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7 is brought down because when 0 8 and 1 are combined the total frequency is 1300, which is greater than the frequency of 7
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7 is brought down because when 0 8 and 1 are combined the total frequency is 1300, which is greater than the frequency of 7

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63 goes to the top because their combined frequency, 3340+2890=6250 is greater than any other entry
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63 goes to the top because their combined frequency, 3340+2890=6250 is greater than any other entry

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Page one is the algorithm and page 2 is an example.<br />
<br />
Off the example, I understand that the the Freq column is organised in descending order then the bottom probabilities are added then the number 8 is brought up to join the 0. But the third column confuses me... how come the 7 is brought down? also the same for the 4th part where the 2 is brought down? Then the 4 and 3 are brought down in the next part? <br />
<br />
Also why on the 4th last 6 and 3 is put straight to the top? Why is this?<br />
<br />
I cant see the reasons for this mentioned in the algorithm.<br />
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<a href="https://filedb.experts-exchange.com/incoming/2009/05_w18/134925/page2.jpg" target="_blank" class="file-inline" title="page 2 (213 KB)"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path d="M67.508 468.467c-58.005-58.013-58.016-151.92 0-209.943l225.011-225.04c44.643-44.645 117.279-44.645 161.92 0 44.743 44.749 44.753 117.186 0 161.944l-189.465 189.49c-31.41 31.413-82.518 31.412-113.926.001-31.479-31.482-31.49-82.453 0-113.944L311.51 110.491c4.687-4.687 12.286-4.687 16.972 0l16.967 16.971c4.685 4.686 4.685 12.283 0 16.969L184.983 304.917c-12.724 12.724-12.73 33.328 0 46.058 12.696 12.697 33.356 12.699 46.054-.001l189.465-189.489c25.987-25.989 25.994-68.06.001-94.056-25.931-25.934-68.119-25.932-94.049 0l-225.01 225.039c-39.249 39.252-39.258 102.795-.001 142.057 39.285 39.29 102.885 39.287 142.162-.028A739446.174 739446.174 0 0 1 439.497 238.49c4.686-4.687 12.282-4.684 16.969.004l16.967 16.971c4.685 4.686 4.689 12.279.004 16.965a755654.128 755654.128 0 0 0-195.881 195.996c-58.034 58.092-152.004 58.093-210.048.041z"/></svg>page2.jpg</a>
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page2.jpg

page1.jpg

Page one is the algorithm and page 2 is an example.

Off the example, I understand that the the Freq column is organised in descending order then the bottom probabilities are added then the number 8 is brought up to join the 0. But the third column confuses me... how come the 7 is brought down? also the same for the 4th part where the 2 is brought down? Then the 4 and 3 are brought down in the next part? 

Also why on the 4th last 6 and 3 is put straight to the top? Why is this?

I cant see the reasons for this mentioned in the algorithm.

Please help understand this huffman coding tutorial (scanned lecture notes attached)

Databases are organized collections of data, most commonly accessed through management systems including schemas, tables, queries and processes that allow users to enter and manipulate the information or utilize it in other fashions, such as with web applications or for reporting purposes.

Databases

An algorithm is a self-contained step-by-step set of operations to be performed. Algorithms exist that perform calculation, data processing, and automated reasoning. Starting from an initial state and initial input (perhaps empty), the instructions describe a computation that, when executed, proceeds through a finite number of well-defined successive states, eventually producing "output" and terminating at a final ending state. The transition from one state to the next is not necessarily deterministic; some algorithms, known as randomized algorithms, incorporate random input.

Algorithms

The Math / Science topic primarily includes discussions of mathematics, physics, statistics and economic analysis, but also biology, chemistry and other sciences.