2. Multiply each bit by its corresponding power of 2 and add all the terms up.
100 1110 0010 1010 0011 1001 0100 0101 1010 1010 1010 1010 1010 1010 1001(2) =
(1 × 258 + 0 × 257 + 0 × 256 + 1 × 255 + 1 × 254 + 1 × 253 + 0 × 252 + 0 × 251 + 0 × 250 + 1 × 249 + 0 × 248 + 1 × 247 + 0 × 246 + 1 × 245 + 0 × 244 + 0 × 243 + 0 × 242 + 1 × 241 + 1 × 240 + 1 × 239 + 0 × 238 + 0 × 237 + 1 × 236 + 0 × 235 + 1 × 234 + 0 × 233 + 0 × 232 + 0 × 231 + 1 × 230 + 0 × 229 + 1 × 228 + 1 × 227 + 0 × 226 + 1 × 225 + 0 × 224 + 1 × 223 + 0 × 222 + 1 × 221 + 0 × 220 + 1 × 219 + 0 × 218 + 1 × 217 + 0 × 216 + 1 × 215 + 0 × 214 + 1 × 213 + 0 × 212 + 1 × 211 + 0 × 210 + 1 × 29 + 0 × 28 + 1 × 27 + 0 × 26 + 1 × 25 + 0 × 24 + 1 × 23 + 0 × 22 + 0 × 21 + 1 × 20)(10) =
(288 230 376 151 711 744 + 0 + 0 + 36 028 797 018 963 968 + 18 014 398 509 481 984 + 9 007 199 254 740 992 + 0 + 0 + 0 + 562 949 953 421 312 + 0 + 140 737 488 355 328 + 0 + 35 184 372 088 832 + 0 + 0 + 0 + 2 199 023 255 552 + 1 099 511 627 776 + 549 755 813 888 + 0 + 0 + 68 719 476 736 + 0 + 17 179 869 184 + 0 + 0 + 0 + 1 073 741 824 + 0 + 268 435 456 + 134 217 728 + 0 + 33 554 432 + 0 + 8 388 608 + 0 + 2 097 152 + 0 + 524 288 + 0 + 131 072 + 0 + 32 768 + 0 + 8 192 + 0 + 2 048 + 0 + 512 + 0 + 128 + 0 + 32 + 0 + 8 + 0 + 0 + 1)(10) =
(288 230 376 151 711 744 + 36 028 797 018 963 968 + 18 014 398 509 481 984 + 9 007 199 254 740 992 + 562 949 953 421 312 + 140 737 488 355 328 + 35 184 372 088 832 + 2 199 023 255 552 + 1 099 511 627 776 + 549 755 813 888 + 68 719 476 736 + 17 179 869 184 + 1 073 741 824 + 268 435 456 + 134 217 728 + 33 554 432 + 8 388 608 + 2 097 152 + 524 288 + 131 072 + 32 768 + 8 192 + 2 048 + 512 + 128 + 32 + 8 + 1)(10) =
352 023 578 459 941 545(10)
The number 100 1110 0010 1010 0011 1001 0100 0101 1010 1010 1010 1010 1010 1010 1001(2) converted from an unsigned binary (in base 2) and written as a positive integer (with no sign) in decimal system (in base ten):
100 1110 0010 1010 0011 1001 0100 0101 1010 1010 1010 1010 1010 1010 1001(2) = 352 023 578 459 941 545(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.