2. Multiply each bit by its corresponding power of 2 and add all the terms up.
11 1011 1111 1100 0010 0001 1111 1011 0000 0010 0100 1011 1010 1010 0001 0110(2) =
(1 × 261 + 1 × 260 + 1 × 259 + 0 × 258 + 1 × 257 + 1 × 256 + 1 × 255 + 1 × 254 + 1 × 253 + 1 × 252 + 1 × 251 + 1 × 250 + 0 × 249 + 0 × 248 + 0 × 247 + 0 × 246 + 1 × 245 + 0 × 244 + 0 × 243 + 0 × 242 + 0 × 241 + 1 × 240 + 1 × 239 + 1 × 238 + 1 × 237 + 1 × 236 + 1 × 235 + 0 × 234 + 1 × 233 + 1 × 232 + 0 × 231 + 0 × 230 + 0 × 229 + 0 × 228 + 0 × 227 + 0 × 226 + 1 × 225 + 0 × 224 + 0 × 223 + 1 × 222 + 0 × 221 + 0 × 220 + 1 × 219 + 0 × 218 + 1 × 217 + 1 × 216 + 1 × 215 + 0 × 214 + 1 × 213 + 0 × 212 + 1 × 211 + 0 × 210 + 1 × 29 + 0 × 28 + 0 × 27 + 0 × 26 + 0 × 25 + 1 × 24 + 0 × 23 + 1 × 22 + 1 × 21 + 0 × 20)(10) =
(2 305 843 009 213 693 952 + 1 152 921 504 606 846 976 + 576 460 752 303 423 488 + 0 + 144 115 188 075 855 872 + 72 057 594 037 927 936 + 36 028 797 018 963 968 + 18 014 398 509 481 984 + 9 007 199 254 740 992 + 4 503 599 627 370 496 + 2 251 799 813 685 248 + 1 125 899 906 842 624 + 0 + 0 + 0 + 0 + 35 184 372 088 832 + 0 + 0 + 0 + 0 + 1 099 511 627 776 + 549 755 813 888 + 274 877 906 944 + 137 438 953 472 + 68 719 476 736 + 34 359 738 368 + 0 + 8 589 934 592 + 4 294 967 296 + 0 + 0 + 0 + 0 + 0 + 0 + 33 554 432 + 0 + 0 + 4 194 304 + 0 + 0 + 524 288 + 0 + 131 072 + 65 536 + 32 768 + 0 + 8 192 + 0 + 2 048 + 0 + 512 + 0 + 0 + 0 + 0 + 16 + 0 + 4 + 2 + 0)(10) =
(2 305 843 009 213 693 952 + 1 152 921 504 606 846 976 + 576 460 752 303 423 488 + 144 115 188 075 855 872 + 72 057 594 037 927 936 + 36 028 797 018 963 968 + 18 014 398 509 481 984 + 9 007 199 254 740 992 + 4 503 599 627 370 496 + 2 251 799 813 685 248 + 1 125 899 906 842 624 + 35 184 372 088 832 + 1 099 511 627 776 + 549 755 813 888 + 274 877 906 944 + 137 438 953 472 + 68 719 476 736 + 34 359 738 368 + 8 589 934 592 + 4 294 967 296 + 33 554 432 + 4 194 304 + 524 288 + 131 072 + 65 536 + 32 768 + 8 192 + 2 048 + 512 + 16 + 4 + 2)(10) =
4 322 367 104 327 854 614(10)
The number 11 1011 1111 1100 0010 0001 1111 1011 0000 0010 0100 1011 1010 1010 0001 0110(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 1011 1111 1100 0010 0001 1111 1011 0000 0010 0100 1011 1010 1010 0001 0110(2) = 4 322 367 104 327 854 614(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.