2. Multiply each bit by its corresponding power of 2 and add all the terms up.
11 0101 0001 0100 0101 0001 0000 0101 0000 0100 0101 0000 1111 1110 0101(2) =
(1 × 257 + 1 × 256 + 0 × 255 + 1 × 254 + 0 × 253 + 1 × 252 + 0 × 251 + 0 × 250 + 0 × 249 + 1 × 248 + 0 × 247 + 1 × 246 + 0 × 245 + 0 × 244 + 0 × 243 + 1 × 242 + 0 × 241 + 1 × 240 + 0 × 239 + 0 × 238 + 0 × 237 + 1 × 236 + 0 × 235 + 0 × 234 + 0 × 233 + 0 × 232 + 0 × 231 + 1 × 230 + 0 × 229 + 1 × 228 + 0 × 227 + 0 × 226 + 0 × 225 + 0 × 224 + 0 × 223 + 1 × 222 + 0 × 221 + 0 × 220 + 0 × 219 + 1 × 218 + 0 × 217 + 1 × 216 + 0 × 215 + 0 × 214 + 0 × 213 + 0 × 212 + 1 × 211 + 1 × 210 + 1 × 29 + 1 × 28 + 1 × 27 + 1 × 26 + 1 × 25 + 0 × 24 + 0 × 23 + 1 × 22 + 0 × 21 + 1 × 20)(10) =
(144 115 188 075 855 872 + 72 057 594 037 927 936 + 0 + 18 014 398 509 481 984 + 0 + 4 503 599 627 370 496 + 0 + 0 + 0 + 281 474 976 710 656 + 0 + 70 368 744 177 664 + 0 + 0 + 0 + 4 398 046 511 104 + 0 + 1 099 511 627 776 + 0 + 0 + 0 + 68 719 476 736 + 0 + 0 + 0 + 0 + 0 + 1 073 741 824 + 0 + 268 435 456 + 0 + 0 + 0 + 0 + 0 + 4 194 304 + 0 + 0 + 0 + 262 144 + 0 + 65 536 + 0 + 0 + 0 + 0 + 2 048 + 1 024 + 512 + 256 + 128 + 64 + 32 + 0 + 0 + 4 + 0 + 1)(10) =
(144 115 188 075 855 872 + 72 057 594 037 927 936 + 18 014 398 509 481 984 + 4 503 599 627 370 496 + 281 474 976 710 656 + 70 368 744 177 664 + 4 398 046 511 104 + 1 099 511 627 776 + 68 719 476 736 + 1 073 741 824 + 268 435 456 + 4 194 304 + 262 144 + 65 536 + 2 048 + 1 024 + 512 + 256 + 128 + 64 + 32 + 4 + 1)(10) =
239 048 191 595 843 557(10)
The number 11 0101 0001 0100 0101 0001 0000 0101 0000 0100 0101 0000 1111 1110 0101(2) converted from an unsigned binary (in base 2) and written as a positive integer (with no sign) in decimal system (in base ten):
11 0101 0001 0100 0101 0001 0000 0101 0000 0100 0101 0000 1111 1110 0101(2) = 239 048 191 595 843 557(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.