Binary Addition
In an 8-bit binary numbering system,
how can you tell if a number is
positive or negative? Explain!
Look at the MSB – if it is a “0”
The number is positive. If it is
a “1” the number is negative.
How many digits are in the hexidecimal
system and what are they?
16 digits:
0-9
and
A through F
What is the most common use for
XOR and XNOR gates?
Adder circuits
(half & full adders)
A multiplexer or demultiplexer is a type
of digital ______.
switch.
What is the purpose of a K-map?
Simplification of logic circuits
Solve for binary AND decimal sum of the
problem below. Express binary number
in 8 bit form.
28-16
12 = 00001100
What is the octal equivalent of 735410?
735410 = 162728
What type of gate does this symbol
represent and what is its logic
expression?
Its an XOR gate
Describe what a DEMUX
(demultiplexer) does and provide a
specific example of one.
Switches 1 input or source with multiple outputs.
Example: Computer hooked up to
various types of printers.
What is the simplified logic expression?
C’D’ C’D CD CD’
A’B’ 1 0 0 0
A’B 0 1 1 0
A B 1 1 1 0
A B’ 1 1 0 1
AB’D’ + B’C’D’ + AC’ + BD
What is the 2’s Complement equivalent
of the number below, expressed in
binary AND decimal?
01110101
10001011 = -117
What is the decimal equivalent of
544378?
544378 = 2281510
What type of gate does this symbol
represent and what is its logic
expression?
Its an XNOR gate
Describe what a MUX (multiplexer)
does and provide a specific example
of one.
DEMUX MUX
MUX:
Switches multiple
inputs or sources
with 1 output.
Example: home
theater sound
system.
What is the simplified logic expression?
C’D’ C’D CD CD’
A’B’ 0 1 1 0
A’B 1 1 X X
A B 0 X 0 X
A B’ 0 1 0 1
A’B + C’D + A’D + ACD’
Find the binary AND decimal sum of
the problem below.
01110101
+ 10011011
00010000 = 16
What is the hexadecimal equivalent of
1572710?
1572710 = 3D6F16
What is the correct truth table output for
an XOR gate?
A B Out
0 0
0 1
1 0
1 1
XOR
How can a multiplexer/demultiplexer be
used to conserve energy. Provide an
explanation and an example.
MUX or DEMUX circuits can
be used to power electronic
clocks & scoreboards.
They can conserve energy if they are
cycled on one at a time, rather than all
at once. If cycled fast enough, they all
appear to be on at the same time!
What would the 7 segment displays
(below) read?
AC
Find the binary AND decimal sum of the 8
bit binary numbers below. Binary answer
must be expressed as an 8 bit number
11011011
+ 11011001
1 10110100 = - 76
What is the decimal equivalent of
8A7C316?
8A7C316 = 56723510
What is the correct truth table
output for an XNOR gate?
A B Out
0 0
0 1
1 0
1 1
XNOR
What does FPGA stand for?
What does PLD stand for?
FPGA:
Field Programmable Gate Array
PLD:
Programmable Logic Device
What would the 7 segment displays read?