Exciting Binary Addition and Conversion!

What is the result of adding binary 00001011 to binary 00101111?

Don't forget to convert the answer to decimal!

Answer:

The result of adding binary 00001011 to binary 00101111 is 01011010.

When converted to decimal, the answer is 90.

Do you want to learn how to add binary numbers and convert them to decimal? Let's dive in!

Adding binary numbers involves a similar process to adding decimal numbers. We start from the rightmost bit (the least significant bit) and work our way to the left, carrying any "extra" when necessary.

For the given binary numbers 00001011 and 00101111:

      00001011
    + 00101111
    ----------
      01011010
    

To convert the binary sum 01011010 to decimal, we multiply each bit by the corresponding power of 2 and sum them up:

    0*2^7 + 1*2^6 + 0*2^5 + 1*2^4 + 1*2^3 + 0*2^2 + 1*2^1 + 0*2^0
    = 0 + 64 + 0 + 16 + 8 + 0 + 2 + 0
    = 90
    

Hence, the binary sum of 00001011 and 00101111, when converted to decimal, is 90. Isn't binary addition fascinating?