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16.2.2 Binary Number System
In the binary system a number is expressed by two symbols or digits, 0 and 1.
Since the total number of symbols or digits used is two, it has a base 2. The
binary symbols 0 and 1 are called binary digits or bits. A group of eight bits
is called a byte. In this system the positional value is used in the same way as
the decimal system. For example, two binary numbers, 11010 and 110011 are
represented as their decimal equivalent as
16.2.3 Conversion of Binary to Decimal
A binary number can be converted into its decimal equivalent number by
noting that successive digits from the extreme right of a binary number are
the coefficients of ascending power of 2 beginning with zeroeth power of 2.
A few examples will illustrate this conversion.
Example 16.1 Binary number is 1100101. Convert this number into its
decimal equivalent.
Solution:
