100 base 10 to base 2

Answer: 1100100

Step-by-step explanation:

In base 2, the highest digit is 2 likewise in base 10, the highest digit is 9.

To convert 100 in base 10 to base 2, we would take the following steps

First step, is to divide the number to be converted by 2. The remainder forms the last digit of the number in base 2 while the quotient is divided again to get a new quotient and remainder. The new remainder forms the next digit to the left of the last digit. It continues till it gets to zero. Therefore,

100/2 = 50 remainder 0 (last digit)

50/2 = 25 remainder 0 (next digit to the left of the last).

25/2 = 12 remainder 1 (next digit to the left)

12/2 = 6 remainder 0 (next digit to the left)

6/2 = 3 remainder 0 (next digit to the left)

3/2 = 1 remainder 1 (next digit to the left)

1/2 = 0 remainder 1 (next and final digit to the left)

Therefore, 100 in base 10 to base 2 is

1100100

1100100 base 2

Step-by-step explanation:

- R means Remainder

100/2 = 50 R 0

50/2 = 25 R 0

25/2 = 12 R 1

12/2 = 6 R 0

6/2 = 3 R 0

3/2 = 1 R 1

1/2 = 0 R 1

100 base 10 = 1100100 base 2