Question

66. द्वि-आधारी संख्या 101110 का तुल्य दशमलव मान क्या है ?

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Answer 1

SOLUTION

TO DETERMINE

The decimal equivalent of the binary number 101110

EVALUATION

Here the given binary number is 101110

We express it in decimal as below

$\sf{101110}$

$\sf{ = (1 \times {2}^{5})+ (0 \times {2}^{4})+ (1\times {2}^{3}) + (1 \times {2}^{2})+ (1 \times {2}^{1})+ (0 \times {2}^{0)} }$

$\sf{ = (1 \times 32)+ (0 \times 16)+ (1\times 8) + (1 \times 4)+ (1 \times 2)+ (0 \times 1) }$

$\sf{ = 32 + 0 + 8 + 4 + 2 + 0}$

$\sf{ = 46}$

FINAL ANSWER

The decimal equivalent of the binary number 101110 = 46

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