Question

convert (10111.011) 2 into its decimal equivalent.​

Answer 1

Answer:

23.375

Explanation:

1 0 1 1 1 .0 1 1

1 x 2⁴+0 x 2³ + 1 x 2² + 1 x 2¹ + 1 x 2⁰ + 0 + 1/4 + 1/8

16+0+4+2+1+0+0.25+0.125

Ans- 23.375

Answer 2

Answer:

The answer to the given question is:

23.3751

Explanation:

To convert the binary number 10111.011, we convert the integral part and its fractional part separately, and then add them to get the decimal equivalent, like this:

Step 1: In an integral part of the binary number, multiply the units by 2^0, tens x 2^1, put hundreds by 2^2, and so on from right to left.

Step 2: In the fractional part of a binary number, multiplying the tenths by 2^-1, the percents by 2^-2, and so on from left to right is equivalent to 10111.011.

The binary number 10111. 011 is converted to decimal thus equals:

= 10111.0112

= 2310 + 0.37510

= 23.37510

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