Question

Convert the following decimal decimal numbers to binary using the division by two method described in the textbook and show your work:

96 31 32 284 100

Answer 1

96 -->1100000

31---->11111

32-->100000

284--->100011100

100-->1100100

Step-by-step explanation:

we need to consider all the remainders divided by 2 with the number

96/2---->48 Reminder(0)

48/2---->24 Reminder(0)

24/2---->12 Reminder(0)

12/2 ---->6 Reminder(0)

6/2----> 3 Reminder(0)

3/2--->1 Reminder(1)

Remaining (1)

arrange reminders from bottom to top -->1100000

31/2-->15 Remainder(1)

15/2--->7 Remainder(1)

7/2--->3 Remainder(1)

3/2--->1 Remainder(1)

Remaining 1

arrange reminders from bottom to top -->11111

32/2---->16 Remainder(0)

16/2--->8 Remainder(0)

8/2--->4 Remainder(0)

4/2--->2(Remainder 0)

2/2---->1(Remainder 0)

remaining 1

arrange reminders from bottom to top -->100000

284/2--->142 (0)

142/2--->71(0)

71/2-->35(1)

35/2--->17(1)

17/2--->8(1)

8/2--->4(0)

4/2--->2(0)

2/2--->1(0)

remaining 1

arrange reminders from bottom to top 100011100

100/2--->50(0)

50/2--->25(0)

25/2-->12(1)

12/2--->6(0)

6/2---->3(0)

3/2---->1(1)

remaining 1

arrange reminders from bottom to top 1100100