In binary notation, what is the decimal equivalent of 41?

To determine the decimal equivalent of the binary number that corresponds to 41, we need to consider how binary numbers are constructed. Each digit in a binary number represents a power of 2, starting from the rightmost digit which represents (2^0), then moving leftwards to (2^1), (2^2), and so forth.

The binary number for 41 is 101001, which can be understood as follows:

• The rightmost bit is (1), which is (2^0 = 1).

• The second bit from the right is (0), which is (0 \times 2^1 = 0).

• The third bit is (0), which is (0 \times 2^2 = 0).

• The fourth bit is (1), which is (1 \times 2^3 = 8).

• The fifth bit is (0), which is (0 \times 2^4 = 0).

• The leftmost bit is (1), which is (1 \times 2^5 = 32).

Now, when we add these values together, we get:

(32