To convert a hexadecimal (base-16) number to binary (base-2), you can follow these steps:

Step-by-Step Process:

1. Write down the hexadecimal number.

   • For example, let's convert 2F (hexadecimal) to binary.

2. Convert each hexadecimal digit to its 4-bit binary equivalent. Each hex digit corresponds to a 4-bit binary number. Here's the conversion table for hexadecimal to binary:

   Hex	Binary
   0	0000
   1	0001
   2	0010
   3	0011
   4	0100
   5	0101
   6	0110
   7	0111
   8	1000
   9	1001
   A	1010
   B	1011
   C	1100
   D	1101
   E	1110
   F	1111

3. Apply the conversion:

   • For 2F, the hex digits are:
     • 2 → 0010
     • F → 1111

4. Combine the binary digits:

   • 2F (hex) = 00101111 (binary)

Final Result:

The hexadecimal number 2F is equal to 00101111 in binary.

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Would you like more detailed steps or additional examples? Feel free to ask!

Here are 5 related questions to explore further:

1. How do you convert binary to hexadecimal?
2. What is the importance of binary and hexadecimal systems in computing?
3. How can hexadecimal be used to represent large binary numbers more efficiently?
4. Can you explain the differences between decimal, hexadecimal, and binary systems?
5. How do you convert a large hexadecimal number (like ABCD) to binary?

Tip:

When converting hexadecimal to binary, remember that each hex digit is always represented by exactly 4 bits. This makes the conversion process straightforward and easy to apply for larger numbers.