Question

convert decimal number into binary number (1020)10​

Answer 1

Answer:

(1020)10 = (1111111100)2

Explanation:

Step 1: Divide (1020)10 successively by 2 until the quotient is 0:

1020/2 = 510, remainder is 0

510/2 = 255, remainder 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 1111111100.

So, 1111111100 is the binary equivalent of decimal number 1020 (Answer).

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