WAEC Computer Studies 2019 Paper

Concept:A hexadecimal number can be converted to binary by first converting it to decimal, then converting that decimal value to base 2.Explanation:Write $13_{16}$ in expanded decimal form.$13_{16} = 1 \times 16^1 + 3 \times 16^0 = 16 + 3 = 19_{10}$.Now convert $19_{10}$ to binary using repeated division by 2.$19 \div 2 = 9$ remainder $1$$9 \div 2 = 4$ remainder $1$$4 \div 2 = 2$ remainder $0$$2 \div 2 = 1$ remainder $0$$1 \div 2 = 0$ remainder $1$Reading the remainders from bottom to top gives $10011_2$.As an 8-bit binary number, this is written as $00010011_2$.Answer:Option A: $00010011$.