Question

Convert the 16-bit word 10101100011010112 to octal (base 8) Please explain the steps!

Convert the 16-bit word 10101100011010112 to octal (base 8)

Please explain the steps!

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Answer #1

1010110001101011

An octal digit is formed using 3 bits of binary digit, hence break the input number into chunks of 3 binary digits starting from right side.
1 010 110 001 101 011

Now convert each chunk separately to octal
1 in binary => 1 in octal
010 in binary => 2 in octal
110 in binary => 6 in octal
001 in binary => 1 in octal
101 in binary => 5 in octal
011 in binary => 3 in octal

So number becomes: 126153

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