Decimal number `15` is equivalent to the binary number :

Options

A. `110001`
B. `000101`
C. `101101`
D. `001111`

Explanation

To convert the decimal number 15 to its binary equivalent, we can follow these steps:

### Step 1: Divide the number by 2
1. Start with the decimal number 15.
2. Divide 15 by 2.
- Quotient: 7
- Remainder: 1
- Write this down: 15 ÷ 2 = 7 R1

### Step 2: Repeat the process with the quotient
3. Now take the quotient (7) and divide it by 2.
- Quotient: 3
- Remainder: 1
- Write this down: 7 ÷ 2 = 3 R1

4. Next, take the new quotient (3) and divide it by 2.
- Quotient: 1
- Remainder: 1
- Write this down: 3 ÷ 2 = 1 R1

5. Finally, take the last quotient (1) and divide it by 2.
- Quotient: 0
- Remainder: 1
- Write this down: 1 ÷ 2 = 0 R1

### Step 3: Collect the remainders
6. Now we have the remainders from each step:
- From 15: R1
- From 7: R1
- From 3: R1
- From 1: R1

### Step 4: Write the binary number
7. Write the remainders in reverse order (from last to first):
- The remainders are: 1, 1, 1, 1
- So, the binary equivalent of decimal 15 is **1111**.

### Final Answer
The decimal number 15 is equivalent to the binary number **1111**.

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