Question

How to convert 1010 binary to octal?

Answer 1

To convert the binary number 1010 to octal, first group the binary digits into sets of three, starting from the right. Since 1010 has four digits, you can add leading zeros to make it a complete group of three: 001 010.

Next, convert each group to its octal equivalent:

- 001 in binary is 1 in octal.
- 010 in binary is 2 in octal.

Now, combine the octal digits. Therefore, the binary number 1010 converts to the octal number 12.

Answer 2

To convert a binary number to an octal number, you can follow a straightforward process that involves grouping the binary digits (bits) into sets of three, starting from the right. Each group of three bits is then converted to its corresponding octal value.

Here’s a step-by-step guide to converting the binary number **1010** to octal:

### Step 1: Write Down the Binary Number
The binary number given is **1010**.

### Step 2: Group the Binary Digits into Sets of Three
Starting from the right, group the binary digits into sets of three. If the number of binary digits is not a multiple of three, add leading zeros to make it so.

For **1010**, we add two leading zeros to make it a group of three:
```
Binary:  001 010
```

### Step 3: Convert Each Group of Three Binary Digits to Octal
Now, convert each group of three binary digits to its equivalent octal digit. Here’s the binary-to-octal conversion for each group:

- **001** in binary is **1** in octal.
- **010** in binary is **2** in octal.

### Step 4: Write the Octal Number
Combine the octal digits from each group to form the final octal number.

So, **1010** in binary converts to **12** in octal.

### Summary
The binary number **1010** is **12** in octal.