Question

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Answer 1

Answer:

The binary for 2369 is 100101000001

Explanation:

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Answer 2

Answer:

100101000001

Explanation:

Step 1) Divide 2369 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 2369 as a binary.

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

2369 / 2 = 1184 with 1 remainder

1184 / 2 = 592 with 0 remainder

592 / 2 = 296 with 0 remainder

296 / 2 = 148 with 0 remainder

148 / 2 = 74 with 0 remainder

74 / 2 = 37 with 0 remainder

37 / 2 = 18 with 1 remainder

18 / 2 = 9 with 0 remainder

9 / 2 = 4 with 1 remainder

4 / 2 = 2 with 0 remainder

2 / 2 = 1 with 0 remainder

1 / 2 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 2369 converted to binary is therefore:

100101000001