Solve the following mathematical problems with sufficient calculations.

Convert ${11.8}_{10}$ into binary number and convert ${10,111.011}_{2}$ into decimal equivalent.

Created: 1 year ago | Updated: 1 year ago

Updated: 1 year ago

$11.8 11 5 - 1 2 - 1 1 - 0 0 - 1 {(11)}_{10} = {(1011)}_{2} 2 2 2 2 2$

$a g a i n, 0.8 \times 2 = 1.60$

$0.6 \times 2 = 1.20$

$0.2 \times 2 = 0.40$

$0.4 \times 2 = 0.80$

$0.8 \times 2 = 1.60$

$0.6 \times 2 = 1.20$

${(0.8)}_{10} = 1100110011 . . . . .$

$∴ {(11.8)}_{10} = {(1011.1100110011 . . . . . . . .)}_{2}$

$2^{n d} p a r t {(10111.011)}_{2}$

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

$= 16 + 0 + 4 + 2 + 1 + 0 + \frac{1}{4} + \frac{1}{8} = 23 + \frac{3}{8} = 23.375$

1 year ago

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Investment Corporation of Bangladesh || Capital Management (AP) (02-03-2019) তথ্য প্রযুক্তি

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Convert ${11.8}_{10}$ into binary number and convert ${10,111.011}_{2}$ into decimal equivalent.

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Convert ${11.8}_{10}$ into binary number and convert ${10,111.011}_{2}$ into decimal equivalent.