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Recent questions tagged morris-mano
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151
Morris Mano Edition 3 Exercise 3 Question 25 (Page No. 112)
Implement the following boolean function F together with the don’t-care conditions d using no more than two NOR gates. Assume both normal and the compliment inputs are available. F(A,B,C,D) = $\sum(0,1,2,9,11) $ $d(A,B,C,D) = \sum(8,10,14,15)$
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Morris Mano Edition 3 Exercise 3 Question 24 (Page No. 112)
A logic circuit implements the following Boolean function: F = A’C + AC’D’ it is found that the circuit input combination A=C=1 can never occur. Find a simpler expression for F using the proper don't-care conditions.
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153
Morris Mano Edition 3 Exercise 3 Question 23 (Page No. 113)
Simplify the boolean function F together with the don’t care conditions d in (1) sum of products and (2)product of sums. (A) $F(w,x,y,z) = \sum(0,1,2,3,7,8,10)$ $d(w,x,y,z) = \sum(5,6,11,15)$ (b) $F(A,B,C,D) = \sum (3,4,13,15)$ $d(A,B,C,D) =\sum(1,2,5,6,8,10,12,14)$
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154
Morris Mano Edition 3 Exercise 3 Question 22 (Page No. 112-113)
Simplify the following boolean function F together with the don’t care condition d; then express the simplified function in the sum of minterms. (a)$F(x,y,z)=\sum(0,1,2,4,5) $ $d(x,y,z)= \sum(3,6,7)$ (b) $F(A,B,C,D) = \sum(0,6,8,13,14)$ $d(A,B,C,D) = \sum(2,4,10)$ (C) $F(A,B,C,D) = \sum(1,3,5,7,9,15)$ $d(A,B,C,D)= \sum(4,6,12,13)$
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155
Morris Mano Edition 3 Exercise 3 Question 21 (Page No. 112)
List the Eight degenerate 2 level forms and show that they reduce to the single operation. Explain how the degenerate two-level forms can be used to extend the number of inputs to a gate.
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156
Morris Mano Edition 3 Exercise 3 Question 20 (Page No. 112)
Implement the function F with the Following two level Forms: NAND-AND, AND-NOR, OR-NAND, AND NOR-OR. F(A,B,C,D) = $\sum(0,1,2,3,4,8,9,12)$
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157
Morris Mano Edition 3 Exercise 3 Question 19 (Page No. 112)
Find the eight different two-level gate circuit to implement F = xy’z + x’yz + w.
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158
Morris Mano Edition 3 Exercise 3 Question 18 (Page No. 112)
Give three possible ways to express the function F with eight or fewer literals. F(A,B,C,D) = $\sum(0,2,5,7,10,13)$
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159
Morris Mano Edition 3 Exercise 3 Question 15,16 (Page No. 112)
Simplify the following functions and implement them with (15) two- level NOR gate circuits (16) three-level NOR gate circuits. F = wx’ + y’z’ + w’yz’ F(w,x,y,z) = $\sum(5,6,9,10)$
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0
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160
Morris Mano Edition 3 Exercise 3 Question 14 (Page No. 112)
Draw a logic diagram using only two input NAND gate to implement the following expression: (AB + A’B’)(CD’ + C’D)
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161
Morris Mano Edition 3 Exercise 3 Question 13 (Page No. 112)
Draw the NAND gate logic diagram that implements the complement of the following funcions: F(A,B,C,D) = $\sum ( 0,1,2,3,4,8,9,12)$
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162
Morris Mano Edition 3 Exercise 3 Question 12,17 (Page No. 112)
Simplify the following expressions and implement them with (12)two-level NAND gate circuits (17) three-level NAND gate circuits (a) AB’ + ABD + ABD’ + A’C’D + A’BC’ (b) BD + BCD’ + AB’C’D’
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2
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163
Morris Mano Edition 3 Exercise 3 Question 11 (Page No. 112)
Draw the AND-OR gate implementation of the following function after simplifying it in (a) sum of products and (b) product of sums. F= (A,B,C,D) = $\sum (0,2,5,6,7,8,10)$
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164
Morris Mano Edition 3 Exercise 3 Question 10 (Page No. 112)
