255 2

0
(0)

(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).

 

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