Assignment 1

due in class on Mon 26 Sep

Solve the following problems on paper. You may use a calculator. Show your work!

1. What are the values of each of the columns for a 4-digit number in base 5?

2. Convert the following base 5 numbers into base 10.
   1. 342
   2. 214
   3. 1420
3. Convert the following base 10 numbers into base 5.
   1. 318
   2. 626
   3. 55
4. Convert the following base 10 numbers into binary (base 2).
   1. 37
   2. 55
   3. 14
   4. 63
5. Convert the following binary (base 2) numbers into base 10.
   1. 1011
   2. 10
   3. 1110
   4. 10101
6. Convert the following positive and negative base 10 numbers into 6-bit two’s-complement binary (base 2).
   1. 29
   2. –32
   3. –17
   4. –1