Bài tập Thiết kế luận lý 1 - Chương 3: Logic gates and boolean algebra - Nguyễn Quang Huy
dce 3.1
2011
• Draw the output waveform for the OR gate
dce 3.2 + 3.3
2011
• A input is shorted to ground (A = 0)
• A input is shorted to the +5 V (A = 1)
dce 3.4
2011
• If the output waveform from an OR gate is the
same as the waveform at one of its inputs, the
other input is being held permanently LOW
• If the output waveform from an OR gate is
always HIGH, one of its inputs is being held
permanently HIGH
dce 3.5
2011
• How many different sets of input conditions will
produce a HIGH output from a five-input OR
gate?
dce 3.7
2011
• The alarm is to be activated only when the
pressure and the temperature exceed their
mãimum limits at the same time ???
dce 3.8
2011
• Draw the output waveform for the AND gate
dce 3.9
2011
• Suppose that you have an unkown 2-input gate
(AND or OR gate)
• What combination of input levels should you
apply to the gate’s inputs to determine which
type of gate it is?
dce 3.12 (a)
2011
• Boolean expression for output x
• Draw the truth table
• (A’ + B’)’.B.C
dce 3.12 (b)
2011
• Boolean expression for output x
dce 3.16
2011
• Construct the corresponding logic circuit, using
AND and OR gates, and INVERTERs
y = (M + N)’ + P’Q
z = (A + B + C’DE’)’ + B’CD’
dce 3.19
2011
• Boolean expression for the output x
dce 3.22
2011
• Complete each expression
A + 1 =
A . A =
B . B’ =
C + C =
x . 0 =
D . 1 =
D + 0 =
C + C’ =
G + GF =
y + w’y =
dce 3.24
2011
• Simplify the expression
x = (M + N)(M’ + P)(N’ + P’)
z = A’BC’ + ABC’ + BC’D
dce 3.26
2011
• Simplify each of the following expressions using
DeMorgan’s theorems
(a) (A’BC’)’
(b) (A(B + C’)’D)’
(c) (A’ + C’ + D’)’
(d) (((AB)’C)’D)’
dce 3.28
2011
• Using only NAND gates, write the output
expression
dce 3.29
2011
• Using only NOR gates, write the output
expression
dce 3.30 + 3.31
2011
• A two-input NAND gate Æ two-input NOR gate
• A two-input NOR gate Æ two-input NAND gate
dce 3.32
2011
• Determine conditions will give a warning to the
pilot (warning light is ON)
dce 3.34
2011
• Select the appropriate logic-gate symbol
A HIGH output occurs only when all 3 inputs are LOW
A LOW output occurs only when any of the 4 inputs is LOW
A LOW output occurs only when all 8 inputs are HIGH
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