Question

Write each of the following decimal values in binary. (Can please show me how you did arithmetic you to perform the conversion.)

47
14
81
102
241

Answer 1

47 → 101111

14 → 1110

81 → 1010001

102 → 1100110

241 → 11110001

Step-by-step explanation:

There are two ways to calculate binary equivalent of decimal values:

1. Divide the number by 2 as in the image, keep the reminder to right. then divide the divisor by 2 and keep the reminder to right and so on. Then read the reminders from top to bottom.
2. Or you can start putting 1 at the nearest power of 2 that is smaller than decimal integer, then subtract that value from the decimal integer. Again put 1 at nearest power of 2 and so on.

e.g.

For 102, we put 1 at 64. than 102
`-`64 = 38

then put 1 at 32, now 38
`-` 32 = 6.

then put 1 at 4, now 6
`-` 4 = 2.

then put 1 at 2, now 2
`-`2 = 0.

so put 0 at 1 and all other places except those where we put 1.