2. Multiply each bit by its corresponding power of 2 and add all the terms up.
100 0000 0010 0000 0010 0000 0001 0000 0000 1000 0000 0100 0000 0010 0000 1010(2) =
(1 × 262 + 0 × 261 + 0 × 260 + 0 × 259 + 0 × 258 + 0 × 257 + 0 × 256 + 0 × 255 + 0 × 254 + 1 × 253 + 0 × 252 + 0 × 251 + 0 × 250 + 0 × 249 + 0 × 248 + 0 × 247 + 0 × 246 + 1 × 245 + 0 × 244 + 0 × 243 + 0 × 242 + 0 × 241 + 0 × 240 + 0 × 239 + 0 × 238 + 0 × 237 + 1 × 236 + 0 × 235 + 0 × 234 + 0 × 233 + 0 × 232 + 0 × 231 + 0 × 230 + 0 × 229 + 0 × 228 + 1 × 227 + 0 × 226 + 0 × 225 + 0 × 224 + 0 × 223 + 0 × 222 + 0 × 221 + 0 × 220 + 0 × 219 + 1 × 218 + 0 × 217 + 0 × 216 + 0 × 215 + 0 × 214 + 0 × 213 + 0 × 212 + 0 × 211 + 0 × 210 + 1 × 29 + 0 × 28 + 0 × 27 + 0 × 26 + 0 × 25 + 0 × 24 + 1 × 23 + 0 × 22 + 1 × 21 + 0 × 20)(10) =
(4 611 686 018 427 387 904 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 9 007 199 254 740 992 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 35 184 372 088 832 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 68 719 476 736 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 134 217 728 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 262 144 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 512 + 0 + 0 + 0 + 0 + 0 + 8 + 0 + 2 + 0)(10) =
(4 611 686 018 427 387 904 + 9 007 199 254 740 992 + 35 184 372 088 832 + 68 719 476 736 + 134 217 728 + 262 144 + 512 + 8 + 2)(10) =
4 620 728 470 908 174 858(10)
The number 100 0000 0010 0000 0010 0000 0001 0000 0000 1000 0000 0100 0000 0010 0000 1010(2) converted from an unsigned binary (in base 2) and written as a positive integer (with no sign) in decimal system (in base ten):
100 0000 0010 0000 0010 0000 0001 0000 0000 1000 0000 0100 0000 0010 0000 1010(2) = 4 620 728 470 908 174 858(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.