3.5 the statement is False
3.13
4.5
4.6
4.7
f
The original expression assumes precedence of . over +, that is, the expression
is (W.X)+(Y.Z). The parenthesization must be retained for the correct result,
(W'+X').(Y'+

ECSE 2610 Homework #12 Solutions
1.
Assumptions:
Input 1: X/Y (complementary)
Input 2: Timeout (T)
T = 1 Timeout occurred
T = 0 No Timeout
Output 1: Alarm (A)
A = 1 Alarm On
A = 0 Alarm Off
Output 2: Unlocked (U)
U = 1 Unlocked
U = 0 Locked
- Don't Care
S

_
_
SECTION
1
NAME
ECSE-2610 Computer Components and Operations
Homework # 6
Due Wednesday, March 9, 2016 in studio
1. (4 points) If we replace all the XOR gates with XNOR gates in the following circuit, does it still
generate the parity bit (i.e., it is

SECTION
NAME
ECSE-2610 Computer Components and Operations
Homework # 2
Due Wednesday, Feb. 10 in studio
1. (4 points) Given the following ideal input-output voltage characteristic curve of an inverter.
If we set the minimum input voltage for logic 1 as 3

_
_
SECTION
1
NAME
ECSE-2610 Computer Components and Operations
Homework # 3
Due Wednesday, February 17, 2016 in studio
1. Find the minimal sum-of-product and product-of-sum expression for each of the following
functions. (4 points each)
(a) F=X,Y,Z(1, 3,

_
_
SECTION
1
NAME
ECSE-2610 Computer Components and Operations
Homework # 5
Due Wednesday, March 2, 2016 in studio
1. (5 points) Given the 4x6 PLA chip as shown below, sketch the programmed PLA chip
(like the one sketched on page 23 in the Lecture-7 slid

Binary Addition of 2 Bits
This table shows the sum for pairs of binary numbers
0+0=0
0+1=1
1+0=1
1 + 1 = 0 with a carry of 1
Also known as the Half-Adder Table,
and as Modulo-2 addition.
!
1/21/12
COCO: Number Systems

Decimal Addition: Refresher
8710
+
5610
8 x 101 + 7 x 100
+
5 x 101 + 6 x 100
13 x 101 + 13 x 100
Summary
14310
11
= 1 x 102 + (3+1) x 101 + 3 x 100
Column carries (0 or 1)
8710
+
5610
14310
1/21/12
COCO: Number Systems

Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner

Conversion Among Bases
In general, with positional number notation and the known decimal
weights for each position in any arbitrary base, it is easiest to convert
other bases to decimal.
This was demonstrated in each previous example where the decimal
val