What is the decimal equivalent of the binary number 101010?

To determine the decimal equivalent of the binary number 101010, it's important to understand how binary numbers are structured. Each digit in a binary number represents a power of 2, starting from the rightmost digit, which is (2^0).

In the binary number 101010, we can break it down as follows:

• The rightmost digit is 0, which represents (0 \times 2^0 = 0).
• The next digit to the left is 1, representing (1 \times 2^1 = 2).
• The next is 0, which is (0 \times 2^2 = 0).
• The fourth digit is 1, so that’s (1 \times 2^3 = 8).
• The fifth digit is 0, which gives us (0 \times 2^4 = 0).
• The leftmost digit is 1, which represents (1 \times 2^5 = 32).

Now, if we sum these values up we get:

[ 0 + 2 + 0 + 8 + 0 + 32 = 42. ]

Thus, the