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Denary to Hexadecimal Conversion

Convert 68 from denary to hexadecimal:

6810

=  
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Step 1: Convert Denary to Binary

Convert the denary number 68 into an 8-bit binary number.

128 64 32 16 8 4 2 1
01000100

68 = 64 + 4


Step 2: Split into Nibbles

Split the 8-bit binary number into two 4-bit binary numbers.

Remember to re-number the binary columns for the first nibble.

8 4 2 1   8 4 2 1
0100 0100

Step 4: Convert each Nibble to Denary

Convert each binary nibble into denary.

8 4 2 1
0100

= 4

8 4 2 1
0100

= 4


Step 5: Convert each Denary Digit to Hexadecimal

Convert each denary number to its hexadecimal equivalient.

Denary numbers 10–15 are equivalent to hexadecimal numbers A–F.

4=4

4 less than 10, so it is the same in hexadecimal and denary.

4=4

4 less than 10, so it is the same in hexadecimal and denary.


Step 6: Combine the Digits

Bring the two separate hexadecimal values together, and the conversion is complete!

4 4
 
44

The answer

We have now converted 68 10 to 4416.

44