Question

Convert from hex to octal:
a. 34BC
b. ABC3.FF23

Answer 1

To convert from hex to octal, first convert the hex numbers to binary and then convert the binary numbers to octal.

Step-by-step explanation:

To convert from hex to octal, we need to first convert the hex numbers to binary, and then convert the binary numbers to octal.

For example, let's convert the number 34BC to octal:

1. Convert
   `34BC` to binary:
   `3 = 0011, 4 = 0100, B = 1011, C = 1100.` Combine these binary numbers to get
   `0011010010111100.`
2. Group the binary number into groups of
   `3: 001 101 001 011 110 0.`Note that we add a leading zero if necessary.
3. Convert each group of three binary digits to an octal digit:
   `001 = 1, 101 = 5, 001 = 1, 011 = 3, 110 = 6, 0 = 0`. Combine these octal numbers to get
   `151360.`

Therefore,
`34BC` in hexadecimal is equivalent to
`151360` in octal.

Follow the same steps to convert
`ABC3.FF23` to octal.