2. Multiply each bit by its corresponding power of 2 and add all the terms up.
1000 0100 0000 0000 0000 0011 1100 0000 0000 0000 0000 0001 1110 0001 1110 1101(2) =
(1 × 263 + 0 × 262 + 0 × 261 + 0 × 260 + 0 × 259 + 1 × 258 + 0 × 257 + 0 × 256 + 0 × 255 + 0 × 254 + 0 × 253 + 0 × 252 + 0 × 251 + 0 × 250 + 0 × 249 + 0 × 248 + 0 × 247 + 0 × 246 + 0 × 245 + 0 × 244 + 0 × 243 + 0 × 242 + 1 × 241 + 1 × 240 + 1 × 239 + 1 × 238 + 0 × 237 + 0 × 236 + 0 × 235 + 0 × 234 + 0 × 233 + 0 × 232 + 0 × 231 + 0 × 230 + 0 × 229 + 0 × 228 + 0 × 227 + 0 × 226 + 0 × 225 + 0 × 224 + 0 × 223 + 0 × 222 + 0 × 221 + 0 × 220 + 0 × 219 + 0 × 218 + 0 × 217 + 1 × 216 + 1 × 215 + 1 × 214 + 1 × 213 + 0 × 212 + 0 × 211 + 0 × 210 + 0 × 29 + 1 × 28 + 1 × 27 + 1 × 26 + 1 × 25 + 0 × 24 + 1 × 23 + 1 × 22 + 0 × 21 + 1 × 20)(10) =
(9 223 372 036 854 775 808 + 0 + 0 + 0 + 0 + 288 230 376 151 711 744 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 2 199 023 255 552 + 1 099 511 627 776 + 549 755 813 888 + 274 877 906 944 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 65 536 + 32 768 + 16 384 + 8 192 + 0 + 0 + 0 + 0 + 256 + 128 + 64 + 32 + 0 + 8 + 4 + 0 + 1)(10) =
(9 223 372 036 854 775 808 + 288 230 376 151 711 744 + 2 199 023 255 552 + 1 099 511 627 776 + 549 755 813 888 + 274 877 906 944 + 65 536 + 32 768 + 16 384 + 8 192 + 256 + 128 + 64 + 32 + 8 + 4 + 1)(10) =
9 511 606 536 175 215 085(10)
The number 1000 0100 0000 0000 0000 0011 1100 0000 0000 0000 0000 0001 1110 0001 1110 1101(2) converted from an unsigned binary (in base 2) and written as a positive integer (with no sign) in decimal system (in base ten):
1000 0100 0000 0000 0000 0011 1100 0000 0000 0000 0000 0001 1110 0001 1110 1101(2) = 9 511 606 536 175 215 085(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.