To convert the binary number \(101101\) to octal, follow these steps:
### Step 1: Group the binary digits in sets of three, starting from the right.
If necessary, add leading zeros to make the number of digits a multiple of three.
The binary number is \(101101\). Group it into three digits from the right:
\[
101101 \rightarrow 101 \ 101
\]
### Step 2: Convert each group of three binary digits to its octal equivalent.
- \(101_2\) = \(5_8\)
- \(101_2\) = \(5_8\)
### Step 3: Combine the octal digits.
So, \(101101_2\) becomes \(55_8\).
### Final Answer:
The octal equivalent of the binary number \(101101_2\) is \(55_8\).