SOLUTION:Step 1: We must continuously divide the given number in decimal by 2 to convert it to binary.138 ÷ 2 = 69 r. 069 ÷ 2 = 34 r. 134 ÷ 2 = 17 r. 017 ÷ 2 = 8 r. 18 ÷ 2 = 4 r. 04 ÷ 2 = 2 r. 02 ÷ 2 = 1 r. 01 ÷ 2 = 0 r. 1Step 2: Write the remainders in a horizontal manner (from left to right) starting from the bottommost remainder up to the topmost remainder.138₁₀ = 10001010₂Hence, 138 in decimal is 10001010 in binary.