Question

Calculate the file size if there are 256 words in a document and each word length is 4 characters. Show your working and calculate the file size in kilobytes.

Answer 1

To calculate the file size of a document, we need to consider the number of words, the length of each word (in characters), and the encoding used (usually measured in bytes per character). Given that each word has a length of 4 characters and we're assuming a common ASCII encoding (1 byte per character), we can calculate the file size as follows:

Number of words: 256

Length of each word: 4 characters

Bytes per character (ASCII): 1 byte

File size = Number of words × Length of each word × Bytes per character

File size = 256 words × 4 characters/word × 1 byte/character

File size = 1024 bytes

Now, to convert the file size from bytes to kilobytes (KB), we need to divide by 1024 (since 1 KB = 1024 bytes):

File size in kilobytes (KB) = 1024 bytes / 1024

File size in kilobytes (KB) = 1 KB

So, the file size of the document with 256 words, where each word has a length of 4 characters, is approximately 1 kilobyte.

Step-by-step explanation:

Answer 2

Answer: To calculate the file size, we need to consider the number of words, the length of each word in characters, and the encoding used to store the characters. Common text encodings include ASCII and UTF-8. For this calculation, I will assume that the document is encoded using UTF-8, as it is a widely used encoding that supports various characters and is more space-efficient than ASCII for non-English text.

Working:

Calculate the total number of characters in the document:

Total characters = Number of words * Word length in characters

Total characters = 256 words * 4 characters/word

Total characters = 1024 characters

Calculate the file size in bytes:

Since we are using UTF-8 encoding, each character can be represented by 1 to 4 bytes, depending on the character itself.

On average, English characters take 1 byte, while some special characters may take up to 4 bytes.

For the sake of this calculation, let's assume an average of 2 bytes per character.

File size in bytes = Total characters * Average bytes per character

File size in bytes = 1024 characters * 2 bytes/character

File size in bytes = 2048 bytes

Convert the file size to kilobytes (KB):

1 KB = 1024 bytes

File size in kilobytes (KB) = File size in bytes / 1024

File size in kilobytes (KB) = 2048 bytes / 1024

File size in kilobytes (KB) = 2 KB

So, the file size of the document is 2 kilobytes (KB) when there are 256 words in the document, and each word length is 4 characters.