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Hexadecimal to Denary Conversion Practice

Convert BE from hexadecimal to denary:

BE16

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Step 1: Split the Bits

Split the two hexadecimal numbers into single digits.

BE
 
B E

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.

B=11

B in hex is equivalent to 11 in denary.

E=14

E in hex is equivalent to 14 in denary.


Step 3: Convert to Binary Nibbles

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

11 =

8 4 2 1
1011

14 =

8 4 2 1
1110

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
1011 1110

Step 5: Convert Binary to Denary

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

128 64 32 16 8 4 2 1
10111110

128 + 32 + 16 + 8 + 4 + 2 = 190


The answer

We have now converted BE16 to 19010.

190