2. Multiply each bit by its corresponding power of 2 and add all the terms up.
1111 0000 1111 0000 1111 0000 1111 0000 1111 0000 1111 0000 1111 0001 0010 0110(2) =
(1 × 263 + 1 × 262 + 1 × 261 + 1 × 260 + 0 × 259 + 0 × 258 + 0 × 257 + 0 × 256 + 1 × 255 + 1 × 254 + 1 × 253 + 1 × 252 + 0 × 251 + 0 × 250 + 0 × 249 + 0 × 248 + 1 × 247 + 1 × 246 + 1 × 245 + 1 × 244 + 0 × 243 + 0 × 242 + 0 × 241 + 0 × 240 + 1 × 239 + 1 × 238 + 1 × 237 + 1 × 236 + 0 × 235 + 0 × 234 + 0 × 233 + 0 × 232 + 1 × 231 + 1 × 230 + 1 × 229 + 1 × 228 + 0 × 227 + 0 × 226 + 0 × 225 + 0 × 224 + 1 × 223 + 1 × 222 + 1 × 221 + 1 × 220 + 0 × 219 + 0 × 218 + 0 × 217 + 0 × 216 + 1 × 215 + 1 × 214 + 1 × 213 + 1 × 212 + 0 × 211 + 0 × 210 + 0 × 29 + 1 × 28 + 0 × 27 + 0 × 26 + 1 × 25 + 0 × 24 + 0 × 23 + 1 × 22 + 1 × 21 + 0 × 20)(10) =
(9 223 372 036 854 775 808 + 4 611 686 018 427 387 904 + 2 305 843 009 213 693 952 + 1 152 921 504 606 846 976 + 0 + 0 + 0 + 0 + 36 028 797 018 963 968 + 18 014 398 509 481 984 + 9 007 199 254 740 992 + 4 503 599 627 370 496 + 0 + 0 + 0 + 0 + 140 737 488 355 328 + 70 368 744 177 664 + 35 184 372 088 832 + 17 592 186 044 416 + 0 + 0 + 0 + 0 + 549 755 813 888 + 274 877 906 944 + 137 438 953 472 + 68 719 476 736 + 0 + 0 + 0 + 0 + 2 147 483 648 + 1 073 741 824 + 536 870 912 + 268 435 456 + 0 + 0 + 0 + 0 + 8 388 608 + 4 194 304 + 2 097 152 + 1 048 576 + 0 + 0 + 0 + 0 + 32 768 + 16 384 + 8 192 + 4 096 + 0 + 0 + 0 + 256 + 0 + 0 + 32 + 0 + 0 + 4 + 2 + 0)(10) =
(9 223 372 036 854 775 808 + 4 611 686 018 427 387 904 + 2 305 843 009 213 693 952 + 1 152 921 504 606 846 976 + 36 028 797 018 963 968 + 18 014 398 509 481 984 + 9 007 199 254 740 992 + 4 503 599 627 370 496 + 140 737 488 355 328 + 70 368 744 177 664 + 35 184 372 088 832 + 17 592 186 044 416 + 549 755 813 888 + 274 877 906 944 + 137 438 953 472 + 68 719 476 736 + 2 147 483 648 + 1 073 741 824 + 536 870 912 + 268 435 456 + 8 388 608 + 4 194 304 + 2 097 152 + 1 048 576 + 32 768 + 16 384 + 8 192 + 4 096 + 256 + 32 + 4 + 2)(10) =
17 361 641 481 138 401 574(10)
The number 1111 0000 1111 0000 1111 0000 1111 0000 1111 0000 1111 0000 1111 0001 0010 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):
1111 0000 1111 0000 1111 0000 1111 0000 1111 0000 1111 0000 1111 0001 0010 0110(2) = 17 361 641 481 138 401 574(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.