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Morris Mano Edition 3 Exercise 3 Question 2 (Page No. 111)
Simplify the Following Boolean Expressions using threevariable kmap. xy + x’y’z’ + x’yz’ x’y’ + yz + x’yz ’ A’B + BC’ + B’C’
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Apr 1, 2019
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Digital Logic
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Morris Mano Edition 3 Exercise 3 Question 1 (Page No. 111)
Simplify the following Boolean functions using ThreeVariable maps. F(x,y,z) = $\sum (0,1,5,7)$ F(x,y,z) = $\sum (1,2,3,6,7)$ F(x,y,z) = $\sum (3,5,6,7)$ F(A,B,C) = $\sum (0,2,3,4,6)$
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Apr 1, 2019
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Digital Logic
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Morris Mano Edition 3 Exercise 2 Question 15 (Page No. 71)
Convert the following Expressions into the sum of Products and Product of sums. (AB + C)(B + C’D) X’ + X(X + Y’)(Y + Z’)
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Apr 1, 2019
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Digital Logic
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Morris Mano Edition 3 Exercise 2 Question 17 (Page No. 71)
Draw the Logic Diagram corresponding to the following Operation without simplifying them. BC’ + AB + ACD (A + B)(C + D)(A’ + B + D) (AB + A’B’)(CD’ + C’D)
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Apr 1, 2019
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Digital Logic
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5
Morris Mano Edition 3 Exercise 2 Question 18 (Page No. 71)
Show that the Dual of the Exclusive OR is equal to its complement.
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Apr 1, 2019
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Digital Logic
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6
Morris Mano Edition 3 Exercise 2 Question 19 (Page No. 71)
by substituting the boolean expression equivalent of the binary operation defined in the below table, show the following. The inhibition operation is neither commutative nor associative. The ExclusiveOR operation is commutative and Associative.
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Apr 1, 2019
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Digital Logic
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Morris Mano Edition 3 Exercise 2 Question 20 (Page No. 71)
Verify the truth table for three Variable ExclusiveOR function. Do that By listing all the eight combinations of X, Y and Z than Evaluate A = X $\bigoplus$ Y. also Evaluate F = A $\bigoplus Z = X \bigoplus Y\bigoplus Z$
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Apr 1, 2019
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Digital Logic
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Morris Mano Edition 3 Exercise 2 Question 21 (Page No. 71)
TTL SSI comes mostly in 14pin packets. two pins are reserved for power and the other 12 pins are for inputoutput terminals. Determine the number of gates that can be enclosed in one package if it contains the following ... two input exclusiveOR gate three input AND gates Four input NAND Gates FIveinput NOR gates Eight input NAND gates
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Apr 1, 2019
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Digital Logic
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9
Morris Mano Edition 3 Exercise 2 Question 22 (Page No. 71)
Show that a positive logic NAND gate is a negative Logic Nor Gate and vice versa.
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Apr 1, 2019
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Digital Logic
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Morris Mano Edition 3 Exercise 2 Question 23 (Page No. 71)
An integratedcircuit Logic Family has NAND Gates having Fan out 5 and Buffer gates with fan out 10. Show how the output signal of a Single NAND gate can be applied to 50 other NAND gate without overloading the output gate.use the buffer to satisfy the fanout requirement
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Apr 1, 2019
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Digital Logic
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11
Morris Mano Edition 3 Exercise 2 Question 15 (Page No. 71)
The sum of all the minterms of the boolean function of the n variable is 1. Prove the above statement with n = 3. give a Procedure for a general proof
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Mar 31, 2019
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Digital Logic
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12
Morris Mano Edition 3 Exercise 2 Question 14 (Page No. 71)
Convert the following to the other canonical Form $(a) F(A,B,C,D) = \prod(0,1,2,3,4,6,12)$ $(b) F(x,y,z) = \sum(1,3,7)$
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Mar 31, 2019
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Digital Logic
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13
Morris Mano Edition 3 Exercise 2 Question 13 (Page No. 71)
Express the complement of the following function in the sum of minterms. $(a) F(A,B,C,D) = \sum(0,2,6,11,13,14)$ $(b) F(x,y,z) = \prod(0,3,6,7)$
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Mar 31, 2019
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Digital Logic
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minsumofproductsform
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14
Morris Mano Edition 3 Exercise 2 Question 12 (Page No. 70)
Express the following function in the sum of minterms and The product of the maxterms. (a) F(A,B,C,D) = B’D + A’D + BD (b)F(x,y,z)=(xy + z)(xz + y)
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Mar 31, 2019
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Digital Logic
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15
Morris Mano Edition 3 Exercise 2 Question 11 (Page No. 70)
Given the Following Boolean Function: F = xy'z + x'y'z + w'xy + wx'y + wxy Obtain the truth table of the function. Draw the logic diagram using the original Boolean Expression. Simplify the function to the minimum ... Draw the logic diagram of the simplified function and Compare the total number of gates with the logic diagram in part 2.
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Mar 31, 2019
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Digital Logic
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16
Morris Mano Edition 3 Exercise 2 Question 10 (Page No. 70)
For the Boolean Function F Given in the Truth Table, Find the following. x y z F 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 List the Minterm of F’.and F Express F in the sum of Minterm in algebraic form. simplify the function to an Expression with the minimum number of the literals.
