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Hexadecimal to Denary Conversion Practice

Convert 55 from hexadecimal to denary:

5516

=  
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Step 1: Split the Bits

Split the two hexadecimal numbers into single digits.

55
 
5 5

Step 2: Convert Digits to Denary

Convert each digit to denary.

For numbers 0 – 9, it will be the same. For numbers A – F, use 10 – 15.

5=5

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

5=5

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


Step 3: Convert to Binary Nibbles

Convert each denary digit into a nibble (a four-bit binary number).

5 =

8 4 2 1
0101

5 =

8 4 2 1
0101

Step 4: Join into a Byte

Put our two binary nibbles together to create one byte.

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

128 64 32 16   8 4 2 1
0101 0101

Step 5: Convert Binary to Denary

Finally, convert the whole binary byte into a decimal number.

128 64 32 16 8 4 2 1
01010101

64 + 16 + 4 + 1 = 85


The answer

We have now converted 5516 to 8510.

85