Editing Toom–Cook multiplication (section)

=== Recomposition ===

Finally, we evaluate r(B) to obtain our final answer. This is straightforward since B is a power of ''b'' and so the multiplications by powers of B are all shifts by a whole number of digits in base ''b''. In the running example b = 10<sup>4</sup> and B = b<sup>2</sup> = 10<sup>8</sup>.

:{|
|-
| || || || || || || || ||3084||8414||8617||5176
|-
| || || || || || ||6740||4157||2123||7444|| ||
|-
| || || || ||3422||4165||8197||1852|| || || ||
|-
| || 
|align=right| 13||1284||3338||7466|| || || || || ||
|-
| + ||121||9313||1840|| || || || || || || ||
|-
|colspan=100|<hr>
|-
| ||121||9326||3124||6761||1632||4937||6009||5208||5858||8617||5176
|}

And this is in fact the product of 1234567890123456789012 and 987654321987654321098.