ECE 2030 -- Introduction to Computer Engineering EXAM #2 SOLUTION
July 15, 2009 Page 1 of 3
Problem 1. (24 points)
Value
(decimal)
6-bit sign-magnitude
binary representation
6-bit 2’s-complement
binary representation
29 0 1 1 1 0 1 0 1 1 1 0 1
– 14 1 0 1 1 1 0 1 1 0 0 1 0
23 0 1 0 1 1 1 0 1 0 1 1 1
– 26 1 1 1 0 1 0 1 0 0 1 1 0
– 10 1 0 1 0 1 0 1 1 0 1 1 0
0 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1
+ 1 1 1 1 0 1 + 0 0 1 0 1 0 + 1 1 0 1 0 1
0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0
carry-out: 1 carry-out: 0 carry-out: 1
overflow: no overflow: yes overflow: no
1 0 1 1 0 0 0 1 0 0 1 0
– 1 1 0 1 1 1 – 1 1 0 1 0 1
1 1 0 1 0 1 0 1 1 1 0 1
overflow: no overflow: no
Problem 2. (12 points)
A. (4 points) Complete the state table for this register.
B. (8 points) Complete the following timing diagram for this
register. Assume that the initial value of the output is zero.
load toggle load hold
φ
1
φ
2
LD
T
IN
OUT
LD T OUT
+
0 0 OUT
0 1 OUT
1 x IN
