To convert the binary number 101001 to its decimal equivalent:

• The binary number 101001 can be broken down as:

  1×25+0×24+1×23+0×22+0×21+1×201 \times 2^5 + 0 \times 2^4 + 1 \times 2^3 + 0 \times 2^2 + 0 \times 2^1 + 1 \times 2^0

• This simplifies to:

  1×32+0×16+1×8+0×4+0×2+1×1=32+8+1=411 \times 32 + 0 \times 16 + 1 \times 8 + 0 \times 4 + 0 \times 2 + 1 \times 1 = 32 + 8 + 1 = 41

So, the decimal value of the binary number 101001 is 41.

The correct answer is:

(B) 41.