Question

How to convert 11001 binary to octal?

Answer 1

To convert a binary number (11001 in this case) to octal, follow these steps:

### Step 1: Group the binary digits in sets of three, starting from the right.

If the number of digits is not a multiple of 3, add leading zeros to make it a multiple of 3.

11001 → 011 001

### Step 2: Convert each group of 3 binary digits to its octal equivalent.

- 011 (binary) = 3 (octal)
- 001 (binary) = 1 (octal)

### Step 3: Write down the octal number by combining the octal values of each group.

So, 11001 (binary) = **31** (octal).

Thus, the binary number 11001 is equivalent to octal 31.

Answer 2

To convert the binary number \(11001\) to octal, you can follow these steps:

### Step 1: Group the Binary Digits

1. **Start from the right:** Group the binary digits into sets of three. If necessary, pad the leftmost group with zeros to make it a complete set of three.
   
   For \(11001\):
   - Start grouping from the right: \(1\ 1001\).
   - Pad the leftmost group: \(011\ 001\).

2. **Group them as:** \(011\ 001\).

### Step 2: Convert Each Group to Decimal

1. Convert each 3-bit binary group to its octal (decimal) equivalent:

   - **011**: This is \(3\) in decimal.
   - **001**: This is \(1\) in decimal.

### Step 3: Write Down the Octal Digits

1. Write the octal digits obtained from each group in the same order.

   - For \(011\) → \(3\)
   - For \(001\) → \(1\)

2. Combine them to get the final octal number.

### Result

The binary number \(11001\) converts to the octal number \(31\).