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Binary equivalent of the decimal number (11)₁₀ is:
Question

Binary equivalent of the decimal number (11)₁₀ is:

A.

1101

B.

1001

C.

1111

D.

1011

Correct option is D


To convert the decimal number 11 to its binary equivalent, we can repeatedly divide the number by 2 and record the remainders:
1. 11 ÷ 2 = 5 remainder 1
2. 5 ÷ 2 = 2 remainder 1
3. 2 ÷ 2 = 1 remainder 0
4. 1 ÷ 2 = 0 remainder 1
Now, write the remainders from bottom to top: 1011
Thus, the binary equivalent of the decimal number 11 is 1011.
Important Key Points:
1. Decimal to Binary Conversion: Divide the decimal number by 2, keep track of the remainders, and then read the remainders from bottom to top.
2. Binary Representation: Each digit in a binary number represents a power of 2, starting from the rightmost digit.

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