What are the first 5 digits after the decimal point (technically the hexadecimal point...) when the fraction $\frac{2}{7}$ is written in base $16$?
Start with 0.285714....
Multiply by 16:
0.285714×16=4.571424
Multiply 0.571424 by 16:
0.571424×16=9.142784
Multiply 0.142784 by 16:
0.142784×16=2.284544
Multiply 0.284544 by 16:
0.284544×16=4.552704
Multiply 0.552704 by 16:
0.552704×16=8.843264
First digit: 4
Second digit: 9
Third digit: 2
Fourth digit: 4
Fifth digit: 8
All combined is 49248