2. Multiply each bit by its corresponding power of 2 and add all the terms up.
1101 1000 0010 0010 0011 0000 0000 0110 0000 0001 1000 0100 0110(2) =
(1 × 251 + 1 × 250 + 0 × 249 + 1 × 248 + 1 × 247 + 0 × 246 + 0 × 245 + 0 × 244 + 0 × 243 + 0 × 242 + 1 × 241 + 0 × 240 + 0 × 239 + 0 × 238 + 1 × 237 + 0 × 236 + 0 × 235 + 0 × 234 + 1 × 233 + 1 × 232 + 0 × 231 + 0 × 230 + 0 × 229 + 0 × 228 + 0 × 227 + 0 × 226 + 0 × 225 + 0 × 224 + 0 × 223 + 1 × 222 + 1 × 221 + 0 × 220 + 0 × 219 + 0 × 218 + 0 × 217 + 0 × 216 + 0 × 215 + 0 × 214 + 0 × 213 + 1 × 212 + 1 × 211 + 0 × 210 + 0 × 29 + 0 × 28 + 0 × 27 + 1 × 26 + 0 × 25 + 0 × 24 + 0 × 23 + 1 × 22 + 1 × 21 + 0 × 20)(10) =
(2 251 799 813 685 248 + 1 125 899 906 842 624 + 0 + 281 474 976 710 656 + 140 737 488 355 328 + 0 + 0 + 0 + 0 + 0 + 2 199 023 255 552 + 0 + 0 + 0 + 137 438 953 472 + 0 + 0 + 0 + 8 589 934 592 + 4 294 967 296 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 4 194 304 + 2 097 152 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 4 096 + 2 048 + 0 + 0 + 0 + 0 + 64 + 0 + 0 + 0 + 4 + 2 + 0)(10) =
(2 251 799 813 685 248 + 1 125 899 906 842 624 + 281 474 976 710 656 + 140 737 488 355 328 + 2 199 023 255 552 + 137 438 953 472 + 8 589 934 592 + 4 294 967 296 + 4 194 304 + 2 097 152 + 4 096 + 2 048 + 64 + 4 + 2)(10) =
3 802 261 539 002 438(10)
The number 1101 1000 0010 0010 0011 0000 0000 0110 0000 0001 1000 0100 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):
1101 1000 0010 0010 0011 0000 0000 0110 0000 0001 1000 0100 0110(2) = 3 802 261 539 002 438(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.