Question

Convert 104ten to a binary numeral

A. 1101000 B. 1010100

C. 1101100 D. 1011010
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Answer 1

To convert the decimal number 104 to binary, divide by 2 and record the remainders. Repeating this process yields the binary number 1101000, which corresponds to answer A.

Step-by-step explanation:

To convert the decimal number 104 to a binary numeral, we use the process of dividing by 2 and keeping track of the remainders. Here's the step-by-step process:

1. Divide 104 by 2. The quotient is 52 and the remainder is 0, so the least significant bit (rightmost) is 0.
2. Divide 52 by 2. The quotient is 26 and the remainder is 0, so the next bit is 0.
3. Divide 26 by 2. The quotient is 13 and the remainder is 0, so the next bit is 0.
4. Divide 13 by 2. The quotient is 6 and the remainder is 1, so the next bit is 1.
5. Divide 6 by 2. The quotient is 3 and the remainder is 0, so the next bit is 0.
6. Divide 3 by 2. The quotient is 1 and the remainder is 1, so the next bit is 1.
7. Divide 1 by 2. The quotient is 0 and the remainder is 1, so the most significant bit (leftmost) is 1 since we have now reached the end of our division.

Putting it all together, we get 1101000, which means the correct answer is: A. 1101000.

Answer 2

The answer is A. 1101000

Step-by-step explanation:

Step 1) Divide 104 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.

Step 2) Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.

Step 3) Repeat Step 2 above until the Whole part is 0.

Step 4) Write down the Remainders in reverse order to get the answer to 104 as a binary.

Here we will show our work so you can follow along:

104 / 2 = 52 with 0 remainder

52 / 2 = 26 with 0 remainder

26 / 2 = 13 with 0 remainder

13 / 2 = 6 with 1 remainder

6 / 2 = 3 with 0 remainder

3 / 2 = 1 with 1 remainder

1 / 2 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 104 converted to binary is therefore:

A. 1101000

I copied and pasted the explanation part because the way I solve it is a bit confusing to some people so, I hope this information helps.