EECE 320 Homework 1, Fall 2014

American University of Beirut Department of Electrical and Computer Engineering EECE 320 – Digital Systems Design Assignment 1 Due 19-9-14 at 11am in class Suggested problems: Solve the drill problems of chapter 2. Problem 1: Complete the following table. Numbers are signed except when they are listed in the Unsigned Binary column. Use the necessary number of bits. Decimal Octal Hex. Unsigned Binary Signed- Magnitude representation Signed 1’s complement representation Signed 2’s complement representation +51.75 -42.125 +75 -63 11100101 10110100 01011001 Problem 2: Find the 9’s complement of the decimal number 5678. prove that 7261 – 5678 can be found as 7261 plus the 10’s complement of 5678. Problem 3: Assuming those are signed numbers written in 2’s complement representation compute using 2’s complement arithmetic, and using 8 bits: a) 011011 – 110110 b) 10110 – 101011 Problem 4: Add the following Hexadecimal numbers: 4B5C7A5F + 2CBF678A Problem 5: Add the following BCD numbers and verify your result by performing the corresponding decimal operation (hint: if the sum of two BCD digits is larger than 9 add 6 to this sum to get the result as a BCD digit): 1001+0101; 0110+0111; 1001+1000; 0111 1001 + 0110 0111