write each decimal number as a binary number.\n1. decimal = 3\nbinary =\n2. decimal = 55\nbinary =\n3…

write each decimal number as a binary number.\n1. decimal = 3\nbinary =\n2. decimal = 55\nbinary =\n3. decimal = 607\nbinary =\n4. decimal = 486\nbinary =\n5. decimal = 582\nbinary =\n6. decimal = 606\nbinary =\n7. decimal = 623\nbinary =\n8. decimal = 441\nbinary =\n9. decimal = 1109\nbinary =\n10. decimal = 8634\nbinary =

write each decimal number as a binary number.\n1. decimal = 3\nbinary =\n2. decimal = 55\nbinary =\n3. decimal = 607\nbinary =\n4. decimal = 486\nbinary =\n5. decimal = 582\nbinary =\n6. decimal = 606\nbinary =\n7. decimal = 623\nbinary =\n8. decimal = 441\nbinary =\n9. decimal = 1109\nbinary =\n10. decimal = 8634\nbinary =

Answer

Explanation:

Step1: Divide by 2 and get remainders

For Decimal = 3: 3÷2 = 1 remainder 1 1÷2 = 0 remainder 1 Read remainders from bottom - up: 11

Step2: For Decimal = 55

55÷2 = 27 remainder 1 27÷2 = 13 remainder 1 13÷2 = 6 remainder 1 6÷2 = 3 remainder 0 3÷2 = 1 remainder 1 1÷2 = 0 remainder 1 Read remainders from bottom - up: 110111

Step3: For Decimal = 607

607÷2 = 303 remainder 1 303÷2 = 151 remainder 1 151÷2 = 75 remainder 1 75÷2 = 37 remainder 1 37÷2 = 18 remainder 1 18÷2 = 9 remainder 0 9÷2 = 4 remainder 1 4÷2 = 2 remainder 0 2÷2 = 1 remainder 0 1÷2 = 0 remainder 1 Read remainders from bottom - up: 1001011111

Step4: For Decimal = 486

486÷2 = 243 remainder 0 243÷2 = 121 remainder 1 121÷2 = 60 remainder 1 60÷2 = 30 remainder 0 30÷2 = 15 remainder 0 15÷2 = 7 remainder 1 7÷2 = 3 remainder 1 3÷2 = 1 remainder 1 1÷2 = 0 remainder 1 Read remainders from bottom - up: 111100010

Step5: For Decimal = 582

582÷2 = 291 remainder 0 291÷2 = 145 remainder 1 145÷2 = 72 remainder 1 72÷2 = 36 remainder 0 36÷2 = 18 remainder 0 18÷2 = 9 remainder 0 9÷2 = 4 remainder 1 4÷2 = 2 remainder 0 2÷2 = 1 remainder 0 1÷2 = 0 remainder 1 Read remainders from bottom - up: 1001000110

Step6: For Decimal = 606

606÷2 = 303 remainder 0 303÷2 = 151 remainder 1 151÷2 = 75 remainder 1 75÷2 = 37 remainder 1 37÷2 = 18 remainder 1 18÷2 = 9 remainder 0 9÷2 = 4 remainder 1 4÷2 = 2 remainder 0 2÷2 = 1 remainder 0 1÷2 = 0 remainder 1 Read remainders from bottom - up: 1001011110

Step7: For Decimal = 623

623÷2 = 311 remainder 1 311÷2 = 155 remainder 1 155÷2 = 77 remainder 1 77÷2 = 38 remainder 1 38÷2 = 19 remainder 0 19÷2 = 9 remainder 1 9÷2 = 4 remainder 1 4÷2 = 2 remainder 0 2÷2 = 1 remainder 0 1÷2 = 0 remainder 1 Read remainders from bottom - up: 1001101111

Step8: For Decimal = 441

441÷2 = 220 remainder 1 220÷2 = 110 remainder 0 110÷2 = 55 remainder 0 55÷2 = 27 remainder 1 27÷2 = 13 remainder 1 13÷2 = 6 remainder 1 6÷2 = 3 remainder 0 3÷2 = 1 remainder 1 1÷2 = 0 remainder 1 Read remainders from bottom - up: 110111001

Step9: For Decimal = 1109

1109÷2 = 554 remainder 1 554÷2 = 277 remainder 0 277÷2 = 138 remainder 1 138÷2 = 69 remainder 0 69÷2 = 34 remainder 1 34÷2 = 17 remainder 0 17÷2 = 8 remainder 1 8÷2 = 4 remainder 0 4÷2 = 2 remainder 0 2÷2 = 1 remainder 0 1÷2 = 0 remainder 1 Read remainders from bottom - up: 10001001101

Step10: For Decimal = 8634

8634÷2 = 4317 remainder 0 4317÷2 = 2158 remainder 1 2158÷2 = 1079 remainder 0 1079÷2 = 539 remainder 1 539÷2 = 269 remainder 1 269÷2 = 134 remainder 1 134÷2 = 67 remainder 0 67÷2 = 33 remainder 1 33÷2 = 16 remainder 1 16÷2 = 8 remainder 0 8÷2 = 4 remainder 0 4÷2 = 2 remainder 0 2÷2 = 1 remainder 0 1÷2 = 0 remainder 1 Read remainders from bottom - up: 10000111111010

Answer:

  1. 11
  2. 110111
  3. 1001011111
  4. 111100010
  5. 1001000110
  6. 1001011110
  7. 1001101111
  8. 110111001
  9. 10001001101
  10. 10000111111010