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Mar 31, 2019
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Digital Logic
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Morris Mano Edition 3 Exercise 2 Question 9 (Page No. 70)
Obtain the truth tables of the following Boolean Functions. Express Each Function in Sum of minterm And Product of Maxterm. (xy + z)((y + xz) (A’ + B)(B’ + C) y’z + wxy’ +wxz’ + w’x’z
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Mar 31, 2019
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Digital Logic
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18
Morris Mano Edition 3 Exercise 2 Question 8 (Page No. 70)
Using DeMorgan’ s theorem, Convert the following Boolean Expressions to the Equivalent Expressions that have only AND and Complement Operation. Show that the function can be implemented with the logic diagram that have AND gate and inverter Only. (a) F = x’y’ + x’z + y’z (b) F = (y + z’)(x + y)(y’ + z)
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19
Morris Mano Edition 3 Exercise 2 Question 7 (Page No. 70)
Using DeMorgan’ s theorem, Convert the following Boolean Expressions to the Equivalent Expressions that have only OR and Complement Operation. Show that the function can be implemented with the logic diagram that have OR gate and inverter Only. (a) F = x’y’ + x’z + y’z (b) F = (y + z’)(x + y)(y’ + z)
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Mar 31, 2019
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20
Morris Mano Edition 3 Exercise 2 Question 6 (Page No. 70)
Find the complement of the following boolean expressions x’y + xy’ (AB’ + C)D’ + E AB(CD’ + C’D) + A’B’(C + D’)(C’ + D) (X + Y’ + Z)(X’ + Z’)(X + Y)
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Mar 31, 2019
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21
Morris Mano Edition 3 Exercise 2 Question 5 (Page No. 69)
Find the complement of X + YZ; then show that F.F’=0 and F + F’ = 1
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Mar 31, 2019
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22
Morris Mano Edition 3 Exercise 2 Question 4 (Page No. 69)
Reduce the Following Boolean Expressions to the indicated numbers of the literals A’C’ + ABC +AC’ to three literals (X’Y’ + Z’)’ + Z + XY + WZ to three literals A’B(D’ + C’D) + B(A + A’CD) to one literals (A’ + C)(A’ + C’)(A+ B + C’D) to four literals
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23
Morris Mano Edition 3 Exercise 2 Question 3 (Page No. 69)
Simplify the Boolean expression to the minimum numbers of the literals. $ABC + A’B + ABC’$ $X’YZ + XZ$ $( X+ Y)’(X’ + Y’)$ $XY + X(WZ + WZ’)$ $(BC’ + A’D)(AB’ + CD’)$
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Mar 31, 2019
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Morris Mano Edition 3 Exercise 2 Question 2 (Page No. 69)
Simplify the following boolean Expressions to the minimum number of Literals x’y’ + xy + x’y (x + y)(x + y’) x’y + xy’ + xy + x’y’ x’ + xy + xz’ + xy’z’ xy’ + y’z’ + x’z’
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Mar 31, 2019
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25
Morris Mano Edition 3 Exercise 2 Question 1 (Page No. 69)
Demonstrate the validity of the Following identities by means of the truth tables. DeMorgan’s theorem for three variables (xyz)’= x’ + y’ + z’. the second Distributive Law x + yz = (x+y)(x+z). The Consensus Theorem xy+x’z + yz = xy + x’z.
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26
GATE20196
Which one of the following is NOT a valid identity? $(x \oplus y) \oplus z = x \oplus (y \oplus z)$ $(x + y) \oplus z = x \oplus (y+z)$ $x \oplus y = x+y, \text{ if } xy=0$ $x \oplus y = (xy+x’y’)’$
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Feb 7, 2019
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gate2019
digitallogic
booleanalgebra
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27
MadeEasy Full Length Test 2019: Digital Logic  Boolean Expressions
The maximum number of Boolean expressions that can be formed for the function f(x,y,z) satisfying the relation f(x’,y,z’) = f(x,y,z) is.
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Jan 28, 2019
in
Digital Logic
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madeeasytestseries2019
madeeasytestseries
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28
Made easy CBT 1
how to solve (the logic behind this question)
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Jan 14, 2019
in
Digital Logic
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Raja Rawal
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29
Boolean Algebra
The function f(a,b,q,g)=$\prod m(1,2,4,6,8,9)$. Can f(a,b,q,g) be written as f(q,g,b,a) + $\sum m(5,10)$? If not, what would be the correct equation?
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Dec 30, 2018
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Jay Bhutada 1
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103
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digitallogic
booleanalgebra
0
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1
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30
NIELIT 201871
In the given truth table, $f(x,y)$ represent the Boolean function. $\begin{array}{ccc} \hline x & y & f(x,y) \\ \hline 0 & 0 & 1 \\ \hline 0 & 1 & 0 \\ \hline 1 & 0 & 0 \\ \hline 1 & 1 & 1 \\ \hline \end{array}$ $x \leftrightarrow y$ $ x \wedge y$ $x \vee y$ $x \rightarrow y$
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