Question

convert (10101)¹⁰ to binary number​

Answer 1

Answer:

(10011101110101)_2

Explanation:

Divide (10101)10 successively by 2 until the quotient is 0:

10101/2 = 5050, remainder is 1

5050/2 = 2525, remainder is 0

2525/2 = 1262, remainder is 1

1262/2 = 631, remainder is 0

631/2 = 315, remainder is 1

315/2 = 157, remainder is 1

157/2 = 78, remainder is 1

78/2 = 39, remainder is 0

39/2 = 19, remainder is 1

19/2 = 9, remainder is 1

9/2 = 4, remainder is 1

4/2 = 2, remainder is 0

2/2 = 1, remainder is 0

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 10011101110101.

So, 10011101110101 is the binary equivalent of decimal number 10101.

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