Question

convert the following decimal number into binary numbers 415
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Answer 1

Answer:

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convert the following decimal number into binary numbers 415

Solution:

Step 1) Divide 415 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 415 as a binary.

415 / 2 = 207 with 1 remainder

207 / 2 = 103 with 1 remainder

103 / 2 = 51 with 1 remainder

51 / 2 = 25 with 1 remainder

25 / 2 = 12 with 1 remainder

12 / 2 = 6 with 0 remainder

6 / 2 = 3 with 0 remainder

3 / 2 = 1 with 1 remainder

1 / 2 = 0 with 1 remainder

The decimal number 415 converted to binary is therefore:

110011111

Answer 2

Answer:

110011111

Explanation:

2 415

2 207 1

2 103 1

2 51 1

2 25 1

2 12 1

2 6 0

2 3 0

2 1 1

0 1