Exam 200-150 topic 1 question 28 discussion

1263 to binary: You're working in binary, so you can lay out a chart like this: 1024 512 256 128 64 32 16 8 4 2 1 Now, start with the largest number that can go into 1263: 1263 -1024 --------- 239 Keep repeating this process, and place a "1" under each number you subtract from the remainder each time. So, right now you should have a 1 under 1024: 1024 512 256 128 64 32 16 8 4 2 1 1 0 0 1 Neither 512 nore 256 can go into 239, so we place a 0 under each number (above): 128 CAN go into 239, so we put a 1 under 128 and subtract it from 239: 239 -128 ------ 111 And 64 and 32 will go into the remainder, so we put 1's under those numbers as well: 111 - 64 ----- 47 47 -32 ----- 15 1024 512 256 128 64 32 16 8 4 2 1 1 0 0 1 1 1 0 1 1 1 1 We keep doing this process and end up with the binary number: 10011101 1 1 1