Question

255 decimal to binary conversion

( computer science class 11 python Sumita Arora )​

Answer 1

(255)10 = (11111111)2

Step by step solution

Step 1: Divide (255)10 successively by 2 until the quotient is 0:

255/2 = 127, remainder is 1

127/2 = 63, remainder is 1

63/2 = 31, remainder is 1

31/2 = 15, remainder is 1

15/2 = 7, remainder is 1

7/2 = 3, remainder is 1

3/2 = 1, remainder is 1

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 11111111.

So, 11111111 is the binary equivalent of decimal number 255 (Answer).

Answer 2

Explanation:

In binary, it's all 1's and 0's. So, the step before 256 is all 1's. Therefore, 255 in binary is 11111111