Question

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Convert (219)10 = (?)2.​

Answer 1

Step 1: Divide (219)10 successively by 2 until the quotient is 0:

219/2 = 109, remainder is 1

109/2 = 54, remainder is 1

54/2 = 27, remainder is 0

27/2 = 13, remainder is 1

13/2 = 6, remainder is 1

6/2 = 3, remainder is 0

3/2 = 1, remainder is 1

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 11011011. This is the binary equivalent of decimal number 219 (Answer).

Explanation:

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