Spring 2003 ENGR 212 Homework 1

This homework is due 27 January, 4:30 PM.

Problem 1

Convert the following numbers from decimal into binary and into hexadecimal numbers.

• 212
• 2003
• 48879
• 100

Problem 2

Add the following three pairs of unsigned binary numbers.

•   1001100
   +  11111
    

•       100
   +  11110
    

•   1001100
   +1001100
    

Problem 3

Add the following three pairs of 8-bit twos-complement binary numbers. Indicate if the addition results in an overflow.

•   10011000
   +11110001
    

•   01100110
   +11001100
    

•   01100110
   +01100110
    

Problem 4

Add the following three pairs of 16-bit twos complement binary numbers. Indicate if the addition results in an overflow

The numbers are expressed in hexadecimal notation.

•    2003
   + 9999
    

•    BEEF
   + 1111
    

•    3AC0
   + 6165
    

Problem 5

Perform the following additions using BCD arithmetic. Assume each 8-bit quantity is a packed-BCD number -- that is, that there are two decimal digits in each byte. Show where the intermediate result was modified because of carry or value greater than 9 to produce the correct final result.

•    18
   + 22
    

•    77
   + 14
    

•    06
   + 66
    

Problem 6

Create a five-bit gray code sequence of 32 values.