Simplify the following boolean expressions into (1) Product of sums (2) sum of products. x’z’ + y’z’ + yz’ + xy AC’ + B’D + A’CD + ABCD (A’ + B’ + D’)(A + B’ + C’)(A’ + B + D’)(B + C’ + D’)
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165
Morris Mano Edition 3 Exercise 3 Question 9 (Page No. 111)
Simplify the following boolean functions in product of sums: F(w,x,y,z) = $\sum(0,2,5,6,7,8,10)$ F(A,B,C,D) = $\prod(1,3,5,7,13,15)$ F(x,y,z) = $\sum(2,3,6,7)$ F(A,B,C,D) = $\prod(0,1,2,3,4,10,11)$
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166
Morris Mano Edition 3 Exercise 3 Question 8 (Page No. 111)
Simplify the following boolean function using five variable maps. F(A,B,C,D,E) = $\sum (0,1,4,5,16,17,25,21,29)$ F(A,B,C,D,E) = $\sum (0,2,3,4,5,6,7,11,15,16,18,19,23,27,31)$ F= A’B’CE’ + A’B’C’D + B’D’E’ + B’CD’ + CDE’ + BDE’
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1
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167
Morris Mano Edition 3 Exercise 3 Question 7 (Page No. 111)
Simplify the following boolean functions by first finding the essential prime implicants. F(w,x,y,z) = $\sum (0,2,4,5,6,7,8,10.13,15)$ F(A,B,C,D) = $\sum (0,2,3,5,7,8,10,11,14,15)$ F(A,B,C,D) = $\sum (1,3,4,5,10,11,12,13,14,15)$
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168
Morris Mano Edition 3 Exercise 3 Question 6 (Page No. 111)
Find the Minterms of the each of the following expression by first plotting each function in the map. xy + yz + xy’z C’D + ABC’ +ABD’ + A’B’D wxy + x’z’ + w’xz
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4
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169
Morris Mano Edition 3 Exercise 3 Question 5 (Page No. 111)
Simplify the following boolean expressions using Four variable K-maps. w’z + xz + x’y + wx’z B’D + A’BC’ + AB’C + ABC’ AB’C + B’C’D’ + BCD + ACD’ + A’B’C + A’BC’D wxy + yz + xy’z + x’y
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170
Morris Mano Edition 3 Exercise 3 Question 4 (Page No. 111)
Simplify the following boolean functions using four variable K- maps F(A,B,C,D) = $\sum (0,1,2,4,5,7,11,15)$ F(w,x,y,z) = $\sum (1,4,5,6,12,14,15)$ F(A,B,C,D) = $\sum (0,2,4,5,6,7,8,10,13,15)$ F(w,x,y,z) = $\sum (2,3,10,11,12,13,14,15)$
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171
Morris Mano Edition 3 Exercise 3 Question 3 (Page No. 111)
Simplify the following boolean functions using four variable K- maps F(A,B,C,D) = $\sum (4,6,7,15)$ F(w,x,y,z) = $\sum (2,3,12,13,14,15)$ F(A,B,C,D) = $\sum (3,7,11,13,14,15)$
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172
Morris Mano Edition 3 Exercise 3 Question 2 (Page No. 111)
Simplify the Following Boolean Expressions using three-variable k-map. xy + x’y’z’ + x’yz’ x’y’ + yz + x’yz ’ A’B + BC’ + B’C’
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173
Morris Mano Edition 3 Exercise 3 Question 1 (Page No. 111)
Simplify the following Boolean functions using Three-Variable 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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174
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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175
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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176
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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177
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 Exclusive-OR operation is commutative and Associative.
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178
Morris Mano Edition 3 Exercise 2 Question 20 (Page No. 71)
Verify the truth table for three Variable Exclusive-OR 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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179
Morris Mano Edition 3 Exercise 2 Question 21 (Page No. 71)
TTL SSI comes mostly in 14-pin packets. two pins are reserved for power and the other 12 pins are for input-output terminals. Determine the number of gates that can be enclosed in one package if it contains the following ... two input exclusive-OR gate three input AND gates Four input NAND Gates FIve-input NOR gates Eight input NAND gates
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180
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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