2. Multiply each bit by its corresponding power of 2 and add all the terms up.
1 1110 1101 0000 0001 1110 0011 1100 0111 0011 0001 1000 1011 0010(2) =
(1 × 252 + 1 × 251 + 1 × 250 + 1 × 249 + 0 × 248 + 1 × 247 + 1 × 246 + 0 × 245 + 1 × 244 + 0 × 243 + 0 × 242 + 0 × 241 + 0 × 240 + 0 × 239 + 0 × 238 + 0 × 237 + 1 × 236 + 1 × 235 + 1 × 234 + 1 × 233 + 0 × 232 + 0 × 231 + 0 × 230 + 1 × 229 + 1 × 228 + 1 × 227 + 1 × 226 + 0 × 225 + 0 × 224 + 0 × 223 + 1 × 222 + 1 × 221 + 1 × 220 + 0 × 219 + 0 × 218 + 1 × 217 + 1 × 216 + 0 × 215 + 0 × 214 + 0 × 213 + 1 × 212 + 1 × 211 + 0 × 210 + 0 × 29 + 0 × 28 + 1 × 27 + 0 × 26 + 1 × 25 + 1 × 24 + 0 × 23 + 0 × 22 + 1 × 21 + 0 × 20)(10) =
(4 503 599 627 370 496 + 2 251 799 813 685 248 + 1 125 899 906 842 624 + 562 949 953 421 312 + 0 + 140 737 488 355 328 + 70 368 744 177 664 + 0 + 17 592 186 044 416 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 68 719 476 736 + 34 359 738 368 + 17 179 869 184 + 8 589 934 592 + 0 + 0 + 0 + 536 870 912 + 268 435 456 + 134 217 728 + 67 108 864 + 0 + 0 + 0 + 4 194 304 + 2 097 152 + 1 048 576 + 0 + 0 + 131 072 + 65 536 + 0 + 0 + 0 + 4 096 + 2 048 + 0 + 0 + 0 + 128 + 0 + 32 + 16 + 0 + 0 + 2 + 0)(10) =
(4 503 599 627 370 496 + 2 251 799 813 685 248 + 1 125 899 906 842 624 + 562 949 953 421 312 + 140 737 488 355 328 + 70 368 744 177 664 + 17 592 186 044 416 + 68 719 476 736 + 34 359 738 368 + 17 179 869 184 + 8 589 934 592 + 536 870 912 + 268 435 456 + 134 217 728 + 67 108 864 + 4 194 304 + 2 097 152 + 1 048 576 + 131 072 + 65 536 + 4 096 + 2 048 + 128 + 32 + 16 + 2)(10) =
8 673 077 583 091 890(10)
The number 1 1110 1101 0000 0001 1110 0011 1100 0111 0011 0001 1000 1011 0010(2) converted from an unsigned binary (in base 2) and written as a positive integer (with no sign) in decimal system (in base ten):
1 1110 1101 0000 0001 1110 0011 1100 0111 0011 0001 1000 1011 0010(2) = 8 673 077 583 091 890(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.