Improved Quantization Error Compensation Method for Fixed-Width Booth Multipliers

Table 1

The modified Booth recoding.

𝑦2𝑖+1𝑦2𝑖𝑦2𝑖−1	𝑦^′𝑖	𝑋𝑖,sel2	𝑋𝑖,sel1	𝑆𝑖,sel	𝑦^′′𝑖
000	0	0	0	0	0
001	×1	0	1	0	1
010	×1	0	1	0	1
011	×2	1	0	0	1
100	×(−2)	1	0	1	1
101	×(−1)	0	1	1	1
110	×(−1)	0	1	1	1
111	0	0	0	1	0