Short Answer 
The encoding scheme assigns unique binary codes to characters of varying lengths, optimizing representation based on character frequency. For example, the phrase “HELLO WORLD” translates to a specific binary sequence. This scheme enhances efficiency in data storage and transmission by minimizing the total number of bits used.
Step 1: Understand the Encoding Scheme
In an encoding scheme, each character is assigned a unique binary code. This coding can vary in length, making it more efficient for certain characters. For example, the letters A-Z and space can be encoded as follows:
- A: 00
- B: 01
- C: 10
- …Z: 10101
- Space: 10110
Step 2: Encode a Phrase Using the Scheme
To encode a phrase using the provided encoding scheme, replace each character with its corresponding binary code. For instance, take the phrase “HELLO WORLD” and break it down:
- H: 00010
- E: 00101
- L: 00110
- O: 00111
- Space: 10110
Using the codes, “HELLO WORLD” translates to:
- 00010101100101100110000010101011001010000001101
Step 3: Benefits of the Encoding Scheme
This encoding scheme offers a more efficient way to represent characters by using fewer bits for more common letters and more bits for less common ones. This approach reduces the total number of bits needed for encoding a message. Understanding this can help in optimizing data storage and transmission in various applications that rely on binary encoding.