Question

What is the decimal equivalent of the binary number 111010?​

Answer 1

To convert the binary number 111010 to decimal, multiply each binary digit by the corresponding power of 2 and sum the values: 32 + 16 + 8 + 0 + 2 + 0 = 58. The decimal equivalent is 58.

Step-by-step explanation:

The question is asking to find the decimal equivalent of the binary number 111010. To convert a binary number to its decimal equivalent, we can use the concept of powers of two. Each digit in a binary number represents an increasing power of 2, starting from the rightmost digit. For instance, the rightmost digit represents 20, the next one represents 21, and so on. We can then multiply each binary digit by its corresponding power of 2 and add all the products together to get the decimal equivalent of the binary number.

To convert 111010 binary to decimal:

• 
  
• Start with the rightmost digit: 0 × 20 = 0
• 
  
• Next digit: 1 × 21 = 2
• 
  
• Continue onwards: 0 × 22 = 0
• 
  
• 1 × 23 = 8
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• 1 × 24 = 16
• 
  
• 1 × 25 = 32

Adding all these products together: 0 + 2 + 0 + 8 + 16 + 32 = 58. Therefore, the decimal equivalent of the binary number 111010 is 58.

Answer 2

23

Step-by-step explanation:

You have 6 numbers

So starting at 2^0, we write out 6 of those to get a benchmark. Well also solve them for now. To the left, we put your numbers, which are 111010

1: 2^0 = 1

1: 2^1 = 2

1: 2^2 = 4

0: 2^3 = 8

1: 2^4 = 16

0: 2^5 = 32

^ Everywhere there's a one, we use the number, everywhere there's a 0, we throw that out. Theres a 1 next to the first, second, third, and fifth numbers. Taking those numbers, we add them

1 + 2 + 4 + 16

Which equals 23, your decimal equivalent