1. Complete the following tasks related to the Week 4 content: a. Construct a Karnaugh map for the following expression: x(y + z') + xy b. Construct a minimal Sum of Products based on the following Karnaugh map: 1 1 1 1 1 1 1 c. Draw the circuit corresponding the the MinSoP you derived in part b above.

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MAT1252D
Your Task - Part A
1. Complete the following tasks related to the Week 4 content:
a. Construct a Karnaugh map for the following expression:
x(y + z') + xy
b. Construct a minimal Sum of Products based on the following Karnaugh map:
1
1
1
1
1
1
1
Challenge Task 1
c. Draw the circuit corresponding the the MinSoP you derived in part b above.
2. Complete the following tasks related to Week 5 content:
a. Consider two sets A = {a, b, c, d) and B = {w, x, y, z).
Let R be the relation defined by:
R = {(a, w), (a, z), (b, y), (c, y), (c, z), (d, w)}
Draw the graph of R, and the arrow diagram for R.
b. Express the relation "is a proper factor of" defined on the set {2, 3, 5, 10, 15, 20}
as a set of ordered pairs.
c. Consider sets H = {a, b, c, d), K = {e, f}, and L = {g, h, j, k), and relations U
between H and K, and V between K and L, defined by:
U = {(a, e), (b, f), (c, e), (c, f), (d, e)}
V = {(e, g), (e, j), (f. j)}
Draw the arrow diagram representing the composition of relations V and U, and
hence give the set of ordered pairs in that composition.
Transcribed Image Text:MAT1252D Your Task - Part A 1. Complete the following tasks related to the Week 4 content: a. Construct a Karnaugh map for the following expression: x(y + z') + xy b. Construct a minimal Sum of Products based on the following Karnaugh map: 1 1 1 1 1 1 1 Challenge Task 1 c. Draw the circuit corresponding the the MinSoP you derived in part b above. 2. Complete the following tasks related to Week 5 content: a. Consider two sets A = {a, b, c, d) and B = {w, x, y, z). Let R be the relation defined by: R = {(a, w), (a, z), (b, y), (c, y), (c, z), (d, w)} Draw the graph of R, and the arrow diagram for R. b. Express the relation "is a proper factor of" defined on the set {2, 3, 5, 10, 15, 20} as a set of ordered pairs. c. Consider sets H = {a, b, c, d), K = {e, f}, and L = {g, h, j, k), and relations U between H and K, and V between K and L, defined by: U = {(a, e), (b, f), (c, e), (c, f), (d, e)} V = {(e, g), (e, j), (f. j)} Draw the arrow diagram representing the composition of relations V and U, and hence give the set of ordered pairs in that composition.
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