Conversion of Mixed Decimal Numbers to Mixed Binary Numbers

Example 6: Convert the decimal number (26.012) into equivalent binary number.

Solution: We first convert 26 into binary whole number, and then (0.012)₁₀ into binary fraction.  This is done as shown in Table 1.4.

From table 1.4, we obtain the binary equivalent of decimal number 26 as 11010. Next, we consider the fractional part. This is done as shown in Table 1.5. From Table 1.5, we find that the binary equivalent of decimal fraction 0.6875 is 0.1011.

Combining the integer and fractional parts, we get

(26.6875)₁₀  = (11010.1011)₂