Question

What is 110110 converted to octal?

Answer 1

To convert the binary number \(110110\) to octal, first group the binary digits into sets of three, starting from the right. If needed, pad the leftmost group with zeros:

- \(110110\) becomes \(1\ 101\ 110\) (pad to \(001\ 101\ 110\))

Next, convert each group to its octal equivalent:

- \(001\) = \(1\)
- \(101\) = \(5\)
- \(110\) = \(6\)

So, \(110110\) in octal is \(156\).

Answer 2

To convert the binary number `110110` to octal, follow these steps:

1. **Group the binary digits into sets of three, starting from the right**. If necessary, pad with leading zeros:
   - `110110` → `11 011 110` (pad the leftmost group with zeros if needed) → `011 011 110`

2. **Convert each group of three binary digits to its octal equivalent**:
   - `011` in binary is `3` in octal
   - `011` in binary is `3` in octal
   - `110` in binary is `6` in octal

3. **Combine the octal digits**:
   - So, `110110` in binary is `336` in octal.

Therefore, the octal representation of the binary number `110110` is `336`.