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Lattice algorithm for multiplication

Lattice algorithm for multiplication

 
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Objective:

To master the lattice algorithm.

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Tutorial

Overview

The lattice algorithm is used for multiplying multi-digit numbers. Some important features of the algorithm include:

  • We do not pay attention to the values of the numbers as we work through the algorithm-only to the digits themselves,
  • We do all of the multiplications first, followed by the additions (in contrast to the standard algorithm), meaning...
  • There is no carrying in the multiplication phase of the algorithm, and
  • We have to take a little bit of time to set up the lattice before we can begin multiplying.

In this packet, I will solve two problems:

  1. A 2-digit by 2-digit problem, and
  2. A 3-digit by 2-digit problem

Two-digit by two-digit example

This video demonstrates the lattice algorithm with two two-digit numbers.

Three-digit by two-digit example

This video demonstrates the lattice algorithm with larger numbers.

Lattice v. standard algorithm smackdown

So you spend a lot of time setting up the lattice, right? It must take a lot longer than the standard algorithm, right?
Let's see.
I'll multiply two 10-digit numbers. Which will be completed first? And by how much?
(Note: While the video is sped up, it still takes two minutes...feel free to fast forward to the end!)

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