Question

What is the octal number 6247 converted to binary numbers?

Answer 1

To convert the octal number \( 6247 \) to binary, follow these steps:

1. **Convert each octal digit to its 3-bit binary equivalent:**

   - **6 in octal**: \( 110 \) in binary
   - **2 in octal**: \( 010 \) in binary
   - **4 in octal**: \( 100 \) in binary
   - **7 in octal**: \( 111 \) in binary

2. **Combine these binary representations:**

   - **6**: \( 110 \)
   - **2**: \( 010 \)
   - **4**: \( 100 \)
   - **7**: \( 111 \)

   So, \( 6247 \) in octal is \( 110 \, 010 \, 100 \, 111 \) in binary.

   Combining these, we get:

   \[
   6247_{8} = 110010100111_{2}
   \]

So, the octal number \( 6247 \) converts to the binary number \( 110010100111 \).

Answer 2

To convert the octal number 6247 to binary, follow these steps:

1. Convert each octal digit to its 3-bit binary equivalent:
   - 6 in octal is 110 in binary.
   - 2 in octal is 010 in binary.
   - 4 in octal is 100 in binary.
   - 7 in octal is 111 in binary.

2. Combine the binary representations:
   - 6247 (octal) = 110 010 100 111 (binary).

So, the binary equivalent of the octal number 6247 is `110010100111`.