Question

Arrange the given binary numbers in increasing order of their decimal equivalent. 110111 101101 110010 111110 ​

Answer 1

Answer:

101101 <  110010<110111 <111110

Explanation:

We will convert binary number to their decimal equivalent

110111  - (1 × 2⁵) + (1 × 2⁴) + (0 × 2³) + (1 × 2²) + (1 × 2¹) + (1 × 2⁰) = (55)₁₀

101101 - (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (1 × 2²) + (0 × 2¹) + (1 × 2⁰) = (45)₁₀

110010 - (1 × 2⁵) + (1 × 2⁴) + (0 × 2³) + (0 × 2²) + (1 × 2¹) + (0 × 2⁰) = (50)₁₀

111110 - (1 × 2⁵) + (1 × 2⁴) + (1 × 2³) + (1 × 2²) + (1 × 2¹) + (0 × 2⁰) = (62)₁₀

Now, arranging the given binary numbers in increasing order of their decimal equivalent , we get -

101101 <  110010<110111 <111110