Explanation

Convert the binary to base 10 and they convert back to base two 10011₂ + xxxxx₂ + 11100₂ + 101₂ = 1001111₂ (1 × 2⁴ + 0 × 2³ + 1 × 2² + 1 × 21 + 1 × 2⁰) + xxxxx2 +(1 × 2⁴ + 1 × 2³ + 1 × 2² + 0 × 2² + 0 × 2⁰) + (1 × 2² + 0 × 2¹ + 1 × 2⁰) = (16 + 0 + 0 + 2 + 1) + xxxxx2 + (16 + 8 + 4 + 0 + 0 ) + (4 + 0 + 1) =(64 + 0 + 0 + 8 + 4 + 2 + 1) 19 + xxxxx₂ + 33 = 79 xxxxx₂ + 52 = 79 xxxxx₂ = 79 − 52 xxxxx₂ = 27₂₁₀ 27₁₀ = 11011₂ Therefore xxxxx₂ = 27₁₀ = 11011₂

Convert the binary to base 10 and they convert back to base two 10011₂ + xxxxx₂ + 11100₂ + 101₂ = 1001111₂ (1 × 2⁴ + 0 × 2³ + 1 × 2² + 1 × 21 + 1 × 2⁰) + xxxxx2 +(1 × 2⁴ + 1 × 2³ + 1 × 2² + 0 × 2² + 0 × 2⁰) + (1 × 2² + 0 × 2¹ + 1 × 2⁰) = (16 + 0 + 0 + 2 + 1) + xxxxx2 + (16 + 8 + 4 + 0 + 0 ) + (4 + 0 + 1) =(64 + 0 + 0 + 8 + 4 + 2 + 1) 19 + xxxxx₂ + 33 = 79 xxxxx₂ + 52 = 79 xxxxx₂ = 79 − 52 xxxxx₂ = 27₂₁₀ 27₁₀ = 11011₂ Therefore xxxxx₂ = 27₁₀ = 11011₂