.Explain the wayto Perform Decimal to Binary Conversion.
To perform decimal to binary conversion, you can follow these steps:
1. Start with the given decimal number.
2. Divide the decimal number by 2 and note down the remainder.
3. Divide the quotient obtained in step 2 by 2 again and note down the remainder.
4. Repeat step 3 until the quotient becomes 0.
5. Note down all the remainders in reverse order. This will form the binary equivalent of the given decimal number.
Let's take an example to understand this process:
Suppose we want to convert the decimal number 12 to binary.
- Divide 12 by 2: Quotient = 6, Remainder = 0
- Divide 6 by 2: Quotient = 3, Remainder = 0
- Divide 3 by 2: Quotient = 1, Remainder = 1
- Divide 1 by 2: Quotient = 0, Remainder = 1
Now, note down all the remainders in reverse order: 1100
Therefore, the binary equivalent of decimal 12 is 1100.