4656880254

Table 2.3. Cost C (i.e., number of adders) for all 8-bit numbers using the multiplier adder graph (MAG) techniąue.

c	CoefHcient
0	1, 2,	4, 8, 16,	32, 64, 128, 256
	3, 5,	6, 7, 9, 10, 12, 14, 15, 17, 18		i. 20,	24, 28, 30, 31,		33,	34, 36, 40	,48,
1	56, 60, 62, 63,		65, 66, 68, 72, 80,	96, :	112, 120.	124,	126,	127, 129,	130,
	132,	136, 144,	160, 192, 224, 240,	248.	, 252, 254	, 255
	11, 13, 19, 21,		22, 23, 25, 26, 27,	29,	35, 37, 38	39,	41,	42, 44, 46	, 47,
	49, 50, 52, 54,		55, 57. 58, 59. 61,	67,	69. 70, 71	, 73,	74,	76, 78, 79	, 81,
	82. 84, 88, 92,		94, 95, 97. 98, 100,	104,	108, 110,	111,	113.	114, 116,	118,
2	119,	121, 122,	123, 125, 131. 133,	134,	135. 137,	138,	140,	142, 143,	145,
	146,	148, 152,	156, 158, 159, 161,	162,	164. 168,	176,	184,	188, 190,	191,
	193,	194, 196,	200, 208, 216, 220,	222,	223. 225,	226,	228,	232, 236,	238,
	239,	241, 242,	244, 246, 247, 249,	250,	, 251, 253
	43, 45, 51, 53.		. 75, 77. 83, 85, 86.	87,	89, 90. 9]	., 93,	99,	101. 102,	103,
	105,	106. 107,	109, 115, 117, 139,	141,	147, 149,	150,	151,	153, 154,	155,
Q	157,	163, 165,	166, 167, 169. 170,	172,	174. 175,	177,	178,	180, 182,	183,
6	185,	186, 187,	189, 195, 197, 198,	199,	201, 202,	204,	206,	207, 209,	210,
	212,	214, 215,	217, 218, 219, 221,	227,	229. 230,	231,	233,	234, 235,	237,
	243,	245
4	171,	173, 179,	181, 203, 205, 211,	213

Minimum costs through factorization

45 = 5 x 9, 51 = 3 x 17, 75 = 5 x 15, 85 = 5 x 17,90 = 2 x 9 x 5, 93 =

3    x 31,99 = 3 x 33,102 = 2x3x17,105 = 7 x 15,150 = 2 x 5 x 15,153 =

2    9 x 17,155 = 5 x 31,165 = 5 x 33,170    = 2 x 5 x 17,180 = 4 x 5 x

9,186 = 2 x 3 x 31,189 = 7 x 9,195 = 3    x 65,198 = 2 x    3 x 33, 204 =

4    x 3 x 17,210 = 2 x 7 x 15,217 = 7 x 31,231 = 7 x 33

~    171 = 3 x 57.173 = 8 + 165, 179 = 51    + 128,181 = 1    + 180,211 =

1 + 210, 213 = 3 x 71, 205 = 5 x 41,203 = 7 x 29