Binary Addition | Octal & Hex | XOR & XNOR | MUX & DEMUX | KMaps & 7 Seg. Displays |
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In an 8-bit binary numbering system how can you tell if a number is positive or negative?
Look at the MSB – if it is a “0” The number is positive. If it is a “1” the number is negative.
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How many digits are in the hexidecimal system and what are they?
16 digits: 0-9 and A through F
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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
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What is the purpose of a K-map?
Simplification of logic circuits
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Solve for binary AND decimal sum of the problem below. Express binary number in 8 bit form:
28-16
12 = 00001100
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What is the octal equivalent of 7354(10)?
16272(8)
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What type of gate does this symbol represent? (image in slides)
It is an XOR gate
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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.
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What is the simplified logic expression? (image in slides)
AB’D’ + B’C’D’ + AC’ + BD
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What is the 2’s Complement equivalent of the number below, expressed in binary AND decimal?
01110101
10001011 = -117
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What is the decimal equivalent of 54437(8)?
22815(10)
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What type of gate does this symbol represent? (image in slides)
It is an XNOR gate
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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.
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What is the simplified logic expression? image in slides
A’B + C’D + A’D + ACD’
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Find the binary AND decimal sum of the problem below: 01110101 + 10011011
00010000 = 16
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What is the hexadecimal equivalent of 15727(10)?
3D6F(16)
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What is the correct truth table output for an XOR gate?
XOR: 0
1 1 0 |
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!
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What would the 7 segment displays (below) read? Image in slides
AC
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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
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What is the decimal equivalent of 8A7C3(16)?
567235(10)
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What is the correct truth table output for an XNOR gate?
XNOR :1
0 0 1 |
What does FPGA stand for?
What does PLD stand for?
Field Programmable Gate Array
Programmable Logic Device |
What would the 7 segment displays read? image in slides
4U
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