Answers to Base Conversion Exercises

1. 1. 35
   2. 738
   3. 2393
   4. 45871
   5. 14040

2. 1. 467₈; 137₁₆
   2. 27365₈; 2EF5₁₆

3. 1. 111100000011
   2. F03

4. 1. 00111100100111100111 (the first two 0s aren't necessary!)
   2. 744747

5. 1. 1000010000₂; 1020₈; 210₁₆; 1353₇
   2. 1000010101101₂; 10255₈; 10AD₁₆; 15306₇
   3. 101010101₂; 525₈; 155₁₆; 665₇
6. 1. 2⁵-1 = 31
   2. 2¹¹-1 = 2047
   3. 2³¹-1 = 2,147,483,647
7. 1. 1111111100111010
   2. 0000000000100101
   3. 1111111111011011
   4. 1110101110001101
   5. 0010001110001110
   6. 1101110001110010
8. 1. 115
   2. -119
   3. -34
   4. 7
   5. -1