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

Created: 1 year ago | Updated: 11 months ago

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

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

$0.6 \times 2 = 1.20$

$0.2 \times 2 = 0.40$

$0.4 \times 2 = 0.80$

$0.8 \times 2 = 1.60$

$0.6 \times 2 = 1.20$

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

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

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

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

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

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

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Related Question

1. What is the CPU of computer?

2. What do you understand by software?

3. Give the difference between data and information.

4. What do you understand by VSAT?

5. What is a transformer?

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Convert 11.810 into binary number and convert 10,111.0112 into decimal equivalent.

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Related Question

1. What is the CPU of computer?

2. What do you understand by software?

3. Give the difference between data and information.

4. What do you understand by VSAT?

5. What is a transformer?

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