Subjects computer science

Binary Numbers Bbdcbc

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1. The problem is to understand and work with binary numbers, which are numbers expressed in base 2. 2. Binary numbers use only two digits: 0 and 1. Each digit represents a power of 2, starting from the rightmost digit which is $2^0$. 3. To convert a binary number to decimal, multiply each binary digit by its corresponding power of 2 and sum all the results. 4. For example, convert binary number $1011_2$ to decimal: $$1011_2 = 1\times2^3 + 0\times2^2 + 1\times2^1 + 1\times2^0$$ 5. Calculate each term: $$= 1\times8 + 0\times4 + 1\times2 + 1\times1 = 8 + 0 + 2 + 1$$ 6. Sum the values: $$8 + 0 + 2 + 1 = 11$$ 7. Therefore, binary $1011_2$ equals decimal 11. This method applies to any binary number to convert it to decimal.