2. Multiply each bit by its corresponding power of 2 and add all the terms up.
10 0001 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0101 1000(2) =
(1 × 257 + 0 × 256 + 0 × 255 + 0 × 254 + 0 × 253 + 1 × 252 + 0 × 251 + 0 × 250 + 0 × 249 + 0 × 248 + 0 × 247 + 0 × 246 + 0 × 245 + 0 × 244 + 0 × 243 + 0 × 242 + 0 × 241 + 0 × 240 + 0 × 239 + 0 × 238 + 0 × 237 + 0 × 236 + 0 × 235 + 0 × 234 + 0 × 233 + 0 × 232 + 0 × 231 + 0 × 230 + 0 × 229 + 0 × 228 + 0 × 227 + 0 × 226 + 0 × 225 + 0 × 224 + 0 × 223 + 0 × 222 + 0 × 221 + 0 × 220 + 0 × 219 + 0 × 218 + 0 × 217 + 0 × 216 + 0 × 215 + 0 × 214 + 0 × 213 + 0 × 212 + 0 × 211 + 0 × 210 + 0 × 29 + 0 × 28 + 0 × 27 + 1 × 26 + 0 × 25 + 1 × 24 + 1 × 23 + 0 × 22 + 0 × 21 + 0 × 20)(10) =
(144 115 188 075 855 872 + 0 + 0 + 0 + 0 + 4 503 599 627 370 496 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 64 + 0 + 16 + 8 + 0 + 0 + 0)(10) =
(144 115 188 075 855 872 + 4 503 599 627 370 496 + 64 + 16 + 8)(10) =
148 618 787 703 226 456(10)
The number 10 0001 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0101 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 0001 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0101 1000(2) = 148 618 787 703 226 456(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.