Solved Problem - Binary to Hexadecimal Conversion


Question

Convert the binary number 1101101101101 to its hexadecimal equivalent.


Answer

The binary number 1101101101101 has 13 digits. First extend this to a multiple of 4 (i.e. 16) by adding three leading 0s to the number, i.e.

11011011001101 becomes 0001101101101101

Next break the binary number up into nibbles (4-bit groups) and convert each nibble to its hexadecimal equivalent.

Binary000110110110 1101
Hexadecimal1B6 D

hence

1101101101101bin = 1B6Dhex


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