Task: Learning Journal

Open your Learning Journal by clicking on the image below

Good notes will help you organise and process data and information

Introduction:

In computer science, numbers are often represented in different number systems, such as decimal (base 10), binary (base 2), and hexadecimal (base 16). These number systems are used for different purposes, and it's important to be able to convert between them.

Converting between hexadecimal and decimal can be done by converting the hexadecimal number to binary and then to decimal. Similarly, converting between decimal and hexadecimal can be done by converting the decimal number to binary and then to hexadecimal.

To convert a hexadecimal number to decimal, you can first convert the hexadecimal number to binary by converting each hexadecimal digit to its 4-bit binary equivalent. The 4-bit binary numbers are then combined to give the binary representation of the original hexadecimal number. This binary number can then be converted to decimal by multiplying each digit by the appropriate power of 2 and then adding up the results.

Steps for Hexadecimal to Binary to Decimal Conversion:

1. Write down the hexadecimal number.
2. Convert each hexadecimal digit to its 4-bit binary equivalent using the following table:

3. Combine the 4-bit binary numbers to give the binary representation of the original hexadecimal number.
4. Convert the binary number to decimal by multiplying each digit by the appropriate power of 2 and then adding up the results.

It's important to note that hexadecimal numbers can be represented by fewer digits than their equivalent Sure, here are the examples without the table data:

Example 1: Converting from Hexadecimal to Binary

Convert the hexadecimal number 3F to binary:

1. 3 is equal to 0011 in binary.
2. F is equal to 1111 in binary.
3. The binary representation of 3F is 00111111, which is obtained by combining the binary numbers for 3 and F.

Therefore, 3F in hexadecimal is equal to 00111111 in binary.

Example 2: Converting from Binary to Hexadecimal

Convert the binary number 10101011 to hexadecimal:

1. Split the binary number into groups of four bits: 1010 1011.
2. Convert each group of four bits to its hexadecimal equivalent:

3. The hexadecimal representation of 10101011 is AB, which is obtained by combining the hexadecimal numbers for the two groups of four bits.

Therefore, 10101011

Task:

Open your student workbook at page 18 Read through the notes then complete the following task in your book.

1. Task 8

When you are finished screenshot your answer into your Learning Journal