Improved Quantization Error Compensation Method for Fixed-Width Booth Multipliers

Table 4

The statistic of carry output states for different categories.

Category	Total numbers of 𝑟𝑖=1							NoS
	𝑟0	𝑟1	𝑟2	𝑟3	𝑟4	𝑟5	𝑟6
cate-0	0	0	0	0	0	0	0	0
cate-1	7		0	0	0	0	0	8
cate-2	63	21	0	0	0	0	0	8^2
cate-3	511	350	35	0	0	0	0	8^3
cate-4	4095	3605	1225	35	0	0	0	8^4
cate-5	32767	31486	18844	2898	21	0	0	8^5
cate-6	262143	259147	205534	71022	4963	7	0	8^6
cate-7	2097151	2090724	1897019	1048576	200133	6428	1	8^7
cate-8	16777215	16764354	16144677	11782380	4146393	438834	6435	8^8