Question

write each decimal number as a binary number.

1. decimal = 3

binary =

1. decimal = 55

binary =

1. decimal = 607

binary =

1. decimal = 486

binary =

1. decimal = 582

binary =

1. decimal = 606

binary =

1. decimal = 623

binary =

1. decimal = 441

binary =

1. decimal = 1109

binary =

1. decimal = 8634

binary =

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