Question

4,152+2,678-_________+2,678​

Answer 1

Answer:

4,152 is the correct answer

Answer 2

Step 1) Divide 2678 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 2678 as a binary.

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

2678 / 2 = 1339 with 0 remainder

1339 / 2 = 669 with 1 remainder

669 / 2 = 334 with 1 remainder

334 / 2 = 167 with 0 remainder

167 / 2 = 83 with 1 remainder

83 / 2 = 41 with 1 remainder

41 / 2 = 20 with 1 remainder

20 / 2 = 10 with 0 remainder

10 / 2 = 5 with 0 remainder

5 / 2 = 2 with 1 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 2678 converted to binary is therefore:

101001110110