Question

which of these lists correctly orders the binary numbers from smallest to largest? choose 1 answer: a 1010, 0110, 0101, 0011 b 0011, 0110, 0101, 1010 c 1010, 0101, 0110, 0011 d 0011, 0101, 0110, 1010

Explanation:

Step1: Convert binary to decimal

• \(0011_2 = 0\times2^3 + 0\times2^2 + 1\times2^1 + 1\times2^0 = 3\)
• \(0101_2 = 0\times2^3 + 1\times2^2 + 0\times2^1 + 1\times2^0 = 5\)
• \(0110_2 = 0\times2^3 + 1\times2^2 + 1\times2^1 + 0\times2^0 = 6\)
• \(1010_2 = 1\times2^3 + 0\times2^2 + 1\times2^1 + 0\times2^0 = 10\)

Step2: Order decimals from smallest to largest

Decimals: \(3, 5, 6, 10\) → Corresponding binary: \(0011, 0101, 0110, 1010\)

Answer:

D. 0011, 0101, 0110, 1010