Convert decimal number 26.85 into binary equivalent.
11010.110110
To convert the decimal number 26.85 into its binary equivalent, follow these steps:
26 ÷ 2 = 13 remainder 0
13 ÷ 2 = 6 remainder 1
6 ÷ 2 = 3 remainder 0
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
Writing in reverse order gives: 11010
0.85 x 2 = 1.70 → Integer part = 1 (Fractional part = 0.70)
0.70 x 2 = 1.40 → Integer part = 1 (Fractional part = 0.40)
0.40 x 2 = 0.80 → Integer part = 0 (Fractional part = 0.80)
0.80 x 2 = 1.60 → Integer part = 1 (Fractional part = 0.60)
0.60 x 2 = 1.20 → Integer part = 1 (Fractional part = 0.20)
0.20 x 2 = 0.40 → Integer part = 0 (Fractional part = 0.40)
The binary fractional part stops at (0.40)∞, giving 110110 with desired precision.
Therefore, the binary equivalent of the decimal number 26.85 is 11010.110110.
The correct answer is 11010.110110.
Given below are two statements
Statement I: The base of the binary number system is 2.
Statement II: Binary addition is just like decimal addition except that the rules are much simpler.
In light of the above statements, choose the correct answer from the options given below
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