2. Multiply each bit by its corresponding power of 2 and add all the terms up.
101 0100 1010 0101 0100 1010 0101 0010 1000 0000 0000 0000 0000 0000 0011 0111(2) =
(1 × 262 + 0 × 261 + 1 × 260 + 0 × 259 + 1 × 258 + 0 × 257 + 0 × 256 + 1 × 255 + 0 × 254 + 1 × 253 + 0 × 252 + 0 × 251 + 1 × 250 + 0 × 249 + 1 × 248 + 0 × 247 + 1 × 246 + 0 × 245 + 0 × 244 + 1 × 243 + 0 × 242 + 1 × 241 + 0 × 240 + 0 × 239 + 1 × 238 + 0 × 237 + 1 × 236 + 0 × 235 + 0 × 234 + 1 × 233 + 0 × 232 + 1 × 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 + 0 × 216 + 0 × 215 + 0 × 214 + 0 × 213 + 0 × 212 + 0 × 211 + 0 × 210 + 0 × 29 + 0 × 28 + 0 × 27 + 0 × 26 + 1 × 25 + 1 × 24 + 0 × 23 + 1 × 22 + 1 × 21 + 1 × 20)(10) =
(4 611 686 018 427 387 904 + 0 + 1 152 921 504 606 846 976 + 0 + 288 230 376 151 711 744 + 0 + 0 + 36 028 797 018 963 968 + 0 + 9 007 199 254 740 992 + 0 + 0 + 1 125 899 906 842 624 + 0 + 281 474 976 710 656 + 0 + 70 368 744 177 664 + 0 + 0 + 8 796 093 022 208 + 0 + 2 199 023 255 552 + 0 + 0 + 274 877 906 944 + 0 + 68 719 476 736 + 0 + 0 + 8 589 934 592 + 0 + 2 147 483 648 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 32 + 16 + 0 + 4 + 2 + 1)(10) =
(4 611 686 018 427 387 904 + 1 152 921 504 606 846 976 + 288 230 376 151 711 744 + 36 028 797 018 963 968 + 9 007 199 254 740 992 + 1 125 899 906 842 624 + 281 474 976 710 656 + 70 368 744 177 664 + 8 796 093 022 208 + 2 199 023 255 552 + 274 877 906 944 + 68 719 476 736 + 8 589 934 592 + 2 147 483 648 + 32 + 16 + 4 + 2 + 1)(10) =
6 099 362 988 538 462 263(10)
The number 101 0100 1010 0101 0100 1010 0101 0010 1000 0000 0000 0000 0000 0000 0011 0111(2) converted from an unsigned binary (in base 2) and written as a positive integer (with no sign) in decimal system (in base ten):
101 0100 1010 0101 0100 1010 0101 0010 1000 0000 0000 0000 0000 0000 0011 0111(2) = 6 099 362 988 538 462 263(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.