays a major role in the amount of energy consumed by the circuit , thus minimizing the number of positive power values only does not guarantee true minimum energy.
8- It can be seen from the results that power is reduced when using C-K concept when compared to the other approaches even for Y-M based ordering. For example, columns NM and HU both approaches have the same number of power (3), however, HU approach have lower power (2 for HU compared to 3 for NM approach).
9- In this work, we employed the C-K algorithm to reduce power by assigning Y bits suitable value of -1 or 1. Each Y in a vector is considered a node. Based on the initial random assignment value, all nodes associated with Y bits are placed in two partitions: 1-partition and -1-partition based on their initial fill value.
10- Algorithm HU is our implementation of filling algorithm that minimizes energy.
11- Then the newly selected vector becomes x, y is deleted from the unfilled list, and the process is repeated again.
12- In our framework, we initially randomly fill these Y bits then and reorder the input set, then we analyze these assignments for energy improvement and modify their assignments, when needed, to reduce energy.
13- Y Bits that were filled with -1 are placed in partition ‘-1’ whereas those filled with ‘1’ are placed in partition ‘1’
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