Convert the binary number 10010 to decimal.

Convert the binary number 10010 to decimal.

• A. 2
• B. 8
• C. 18
• D. 22

Answer: (C)

Binary numbers are read by summing powers of two for every position that has a 1. Each digit represents a power of two, starting from the rightmost as 2^0. In 10010, the 1s are at the 2^4 position (16) and the 2^1 position (2). Adding those gives 16 + 2 = 18. So the decimal value is 18. The other options don’t match this bit pattern; they would come from different placements of 1s in the binary number.

Binary numbers are read by summing powers of two for every position that has a 1. Each digit represents a power of two, starting from the rightmost as 2^0.

In 10010, the 1s are at the 2^4 position (16) and the 2^1 position (2). Adding those gives 16 + 2 = 18. So the decimal value is 18. The other options don’t match this bit pattern; they would come from different placements of 1s in the binary number.