Question

What is the octal number 345 to binary?

Answer 1

To convert the octal number 345 to binary, follow these steps:

1. **Understand the Octal System:**
   - Octal is a base-8 numbering system. It uses digits from 0 to 7.

2. **Convert Each Octal Digit to Binary:**
   - Each octal digit can be represented by a 3-bit binary number. This is because \( 2^3 = 8 \), so 3 bits are sufficient to represent any digit from 0 to 7.

   Here are the binary equivalents of each octal digit:
   - 0 = 000
   - 1 = 001
   - 2 = 010
   - 3 = 011
   - 4 = 100
   - 5 = 101
   - 6 = 110
   - 7 = 111

3. **Convert the Octal Number 345 to Binary:**
   - Break down the octal number 345 into its individual digits: 3, 4, and 5.
   - Convert each digit to binary:
     - 3 in binary is 011
     - 4 in binary is 100
     - 5 in binary is 101

4. **Combine the Binary Representations:**
   - Combine the binary representations of each digit to get the final result:
     - The binary representation of the octal number 345 is 011 100 101.

   For clarity, you can omit the spaces and write the result as a single binary number:
   - 345 (octal) = 011100101 (binary).

So, the octal number 345 converts to the binary number 011100101.

Answer 2

To convert the octal number 345 to binary, we can convert each digit of the octal number to its corresponding 3-bit binary equivalent:

1. **3 in octal** is **011** in binary.
2. **4 in octal** is **100** in binary.
3. **5 in octal** is **101** in binary.

So, the octal number **345** is equal to the binary number **011 100 101**.

Therefore, the binary equivalent of the octal number **345** is **011100101**.