2. Multiply each bit by its corresponding power of 2 and add all the terms up.
10 0010 1100 1000 0110 0110 1101 0101 1110 1010(2) =
(1 × 237 + 0 × 236 + 0 × 235 + 0 × 234 + 1 × 233 + 0 × 232 + 1 × 231 + 1 × 230 + 0 × 229 + 0 × 228 + 1 × 227 + 0 × 226 + 0 × 225 + 0 × 224 + 0 × 223 + 1 × 222 + 1 × 221 + 0 × 220 + 0 × 219 + 1 × 218 + 1 × 217 + 0 × 216 + 1 × 215 + 1 × 214 + 0 × 213 + 1 × 212 + 0 × 211 + 1 × 210 + 0 × 29 + 1 × 28 + 1 × 27 + 1 × 26 + 1 × 25 + 0 × 24 + 1 × 23 + 0 × 22 + 1 × 21 + 0 × 20)(10) =
(137 438 953 472 + 0 + 0 + 0 + 8 589 934 592 + 0 + 2 147 483 648 + 1 073 741 824 + 0 + 0 + 134 217 728 + 0 + 0 + 0 + 0 + 4 194 304 + 2 097 152 + 0 + 0 + 262 144 + 131 072 + 0 + 32 768 + 16 384 + 0 + 4 096 + 0 + 1 024 + 0 + 256 + 128 + 64 + 32 + 0 + 8 + 0 + 2 + 0)(10) =
(137 438 953 472 + 8 589 934 592 + 2 147 483 648 + 1 073 741 824 + 134 217 728 + 4 194 304 + 2 097 152 + 262 144 + 131 072 + 32 768 + 16 384 + 4 096 + 1 024 + 256 + 128 + 64 + 32 + 8 + 2)(10) =
149 391 070 698(10)
The number 10 0010 1100 1000 0110 0110 1101 0101 1110 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):
10 0010 1100 1000 0110 0110 1101 0101 1110 1010(2) = 149 391 070 698(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.