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Decimal number 15 is equivalent to the binary number:
A. 110001
B. 000101
C. 101101
D. 001111

Answer
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Hint:We will solve step by step to convert the decimal number 15 into the binary number. As we know that, in the decimal number we use 10 digits and in the binary number we use only 2 digits. Therefore, we will divide the decimal number by 2 to convert it into the binary number. Here, the quotient obtained by dividing the number will consist of two parts, that is, the whole part and the fractional part which is also known as remainder. Here, we will keep the fractional part aside and the whole part will be used for another step.

Complete step by step answer:
The steps used to convert the decimal number 15 into the binary digit is given below.
1. Firstly, we will divide 15 by 2 to get the quotient. Here, we will keep the whole part of the quotient for the next step and set the remainder aside as shown below
15÷2=7 with the remainder 1
2. Now, we will divide 7 by 2 to get the quotient as shown below
7÷2=3 with the remainder 1
3. Now, we will divide 3 by 2 to get the quotient, as shown below
3÷2=1 with the remainder 1
4. Now, we divide 1 by 2 to get the quotient, as shown below
1÷2=0 with the remainder 1
Now, we will combine the remainders obtained in the reverse order to get the answer.Therefore, the decimal number 15 is equivalent to the binary number is 001111.

Hence, option D is the correct answer.

Note:Here you might think that the answer obtained was 1111 but the answer we have provided is 001111. This is because it is because it is said that if the answer obtained will be four digits then we will add two zero in the first place of the digit obtained. That is why we have got the answer as 001111.
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