4,152+2,678-_________+2,678
Answers
Answer:
4,152 is the correct answer
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