How does a 16-digit binary pattern convert to a hexadecimal value?

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

1. Group the Binary Digits: Start by dividing the 16-digit binary number into groups of four digits, starting from the right. For example, if your binary number is 1010110011001010, you would group it as 1010 1100 1100 1010.
2. Convert Each Group to Decimal: Next, convert each group of four binary digits into its decimal equivalent. Using our example:
   • 1010 (binary) = 10 (decimal)
   • 1100 (binary) = 12 (decimal)
   • 1100 (binary) = 12 (decimal)
   • 1010 (binary) = 10 (decimal)
3. Map Decimal Values to Hexadecimal: Now, map the decimal values to their corresponding hexadecimal characters. The hexadecimal system uses numbers 0-9 and letters A-F to represent values 10-15. Therefore:
   • 10 (decimal) = A (hex)
   • 12 (decimal) = C (hex)
   • 12 (decimal) = C (hex)
   • 10 (decimal) = A (hex)
4. Combine the Hex Values: Finally, combine all the hexadecimal characters together to form the final hexadecimal value. From our example, we get: ACCA.

Therefore, the hexadecimal value for the binary pattern 1010110011001010 is ACCA.