2.1 Which of the following expressions are equivalent to (x + y') (yz + x'z') ? Circle all correct responses. (a) (b) (ii) (c) (xy') + (y+z) (x² + z²) (x'y) + (yz + x'z')' [(x'y) + (y' + z') (x + z)]' (d) X 2.2 Let f(w,x,y,z) = x'y'z' + w'x'y +w'y'z+wx'z. Suppose we know that inputs wxyz = 0110, 1101, 1010, and 1100 are disallowed. Give a minimal product-of-sums (POS) expression for f. Show your work. Including a K-map. y (e) (x'y)' [(y'+z')' + x’z’] (f) 2.3 The circuit below shows a 2-level NOR implementation of g(w,x,y,z). (i) Express g in minimal SOP form. W (x+y') [(y' + z') (x² + z')]' Give a minimal 2-level NAND implementation of g. Show your [(x' + y) (y'z' + xz)]' g(w.x,y,z) work.
2.1 Which of the following expressions are equivalent to (x + y') (yz + x'z') ? Circle all correct responses. (a) (b) (ii) (c) (xy') + (y+z) (x² + z²) (x'y) + (yz + x'z')' [(x'y) + (y' + z') (x + z)]' (d) X 2.2 Let f(w,x,y,z) = x'y'z' + w'x'y +w'y'z+wx'z. Suppose we know that inputs wxyz = 0110, 1101, 1010, and 1100 are disallowed. Give a minimal product-of-sums (POS) expression for f. Show your work. Including a K-map. y (e) (x'y)' [(y'+z')' + x’z’] (f) 2.3 The circuit below shows a 2-level NOR implementation of g(w,x,y,z). (i) Express g in minimal SOP form. W (x+y') [(y' + z') (x² + z')]' Give a minimal 2-level NAND implementation of g. Show your [(x' + y) (y'z' + xz)]' g(w.x,y,z) work.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question
![2.1 Which of the following expressions are equivalent to (x + y²) (yz + x'z') ? Circle all correct
responses.
(a)
(b)
(ii)
(c)
(xy') + (y+z) (x² + z²)
(x'y) + (yz + x'z')'
[(x³y) + (y' + z') (x + z)]'
(d)
(e)
W
(f)
X
2.2 Let f(w,x,y,z) = x'y'z' + w'x'y +w'y'z + wx'z. Suppose we know that inputs wxyz = 0110,
1101, 1010, and 1100 are disallowed. Give a minimal product-of-sums (POS) expression for
f. Show your work. Including a K-map.
(x+ y') [(y' + z') (x² + z')]'
2.3 The circuit below shows a 2-level NOR implementation of g(w,x,y,z).
(i)
Express g in minimal SOP form.
(x'y)' [(y'+z')' + x'z']
[(x' + y) (y'z' + xz)]'
Give a minimal 2-level NAND implementation of g. Show your work.
g(w.x.y.z)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27bc84e6-8eeb-47b0-84b6-2af3688c3671%2Ff249976b-f551-428e-a159-fea2db54abcb%2Fui4vvdd_processed.png&w=3840&q=75)
Transcribed Image Text:2.1 Which of the following expressions are equivalent to (x + y²) (yz + x'z') ? Circle all correct
responses.
(a)
(b)
(ii)
(c)
(xy') + (y+z) (x² + z²)
(x'y) + (yz + x'z')'
[(x³y) + (y' + z') (x + z)]'
(d)
(e)
W
(f)
X
2.2 Let f(w,x,y,z) = x'y'z' + w'x'y +w'y'z + wx'z. Suppose we know that inputs wxyz = 0110,
1101, 1010, and 1100 are disallowed. Give a minimal product-of-sums (POS) expression for
f. Show your work. Including a K-map.
(x+ y') [(y' + z') (x² + z')]'
2.3 The circuit below shows a 2-level NOR implementation of g(w,x,y,z).
(i)
Express g in minimal SOP form.
(x'y)' [(y'+z')' + x'z']
[(x' + y) (y'z' + xz)]'
Give a minimal 2-level NAND implementation of g. Show your work.
g(w.x.y.z)
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