Page 1064 - Basic Electrical Engineering
P. 1064
−2
−1
1 × 2 + 0 × 2 + 1 × 2−3 + 1 × 2 −4
= 0.5 + 0 + 0.125 + 0.0625
= 0.6875
Example 16.5 Convert the fractional binary number 0.1101 into decimal
fraction
Solution:
The number 0.1101 is converted into decimal number as
−3
−2
−1
1 × 2 + 1 × 2 + 0 × 2 + 1 × 2 −4
= 0.5 + 0.25 + 0 + 0.625
= 0. 8125
16.2.4 Conversion of Decimal to Binary
To convert a decimal number into a binary equivalent number, the decimal
number is expressed as a sum of ascending power of 2. The positional values
of the binary number system are
Suppose we are to find the binary equivalent of the decimal number 45. The
number 45 is arrived at by adding 32 + 8 + 4 + 1. The 1S and 0S are placed
as shown
The binary number is 101101
The binary equivalent of 19 is arrived as
16 + 2 + 1
