1. Identify each of the following expressions as SOP, standard SOP, POS, or standard POS: (a) AB + ABD + ACD (b) (A + B + C)(A + B+ C) (d) A(A + C)(A + B) (c) ABC + ABC

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Worksheet IV_2021
1. Identify each of the following expressions as SOP, standard SOP, POS, or standard
POS:
(a) AB + ABD + ĀCD
(c) ABC + ABC
(b) (A + B + C)(A + B + C)
(d) A(A + C)(A + B)
2. Convert each SOP expression in Question 1 to standard form.
3. Convert each POS expression in Question 1 to standard form.
4
Obtain the truth table of the following functions, and express each function in sum-of-minterms
and product-of-maxterms form:
(a) (xy +z)(y + xz)
(c) x'z + wx'y + wyz' + w'y'
(b) (x + y')(y' + 2)
(d) (xy + yz + x'z)(x + z)
.5.
Simplify the following Boolean expressions to a minimum number of literals:
(а)* АВС + А'В + АВС
(c)* (x + y)'(x' + y')
(e)* (BC' + A'D)(AB' + CD')
(b) x'yz + xz
(d) xy + x(wz + wz')
(f) (x + y' + z')(x'+ z')
6.
Write the Boolean equations and draw the logic diagram of the circuit whose outputs are defined
by the following truth table:
a
f2
1
1
1
1
1
1
1
1
1
1
1
Page 1 of 1
Transcribed Image Text:Worksheet IV_2021 1. Identify each of the following expressions as SOP, standard SOP, POS, or standard POS: (a) AB + ABD + ĀCD (c) ABC + ABC (b) (A + B + C)(A + B + C) (d) A(A + C)(A + B) 2. Convert each SOP expression in Question 1 to standard form. 3. Convert each POS expression in Question 1 to standard form. 4 Obtain the truth table of the following functions, and express each function in sum-of-minterms and product-of-maxterms form: (a) (xy +z)(y + xz) (c) x'z + wx'y + wyz' + w'y' (b) (x + y')(y' + 2) (d) (xy + yz + x'z)(x + z) .5. Simplify the following Boolean expressions to a minimum number of literals: (а)* АВС + А'В + АВС (c)* (x + y)'(x' + y') (e)* (BC' + A'D)(AB' + CD') (b) x'yz + xz (d) xy + x(wz + wz') (f) (x + y' + z')(x'+ z') 6. Write the Boolean equations and draw the logic diagram of the circuit whose outputs are defined by the following truth table: a f2 1 1 1 1 1 1 1 1 1 1 1 Page 1 of 1
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