2. Multiply each bit by its corresponding power of 2 and add all the terms up.
1000 1110 1101 1110 1101 1110 1100 1000 0100 0000 1101 1000 1101 1100(2) =
(1 × 255 + 0 × 254 + 0 × 253 + 0 × 252 + 1 × 251 + 1 × 250 + 1 × 249 + 0 × 248 + 1 × 247 + 1 × 246 + 0 × 245 + 1 × 244 + 1 × 243 + 1 × 242 + 1 × 241 + 0 × 240 + 1 × 239 + 1 × 238 + 0 × 237 + 1 × 236 + 1 × 235 + 1 × 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 + 0 × 221 + 0 × 220 + 0 × 219 + 0 × 218 + 0 × 217 + 0 × 216 + 1 × 215 + 1 × 214 + 0 × 213 + 1 × 212 + 1 × 211 + 0 × 210 + 0 × 29 + 0 × 28 + 1 × 27 + 1 × 26 + 0 × 25 + 1 × 24 + 1 × 23 + 1 × 22 + 0 × 21 + 0 × 20)(10) =
(36 028 797 018 963 968 + 0 + 0 + 0 + 2 251 799 813 685 248 + 1 125 899 906 842 624 + 562 949 953 421 312 + 0 + 140 737 488 355 328 + 70 368 744 177 664 + 0 + 17 592 186 044 416 + 8 796 093 022 208 + 4 398 046 511 104 + 2 199 023 255 552 + 0 + 549 755 813 888 + 274 877 906 944 + 0 + 68 719 476 736 + 34 359 738 368 + 17 179 869 184 + 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 + 0 + 0 + 0 + 0 + 0 + 0 + 32 768 + 16 384 + 0 + 4 096 + 2 048 + 0 + 0 + 0 + 128 + 64 + 0 + 16 + 8 + 4 + 0 + 0)(10) =
(36 028 797 018 963 968 + 2 251 799 813 685 248 + 1 125 899 906 842 624 + 562 949 953 421 312 + 140 737 488 355 328 + 70 368 744 177 664 + 17 592 186 044 416 + 8 796 093 022 208 + 4 398 046 511 104 + 2 199 023 255 552 + 549 755 813 888 + 274 877 906 944 + 68 719 476 736 + 34 359 738 368 + 17 179 869 184 + 8 589 934 592 + 2 147 483 648 + 1 073 741 824 + 134 217 728 + 4 194 304 + 32 768 + 16 384 + 4 096 + 2 048 + 128 + 64 + 16 + 8 + 4)(10) =
40 214 495 116 712 156(10)
The number 1000 1110 1101 1110 1101 1110 1100 1000 0100 0000 1101 1000 1101 1100(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 1110 1101 1110 1101 1110 1100 1000 0100 0000 1101 1000 1101 1100(2) = 40 214 495 116 712 156(10)
Spaces were used to group digits: for binary, by 4, for decimal, by 3.