What is (1 1101 11012) converted to decimal?

1) (1 1101 1101) is a binary number and can be converted to decimal by computing the sum of the powers of 2 corresponding to the set bits in the binary representation.

2) For binary number with n digits: d_n-1 ... d₃ d₂ d₁ d_0. The decimal number is equal to the sum of binary digits (d_n) times their power of 2 (2ⁿ):

• decimal = d₀×2⁰ + d₁×2¹ + d₂×2² + ...

3) (111011101)₂ = (1 × 2⁸) + (1 × 2⁷) + (1 × 2⁶) + (0 × 2⁵) + (1 × 2⁴) + (1 × 2³) + (1 × 2²) + (0 × 2¹) + (1 × 2⁰) = (477)₁₀

4) So (111011101)₂ in binary is equal to 417 in decimal.