Convert the following binary number to decimal (010111)2?a)2310b)3510c)1510d)2010Correct answer is option 'A'. Can you explain this answer?

Question

Answer

Answer

To do this, at first translate it to decimal here so:
(010111)₂ = 0∙2⁵+1∙2⁴+0∙2³+1∙2²+1∙2¹+1∙2⁰ = 0+16+0+4+2+1 = 23₁₀

Result of converting:
(010111)₂ = 23₁₀

Answer

L don't know if the  answer

Answer

To convert a binary number to decimal, each digit of the binary number is multiplied by a power of 2 and then summed up. Let's break down the conversion process step by step.

Step 1: Identify the place value of each digit
In the given binary number (010111)2, each digit represents a specific place value starting from right to left. The rightmost digit represents the 2^0 place value, the next digit represents the 2^1 place value, the next digit represents the 2^2 place value, and so on.

Step 2: Multiply each digit by its corresponding power of 2
Now, multiply each digit of the binary number by its corresponding power of 2. In this case, we have:
(0 * 2^0) + (1 * 2^1) + (0 * 2^2) + (1 * 2^3) + (1 * 2^4) + (1 * 2^5)

Simplifying the above expression, we get:
0 + 2 + 0 + 8 + 16 + 32

Step 3: Sum up the results
Finally, add up the results from the previous step to obtain the decimal equivalent:
0 + 2 + 0 + 8 + 16 + 32 = 58

Therefore, the decimal equivalent of the binary number (010111)2 is 58.

Now, let's look at the given options:

a) 23: This is not the correct answer as it does not match the decimal equivalent we calculated.
b) 35: This is not the correct answer as it does not match the decimal equivalent we calculated.
c) 15: This is not the correct answer as it does not match the decimal equivalent we calculated.
d) 20: This is not the correct answer as it does not match the decimal equivalent we calculated.

Hence, the correct answer is option 'a': 58.

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