1. Someone computer scientist claims he owns a book that is 1,000,000 years old. The catch is that the age is in binary. How old is this book in decimal years?

2. Convert the following three numbers into octal numbers. show the procedure get full credit:

0xFC9, 911, 0b00110101010

3. Convert the following binary unsigned numbers to octal, hexadecimal, and decimal:

1101,0100,1011 101,0001 1,0110

4. Convert the following signed two's complement binary numbers to decimal:

1011,0100,1011 101,0001 10000 11111

5. Why do we use 2's complement instead of 1's complement numbers to represent negative numbers?

6. Find a type of computer being developed that is entirely different from the modern electronic computer. Describe using your own language how it works and provide references to the new computer. Please be careful in choosing a trustworthy source.