How do you convert a 16-digit binary pattern to its hexadecimal equivalent?

To convert a 16-digit binary pattern to a hexadecimal value, follow these steps:

• Understand Binary and Hexadecimal: Binary is a base-2 numeral system that uses two symbols, typically 0 and 1, whereas hexadecimal is a base-16 system, utilizing sixteen distinct symbols: 0-9 for values zero to nine and A-F for values ten to fifteen.

Step 1: Break the Binary Pattern into Groups

• Since each hexadecimal digit represents four binary digits (bits), divide your 16-digit binary string into four groups of four bits each.
• For example, if your binary pattern is 1101101011110010, it can be grouped as follows: 1101 1010 1111 0010.

Step 2: Convert Each Binary Group to Decimal

• Now, convert each group of four binary digits into its equivalent decimal value:
• 1101 = 13
• 1010 = 10
• 1111 = 15
• 0010 = 2

Step 3: Convert Decimal Values to Hexadecimal

• Next, convert these decimal values into their hexadecimal equivalents:
• 13 in decimal is D in hexadecimal.
• 10 in decimal is A in hexadecimal.
• 15 in decimal is F in hexadecimal.
• 2 in decimal is 2 in hexadecimal.

Step 4: Combine Hexadecimal Digits

• Finally, combine the hexadecimal digits obtained from each group:
• From our example, you would combine D, A, F, and 2 to get the final hexadecimal value: DAF2.

Final Result:

• Therefore, the 16-digit binary pattern 1101101011110010 converts to the hexadecimal value DAF2.

This method of converting binary to hexadecimal is straightforward and helpful when working with digital systems as it simplifies the representation of large binary numbers.