Comparative Analysis of Heterogeneous Adders: Evaluating Performance across 12-bit, 14-bit, and 16-bit Configurations

Figure 1.

Figure 2.

Figure 3.

Area analysis of 12-bit adder

Types	LUT (41000)	Slice (10250)	Cells	Nets
12CLA	12	4	29	97
2RCA+10CLA	11	5	61	48
4RCA+8CLA	10	5	46	80
6RCA+6CLA	10	4	38	72
8RCA+4CLA	10	5	30	64
12 RCA	12	4	12	49

Area calculation of 16-bit adder

Types	LUT (41000)	Slice (10250)	Cells	Nets
16CLA	16	7	37	129
2RCA+14CLA	15	7	74	120
4RCA+12CLA	14	7	83	129
6RCA+10CLA	14	6	58	104
8RCA+8CLA	14	7	50	96
10RCA+6CLA	14	7	42	88
12RCA+4CLA	14	7	34	80
16RCA	16	6	16	65

12-Bit

m-bit CLA	n-bit RCA
4	8
6	6
8	4
10	2

Power calculation of 14-bit adder

Types	Total Power (in W)	Dynamic Power PD (in W)			PD = PS+PL+PI (in W)
		Signal Power PS	Logic Power PL	IO Power PI
14CLA	9.865	0.523	0.087	9.146	9.756
2RCA+12CLA	9.510	0.352	0.092	8.959	9.403
6RCA+8CLA	9.489	0.349	0.092	8.942	9.383
8RCA+6CLA	9.483	0.345	0.089	8.942	9.376
10RCA+4CLA	9.482	0.345	0.089	8.941	9.375
4RCA+10CLA	9.495	0.341	0.086	8.944	9.371
14RCA	9.623	0.360	0.096	9.059	9.515

Best area analysis of 12-bit, 14-bit, and 16-bit heterogeneous adders

Types	Combinations	Slice
12-bit	6RCA+6CLA	4
14-bit	6RCA+8CLA	5
16-bit	6RCA+10CLA	6

Power calculation of 12-bit adder

Types	Total Power (in W)	Dynamic Power PD (in W)			PD = PS+PL+PI (in W)
		Signals Power PS	Logic Power PL	IO Power PI
12CLA	8.279	0.292	0.084	7.801	8.177
2RCA+10CLA	8.161	0.278	0.080	7.701	8.059
4RCA+8CLA	8.141	0.279	0.074	7.686	8.039
6RCA+6CLA	8.145	0.282	0.078	7.683	8.043
8RCA+4CLA	8.145	0.283	0.077	7.683	8.043
12RCA	8.280	0.293	0.084	7.801	8.178

Best power analysis of 12-bit, 14-bit & 16-bit heterogeneous adders

Types	Combinations	Total Power (in W)
12-bit	4RCA+8CLA	8.141
14-bit	10RCA+4CLA	9.482
16-bit	4RCA+12CLA	10.827

Area analysis of 14-bit adder

Types	LUT (41000)	Slice (10250)	Cells	Nets
14CLA	14	7	48	128
2RCA+12CLA	13	6	64	104
6RCA+8CLA	12	5	48	88
8RCA+6CLA	12	6	40	80
10RCA+4CLA	12	6	32	72
4RCA+10CLA	12	6	71	111
14RCA	14	5	14	57

Power calculation of 16-bit adder

Types	Total Power (in W)	Dynamic Power PD (in W)			PD = PS+PL+PI (in W)
		Signal Power PS	Logic Power PL	IO Power PI
16CLA	10.971	0.422	0.118	10.319	10.859
2RCA+14CLA	10.848	0.410	0.108	10.218	10.736
4RCA+12CLA	10.827	0.408	0.104	10.202	10.714
6RCA+10CLA	10.830	0.410	0.108	10.200	10.718
8RCA+8CLA	10.833	0.415	0.106	10.200	10.721
10RCA+6CLA	10.828	0.412	0.105	10.200	10.717
12RCA+4CLA	10.832	0.416	0.104	10.199	10.719
16RCA	10.962	0.418	0.114	10.316	10.848

14-Bit

m-bit CLA	n-bit RCA
4	10
6	8
8	6
10	4
12	2

16-Bit

m-bit CLA	n-bit RCA
4	12
6	10
8	8
10	6
12	4
14	2