Question

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Answer (Detailed Solution Below)

Option 3 : 107 / 107

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Detailed Solution

सही उत्तर 107 / 107 है।

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Question:

The decimal equivalent of the binary number $(1101011)_2$ is / द्विआधारी संख्या $(1101011)_2$ का दशमलव तुल्यांक है

1.
103 / 103
2.
111 / 111
3.
107 / 107
4.
115 / 115

Correct Answer: 107 / 107

Expanding by positional weights: $1 \times 2^6 + 1 \times 2^5 + 0 \times 2^4 + 1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 1 \times 2^0 = 64 + 32 + 8 + 2 + 1 = 107$. / स्थितीय भारों से विस्तार: $1 \times 2^6 + 1 \times 2^5 + 0 \times 2^4 + 1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 1 \times 2^0 = 64 + 32 + 8 + 2 + 1 = 107$।

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