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.
Binary Numbers Bbdcbc
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