Question

Convert from octal to hex:
a. 136572
b. 177630.255254

Answer 1

To convert the octal number 136572 to hexadecimal, first convert it to binary (001 011 110 101 111 010), then group the binary digits into sets of four from the right, and convert those groups to hexadecimal, resulting in the hexadecimal number 2F5E.

Step-by-step explanation:

Converting from Octal to Hexadecimal

To convert a number from octal to hexadecimal format, you can follow a two-step process. First, convert the octal number to binary, and then convert the binary number to hexadecimal. We'll use octal number 136572 as an example:

1. Convert the octal number to binary. Each octal digit corresponds to a 3-bit binary number.
   Octal 1 = Binary 001
   Octal 3 = Binary 011
   Octal 6 = Binary 110
   Octal 5 = Binary 101
   Octal 7 = Binary 111
   Octal 2 = Binary 010
   So, Octal 136572 = Binary 001 011 110 101 111 010.
2. Convert the binary number to hexadecimal. Combine the binary digits into groups of four, starting from the right, to form hexadecimal digits.
   Binary 0010 1111 0101 1110 10 (add two 0s to the left to make it a multiple of 4) = Hex 2F5E.

Therefore, the correct option in the final answer for converting the octal number 136572 to hexadecimal is 2F5E.