Research Article

Efficient Scheme for Implementing Large Size Signed Multipliers Using Multigranular Embedded DSP Blocks in FPGAs

Table 1

Decomposition of input bit sizes for large size multipliers.

Segments Range 1: double decomposition Range 2: single decomposition
{ 2 𝜆 1 [ 𝑡 ( 𝑚 1 ) ] } + ( 𝑚 1 ) × ( 𝑛 1 ) { [ ( 𝑡 + 1 ) ( 𝑚 1 ) ] 𝜆 1 𝑛 } + ( 𝑚 1 ) × ( 𝑛 1 )

m = 2 37 to 5253 to 71
m = 372 to 8687 to 106
m = 4 107 to 120121 to 141
m = 5142 to 154155 to 176
m = 6177 to 188189 to 211
m = 7 212 to 222223 to 246
m = 8247 to 256257 to 281