2. Multiply each bit by its corresponding power of 2 and add all the terms up.
10 1110 1111 1000(2) =
(1 × 213 + 0 × 212 + 1 × 211 + 1 × 210 + 1 × 29 + 0 × 28 + 1 × 27 + 1 × 26 + 1 × 25 + 1 × 24 + 1 × 23 + 0 × 22 + 0 × 21 + 0 × 20)(10) =
(8 192 + 0 + 2 048 + 1 024 + 512 + 0 + 128 + 64 + 32 + 16 + 8 + 0 + 0 + 0)(10) =
(8 192 + 2 048 + 1 024 + 512 + 128 + 64 + 32 + 16 + 8)(10) =
12 024(10)
The number 10 1110 1111 1000(2) converted from an unsigned binary (in base 2) and written as a positive integer (with no sign) in decimal system (in base ten):
10 1110 1111 1000(2) = 12 024(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.