1- Simplify the following Boolean functions, using three-variable K-maps (15 pts each, 30 pts)F(x, y, z) =Σ(2, 3, 4, 5, 7)F(x, y, z) = (0, 1, 2, 4, 5, 6)Draw th

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Answered: 1- Simplify the following Boolean…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Simplify the following Boolean expressions, using three variable K-maps: F(x,y,z)=xy+x′y′z′+x′yz′
Simplify the following Boolean expressions, using four-variable K-maps: w′z+xz+x′y+wx′z
The Karnaugh map for a Boolean function is given as CD C'D АВ C'D CD CD A'B A'B 1 АВ 1 1 1 АВ 1 1 The simplified Boolean equation for the above Karnaugh Map is 1
For the following expression, draw the 16-cell (4-variable) Karnaugh map. Convert to 8-cell entered variable Karanugh map. Choose any variable as the map-entered variable. Then simplify the expression. f(a, b, c, d) = Lm(3,4,6,9, 11, 12, 13,14)
Write the simplified Boolean expression Draw the circuit diagram Implement your function using 1 MUX(4x1) plus additional gates 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0=1 2=0 1=x 3=1 4=1 5=1 6=0 7=1 8=x 9=x 10=0 11=0 12=0 13=x 14=1 15=x
Simplify the following Boolean functions, using four- variable maps: (a) w'z + xz +x'y+wx'z (b) B’D + A’BC' +AB'C + ABC' (c) AB’C+ B’C’D'+BCD +ACD'+A’B'C+A°BC’D (d) wxy + yz +xy'z +x'y
Simplify the following Boolean functions, using Karnaugh maps: a) w'z + xz + x'y + wx'z AD' + B'C'D + BCD' + BC'D
Simplify the following Boolean functions using three variables k-map. F(x,y,z) = E(0,2,6,7) as Sum of products F(x,y,z) = x'y + yz' + y'z' Product of sums. as
1. Circle T (true) or F (false) for each of these Boolean equations. a) T F A +1 = A A + BC = (A + B)(B + C) A OB = AOB b) T F c) T F d) T F A(BC)=(AB)C e) A + B + C = A.B.C T F 2. Evaluate the following: Convert to hex: 11001001.10112 b) Convert to decimal: 110101.012 c) Convert to binary: 98.2510 d) Convert to decimal: 2A.416 3. Write the Boolean expression equivalent to the following logic circuit. Do not simplify! A D B 4. Draw the logic circuit realization of the following Boolean expression as stated. Do not simplify! f(A, B,C) = (A + B) + (B + C) 5. Write the complete truth table for the Boolean expression of 4 6. Simplify the following Boolean expression as far as possible, using the postulates and theorems of Boolean algebra. f(w, x, y) = wxy + wx + wỹ+ wxỹ 7. Simplify the following expression using the postulates and theorems of Boolean algebra. Eliminate all group complements. (АВС) (А + C)(А + C) 8. Given f(w, x, y, z) = I(0, 1,3,5, 13), a) Write the complete truth table…
Simplify the following Boolean expressions using k-maps:(a) xyz+wy+wxy’+x’y (b) x’y+yz’+y’z
Minterm | Maxterm 1. Given the truth table of F(A,B,C) on the right, determine the following: a. Express F as a minterm expansion in boolean expression. b. Express F as a minterm expansion in m-notation. c. Express F as a maxterm expansion in boolean expression. d. Express F as a maxterm expansion in M-notation A B CF 000 1 0 0 1 01 0 1 0 1 10 1 1 000 1 010 1101 1111 3. Each of three coins has two sides, heads and tails. Represent the heads or tails status of each coin by a logical variable (A for the first coin, B for the second coin, and C for the third) where the logical variable is 1 for heads and 0 for tails. Write a logic function F(A, B, C) which is 1 if and only if exactly one of the coins is heads after a toss of the coins. a. Express F as a minterm expansion in boolean expression. Express F as a minterm expansion in m-notation. b. c. Express F as a maxterm expansion in boolean expression. Express F as a maxterm expansion in M-notation d.
3. Use Karnaugh maps to simplify the following Boolean functions expressed in the sum of minterms. f(x,y,z) = m0 + m2 + m3 + m4 + m5 + m7 ху

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1- Simplify the following Boolean functions, using three-variable K-maps (15 pts each, 30 pts) F(x, y, z) =Σ(2, 3, 4, 5, 7) F(x, y, z) = (0, 1, 2, 4, 5, 6) Draw th