ECE 349
Homework Assignment #7
Show your work! You will not receive full credit for the answer alone.
1. Do problem 13.3 on page 350 of your text.
(a) A+ = A(B + X ) + A (BX + B X ), B + = AB X + B (A + X )
AB
00
01
11
10
(c) Propagation delay assumed to
ECE 349
Homework Assignment #9
Solutions
Show your work! You will not receive full credit for the answer alone.
1. Using a 74x163 4-bit binary counter plus two NAND gates (and inverters, if needed),
design a counter circuit that counts in the sequence 0,
ECE 349
Homework Assignment #10
Solutions
1. (3 points) Do sample problem 1.c from the State Machine timing handout.
SM Clock
(Clock)
TpFFmax (35)
TpComb max (44)
Tsetup min (10)
TpInv min (6)
Tclk/2 + 6 = 89 ns
Tclk = 83 ns
F max = 6.024 MHz
2. (3 points
ECE 349
Homework Assignment #1
Solutions
Show your work on all of the problems below.
1. Perform the indicated conversions.
(a) 362.8910 552.70758
(b) 93.3310
1011101.0101010001112
101101010.1110001111012
5D.54716
2. Perform the indicated conversions.
(a)
ECE 349
Homework Assignment #2
Solutions
1. Find an expression for f = a b c + abc + a bc + ab c that uses only the exclusive-OR
and complement operations.
f = a(bc + b c) + a (b c + bc) = a(b c) + a (b c)
f =a bc
2. The following table shows the input an
ECE 349
Solutions
Homework Assignment #3
1. For the function F (a, b, c, d) = m(0, 1, 4, 6, 7, 9, 11, 13, 14) + d(2, 5, 12), list all of
the prime implicants and indicate which of these are essential prime implicants.
Prime implicants: a b, ab d, bd , c d
ECE 349
Homework Assignment #4
Solutions
Show your work! You will not receive full credit for the answer alone.
1. Use the Quine-McCluskey procedure to nd all of the prime implicants for f (a, b, c, d) =
m(0, 3, 4, 5, 7, 9, 11, 13).
The prime implicants a
ECE 349
Homework Assignment #5
Solutions
1. Is the set of operators Exclusive-OR and OR functionally complete? Justify your
answer.
Exclusive-OR and OR are functionally complete. A = 1 A, and (A + B ) = AB .
2. Realize the function f = a bc + bd + ac + b
ECE 349
Homework Assignment #6
Solutions
Show your work! You will not receive full credit for the answer alone.
1. (4 points) Using a PAL14L4, design a code converter that accepts as input the last ve
bits of the ASCII code for a hexadecimal number and ou
ECE 349
Homework Assignment #8
Solutions
Show your work! You will not receive full credit for the answer alone.
1. Design a counter that counts in the sequence: 101, 100, 011, 010, 001, 000, 101, .
Use clocked D ip-ops. Draw the circuit diagram. What will