Due: Oct14 th , 2014 11:00 A.M.
This Assignment is worth five percent (5%) of the total final grade. Each question has a number. Between right brackets is specified the marks assigned to that question.
Student last name
Student first name
Student number
1) [3] In your own words, describe the von Neumann architecture of a computer (use two or three sentences).
2) [3] Why humans and computers use number systems for ? Which number system is used by each one and why?
3) [5] What Character string does the following binary ASCII code represent?
010110010100111101010010010010110010000001001100011000010110111001000101
01110011
4) [16] Convert to decimal base (Show the Process)
A) 11110001
2 -
B) 11101111101
2
-
C) 157
8
-
D) 784
8
–
E) 1BC5
16
-
F) FDAC
16
-
5)[12] Convert to Binary Base (Show the Process)
A) 165
8
-
B) FACA
16
-
C) 346
10
-

6) [12] Convert to Hexadecimal Base (Show the Process)
A) 4661
10
-
B) 4343
8
-
C) 111110100011101
2
-
7) [12]Resolve the Following Operations
A) 111111001
2
+ 111001111
2
-
B) 64BC
16
+ 9BD2
16
-
C)
4A5
16
+ 755
8
–
8)[9]
a) Find the 16-bit 2’s complement binary representation of the decimal number 1243. b) Find the sign-and-magnitude binary representation of the decimal number -1243. c) Find the 16-bit 2’s complement binary representation of the decimal number -1243.
9)[5] 100111100011001 r epresents a 16-bit 2’s complement binary number. What decimal number does it represent? (count bits first)
10) [5] 10011101 represents a 8-bit 2’s complement binary number. What decimal number does it represent?
11)[5] Add the following two 12-bit 2’s complement binary numbers. Give the answer in decimal.
011001101111
111010111011
010100101000
12) [10} LMC
Suppose that the following program is loaded in the LMC memory:
Memory address
00
01
02
03
Instruction
Input
Store
Input
Store
Address
01
20
01
21

04
05
06
07
Input
Store
Subtract
Branch
Positive
Load
01
22
21
10
08
09
10
11
Branch
Load
Subtract
21
11
22
20
12
13
Output
Halt
02
00
Suppose that the program is supplied with the following decimal numbers: 23 , 20 and 15
(in this order). What will be the output in decimal? And what will be the output if the numbers 15, 18 and 32 are supplied (in this order)?
14. [3] How many bits are in 32MB? Give you answer in decimal.