Question

convert the following (111000111.101)²=(?)¹⁰
its computer ​

Answer 1

Conversion:-

$\\ \tt\tiny (1\times 2^8) + (1\times 2^7) + (1\times 2^6)+ (0\times 2^5)+ (0\times 2^4) + (0\times 2^3) + (1\times 2^2) + (1 \times 2^1) + (1 \times 2^0) + (1 \times 2^{-1}) + (0\times 2^{-2}) + (1\times 2^{-3})$

$\\ \tt\tiny = 256 + 128 + 64 + 0 + 0 + 0 + 4 + 2 + 1 + 0.5 + 0 + 0.125$

$\\ \bf\large = 455.625$

Therefore The Required Answer Is 455.625