Question

Convert the following decimal numbers into binary numbers
1. 465
2. 589
please explain step by step ​

Answer 1

Answer:

Step 1) Divide 465 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 465 as a binary.

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

465 / 2 = 232 with 1 remainder

232 / 2 = 116 with 0 remainder

116 / 2 = 58 with 0 remainder

58 / 2 = 29 with 0 remainder

29 / 2 = 14 with 1 remainder

14 / 2 = 7 with 0 remainder

7 / 2 = 3 with 1 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 465 converted to binary is therefore:

Explanation:

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