2. Multiply each bit by its corresponding power of 2 and add all the terms up.
101 0001 1100 0100 1011 0111(2) =
(1 × 222 + 0 × 221 + 1 × 220 + 0 × 219 + 0 × 218 + 0 × 217 + 1 × 216 + 1 × 215 + 1 × 214 + 0 × 213 + 0 × 212 + 0 × 211 + 1 × 210 + 0 × 29 + 0 × 28 + 1 × 27 + 0 × 26 + 1 × 25 + 1 × 24 + 0 × 23 + 1 × 22 + 1 × 21 + 1 × 20)(10) =
(4 194 304 + 0 + 1 048 576 + 0 + 0 + 0 + 65 536 + 32 768 + 16 384 + 0 + 0 + 0 + 1 024 + 0 + 0 + 128 + 0 + 32 + 16 + 0 + 4 + 2 + 1)(10) =
(4 194 304 + 1 048 576 + 65 536 + 32 768 + 16 384 + 1 024 + 128 + 32 + 16 + 4 + 2 + 1)(10) =
5 358 775(10)
The number 101 0001 1100 0100 1011 0111(2) converted from an unsigned binary (in base 2) and written as a positive integer (with no sign) in decimal system (in base ten):
101 0001 1100 0100 1011 0111(2) = 5 358 775(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.