Conversion of decimal number 7110 to it’s binary number equivalent is A. 1100112 B. 11100112 C. 01100112 D. 10001112 E. None of the above

The correct answer is $\boxed{\text{C. }01100112}$.

To convert a decimal number to binary, you can use the following steps:

1. Divide the decimal number by 2.
2. Write down the remainder.
3. Divide the quotient by 2.
4. Write down the remainder.
5. Continue dividing and writing down the remainders until the quotient is 0.
6. Starting from the bottom, read off the remainders in reverse order.

For example, to convert 7110 to binary, we would do the following:

1. $71 \div 2 = 35 \text{ R }1$
2. $35 \div 2 = 17 \text{ R }1$
3. $17 \div 2 = 8 \text{ R }1$
4. $8 \div 2 = 4 \text{ R }0$
5. $4 \div 2 = 2 \text{ R }0$
6. $2 \div 2 = 1 \text{ R }0$
7. $1 \div 2 = 0 \text{ R }1$

The remainders in reverse order are 1, 0, 0, 1, 1, 0. Therefore, the binary equivalent of 7110 is 01100112.

Option A, 1100112, is incorrect because it does not have the correct remainders. Option B, 11100112, is incorrect because it has an extra 1 in the 4th

place. Option C, 01100112, is correct because it has the correct remainders. Option D, 10001112, is incorrect because it has an extra 1 in the 3rd place. Option E, None of the above, is incorrect because option C is the correct answer.