Question

Question : 11111012 = ?10​

Answer 1

SOLUTION

TO CONVERT

Binary to decimal :

$\sf{ (1111101)_{2} = (- - - - )_{10}}$

EVALUATION

$\sf{ (1111101)_{2}}$

$\sf{ = \sf{ 1 \times {2}^{6} + 1 \times {2}^{5} + 1 \times {2}^{4} + 1 \times {2}^{3} + 1 \times {2}^{2} + 0 \times {2}^{1} + 1 \times {2}^{0} }}$

$\sf{ = 64 + 32 + 16 + 8 + 4 + 0 + 1}$

$= 125$

FINAL ANSWER

$\sf{ (1111101)_{2} = (125)_{10}}$

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Answer 2

$\textbf{Given:}$

$\mathsf{{1111101}_2}$

$\textbf{To find:}$

$\textsf{Equivalent decimal number}$

$\textbf{Solution:}$

$\textsf{Consider,}$

$\mathsf{{1111101}_2}$

$\left\begin{array}{|c|c|c|c|}\cline{1-4}1&2^0&1&1\\0&2^1&2&0\\1&2^2&4&4\\1&2^3&8&8\\1&2^4&16&16\\1&2^5&32&32\\1&2^6&64&64\\\cline{1-4}&&&125\\\cline{1-4}\end{array}\right$

$\textbf{Answer:}$

$\textsf{Equaivalent decimal number is 125}$