2. Multiply each bit by its corresponding power of 2 and add all the terms up.
10 0101 0010 1010 0101 0100 0010 1010 0101 0100 1000(2) =
(1 × 241 + 0 × 240 + 0 × 239 + 1 × 238 + 0 × 237 + 1 × 236 + 0 × 235 + 0 × 234 + 1 × 233 + 0 × 232 + 1 × 231 + 0 × 230 + 1 × 229 + 0 × 228 + 0 × 227 + 1 × 226 + 0 × 225 + 1 × 224 + 0 × 223 + 1 × 222 + 0 × 221 + 0 × 220 + 0 × 219 + 0 × 218 + 1 × 217 + 0 × 216 + 1 × 215 + 0 × 214 + 1 × 213 + 0 × 212 + 0 × 211 + 1 × 210 + 0 × 29 + 1 × 28 + 0 × 27 + 1 × 26 + 0 × 25 + 0 × 24 + 1 × 23 + 0 × 22 + 0 × 21 + 0 × 20)(10) =
(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 + 536 870 912 + 0 + 0 + 67 108 864 + 0 + 16 777 216 + 0 + 4 194 304 + 0 + 0 + 0 + 0 + 131 072 + 0 + 32 768 + 0 + 8 192 + 0 + 0 + 1 024 + 0 + 256 + 0 + 64 + 0 + 0 + 8 + 0 + 0 + 0)(10) =
(2 199 023 255 552 + 274 877 906 944 + 68 719 476 736 + 8 589 934 592 + 2 147 483 648 + 536 870 912 + 67 108 864 + 16 777 216 + 4 194 304 + 131 072 + 32 768 + 8 192 + 1 024 + 256 + 64 + 8)(10) =
2 553 983 182 152(10)
The number 10 0101 0010 1010 0101 0100 0010 1010 0101 0100 1000(2) converted from an unsigned binary (in base 2) and written as a positive integer (with no sign) in decimal system (in base ten):
10 0101 0010 1010 0101 0100 0010 1010 0101 0100 1000(2) = 2 553 983 182 152(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.