Page 1063 - Basic Electrical Engineering
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64 + 32 + 0 + 0 + 4 + 0 + 1 = 101
Decimal number is 101. Therefore, (1100101) = (101) 10
2
Example 16.2 Binary number is 11010. Convert this number into its
decimal equivalent.
Solution:
16 + 8 + 0 + 2 + 0 = 26
Decimal number is 26. Therefore, (11010) = (26) 10
2
Example 16.3 Binary number is 101101. Convert this number into its
decimal equivalent.
Solution:
32 + 0 + 8 + 4 + 0 + 1 = 45
Therefore, (101101) = (45) 10
2
Fractional binary number to fractional decimal number
The decimal equivalent of a binary fraction is determined by multiplying
–2
–1
–3
–4
each digit in the fraction by 2 , 2 2 , 2 , … etc., beginning with the first
digit after the binary point. The products are then added to get the decimal
fraction. A few examples will illustrate this procedure
Example 16.4 Convert the fractional binary number 0.1011 into decimal
fraction.
Solution:
The number 0.1011 is converted into decimal number as
