Bài tập Thiết kế luận lý 1 - Chương 4: Combinational logic circuits - Nguyễn Quang Huy
dce 4.1
2011
• Simplify the following expressions using Boolean
algebra
q = RST(R + S +T)
z = (B + C)(B + C) + A+ B + C
x = AB(CD) + ABD + BCD
dce 4.2
2011
• Simplify the circuit using Boolean algebra
• Change each gate to a NOR gate, and simplify
the circuit using Boolean algebra
dce 4.4
2011
• Design the logic circuit
corresponding to the
truth table
• Implement the circuit
using all NAND gates
dce 4.8
2011
• The headlights are on while the ignition is off
• The door is open while the ignition is on
dce 4.11
2011
dce 4.11...
2011
F(A,B,C) = Σ(0,1,4,6) + Σd(5)
dce 4.11 (ex.)
2011
F(A,B,C,D) = Σ(0,1,2,5,7,8,10,14,15)
+ Σd(3,13)
dce 4.12 + 4.13 + 4.14
2011
• Simplify the expression using K-map
x = ABC + ABC + ABC + ABC + ABC
y = AB(CD) + ABD + BCD
z = (C + D) + ACD + ABC + ABCD + ACD
dce 4.17
2011
dce 4.19
2011
• Determine the input conditions needed to
produce x = 1 (HIGH)
dce 4.20
2011
• A 7486 contains 4 XOR gates. Show how to
make an XNOR gate using only a 7486
dce 4.21
2011
• M = 1: two input numbers are equal
• N = 1: x2x1x0 is greater than y2y1y0
• P = 1: y2y1y0 is greater than x2x1x0
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