**Converting Decimal Numbers to Binary Numbers**

To convert decimal numbers to binary numbers, we can use a simple algorithm that involves dividing the decimal number by 2 repeatedly and noting down the remainders. Here is the step-by-step process:

**Step 1: Divide the Decimal Number by 2**
- Start by dividing the decimal number by 2.
- Note down the quotient and remainder.

**Step 2: Repeat the Division**
- Take the quotient obtained in the previous step and divide it by 2 again.
- Note down the new quotient and remainder.

**Step 3: Repeat until Quotient becomes 0**
- Repeat the division process until the quotient becomes 0.
- Each time, note down the new quotient and remainder.

**Step 4: Binary Conversion**
- The binary number is obtained by reading the remainders obtained in reverse order, starting from the last remainder obtained.

Now, let's apply this algorithm to convert the given decimal numbers to binary numbers:

**1. Decimal Number: 13**
- Divide 13 by 2: Quotient = 6, Remainder = 1
- Divide 6 by 2: Quotient = 3, Remainder = 0
- Divide 3 by 2: Quotient = 1, Remainder = 1
- Divide 1 by 2: Quotient = 0, Remainder = 1
- The binary representation of 13 is 1101.

**2. Decimal Number: 47**
- Divide 47 by 2: Quotient = 23, Remainder = 1
- Divide 23 by 2: Quotient = 11, Remainder = 1
- Divide 11 by 2: Quotient = 5, Remainder = 1
- Divide 5 by 2: Quotient = 2, Remainder = 0
- Divide 2 by 2: Quotient = 1, Remainder = 0
- Divide 1 by 2: Quotient = 0, Remainder = 1
- The binary representation of 47 is 101111.

**3. Decimal Number: 129**
- Divide 129 by 2: Quotient = 64, Remainder = 1
- Divide 64 by 2: Quotient = 32, Remainder = 0
- Divide 32 by 2: Quotient = 16, Remainder = 0
- Divide 16 by 2: Quotient = 8, Remainder = 0
- Divide 8 by 2: Quotient = 4, Remainder = 0
- Divide 4 by 2: Quotient = 2, Remainder = 0
- Divide 2 by 2: Quotient = 1, Remainder = 0
- Divide 1 by 2: Quotient = 0, Remainder = 1
- The binary representation of 129 is 10000001.

**4. Decimal Number: 250**
- Divide 250 by 2: Quotient = 125, Remainder = 0
- Divide 125 by 2: Quotient = 62, Remainder = 1
- Divide 62 by