An 8-bit unsigned integer is represented by the binary 11001010. What decimal value does this binary correspond to?

An 8-bit unsigned integer is represented by the binary 11001010. What decimal value does this binary correspond to?

• A. 154
• B. 202
• C. 178
• D. 210

Answer: (B)

Binary to decimal conversion for unsigned numbers uses the sum of the weights where a 1 appears. In an 8-bit byte, the weights from left to right are 128, 64, 32, 16, 8, 4, 2, 1. The binary 11001010 has 1s in the 128, 64, 8, and 2 positions. Add them up: 128 + 64 + 8 + 2 = 202. Since it’s unsigned, there’s no sign bit to consider, so the decimal value is 202.

Binary to decimal conversion for unsigned numbers uses the sum of the weights where a 1 appears. In an 8-bit byte, the weights from left to right are 128, 64, 32, 16, 8, 4, 2, 1. The binary 11001010 has 1s in the 128, 64, 8, and 2 positions. Add them up: 128 + 64 + 8 + 2 = 202. Since it’s unsigned, there’s no sign bit to consider, so the decimal value is 202.