Computer Science 1. Reduce the Boolean expression, F = m1 + m2 + m4 + m6 + m, using K-Map and implement it using universal gates. 2. Simplify the following Boolean expression using algebraic rules: (A+B)(A'+C)(B'+D)(CD') 3. A four-bit data code is transmitted using 7-bit even parity Hamming code: 1010100. Detect and correct error of the code. 4. Derive the Boolean expression for a two input X-NOR gate to realize with two input NOR gates.

Computer Science 1. Reduce the Boolean expression, F = m1 + m2 + m4 + m6 + m, using K-Map and implement it using universal gates. 2. Simplify the following Boolean expression using algebraic rules: (A+B)(A'+C)(B'+D)(CD') 3. A four-bit data code is transmitted using 7-bit even parity Hamming code: 1010100. Detect and correct error of the code. 4. Derive the Boolean expression for a two input X-NOR gate to realize with two input NOR gates.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

Convert (7372)8 ( (?)16 Using Boolean algebra postulates/theorems/identities. Prove that P + P.T = P Implement the following function using NAND gates. F(P,Q,R) = P´.Q + P.R´ + Q.R Using Boolean algebra postulates/theorems/identities. Prove that S + S´.T = S + T. Which logic gate can be used as 1 – bit comparator? (Maximum 2 lines answer is expected).
. Given the function: F(a, b, c) = (a + b)’c + a b c’ + a c a) Create the truth table for function F. 7b) Implement F by means of an 8-to-1 Multiplexer using block diagrams. Implement F by means of a 3-to-8 Decoder using block diagrams and any gates if needed.
1- Use Boolean algebra to simplify the following expressions. Then find the truth table for each after connecting the circuits. = AB + A(B + C) + B(B + C) F = F2 = A(B + A) + ABC + AC F3 = B(A+ C) + C(Ã+B) + AC %3D %3D
8- Add and subtract the following numbers without converting them into decimal. Binary numbers (10101111)2 and (10010101)2 ● ● ● Binary numbers (11001001)2 and (10110101) 2 Hexadecimal numbers (71) 16 and (2C)16 8. a. Draw the logical circuit using AND, OR, and NOT gates of the following Boolean function F = x'y + xz' +yz. b. Construct the truth table of the function. Redesign your circuit using NAND gates.
Use the laws of Boolean algebra to simplify the following Boolean expressions : (a) yx[x+(x*xy)] (b) [(rx y')+ xJ
1. Simplify the following Boolean Algebra equation Y = A'(B'C + BC') + A(B'C'+BC) + AB + AC + BC
Simplify the Boolean function. a) F = XYZ+ XYZ + XYZ+XYZ b) F = AC + AB+ ABC + BC
Simplify the Boolean function Y(A, B, C, D) = ∏M(0,1,2,5,6,8,10,13,14) Represent (67)10 in (a) binary number system (b) Gray code (c) BCD code (d) XS-3 code (e) 1’s complement
Simplify the Boolean function F (W, X, Y, Z) wxy + xz + wx'z + w'x
4. Using the operations corresponding to the gates in the gate table, derive a minimal (with respect to literals) expression for the number of days in a given month. The expression has five bits of input: • m3, m2, m1, mº: a four-bit number indicating the month (0001 is January, 0010 is February, etc.) leap: a single bit that true if and only if it is a leap year The expression has five output bits: d4, d3, d2, d₁, do: a five-bit number indicating the number of days in the given month. See Thirty Days Hath September for the rules. ● ●
Homework 12. Use NAND gates, NOR gates, or combinations of both to implement the following logic expressions as stated: (a) X = AB + CD + (A + B)(ACD + BE) (b) X = ABCD + DEF + AF (c) X = A[B + C(D + E)]
Kingdom of Saudi Arabia Ministry of Education Taif University, College of Computers & Information Technology Digital Logic Design 503221-4 Assignment 2 [1] Consider a Boolean Algebra Show that (a) x.y+xz+yz=x.y + x¹.z (b) (a+b)'(a'+by' = 0 (x+y)(x + y) (c) xyz + xy + xyz (d) (A+B) (A + B) [2] Algebraically simply the following expressions: (a) F=abc + abc + ab'c +abc' + a'b'c' (b) F=y(wz wz) + xy [3] Simplify the following Boolean expressions to a minimum number of literals! (a) xy + xy (b) (a) AC + ABC + (b) (79+z)+z+ xy +wx (c) AB(D+CD) + B(A + ACD) (d) (A+C)(A+C)(A + B + CD) [5] Find the complement of the following expressions: [4] Reduce the following Boolean expressions to the indicated number of literals: AC (a) xy + xy (b)(a + c)(a + b)(a + b + c) (c) z + Z(0w + xy) (d) (w+yz)(x + Wz) المملكة العربية السعودية وزارة التعليم جامعة الملف [6] Given F = ab + b(ad + ac) implement it with AND, OR and inver [7] Implement the Boolean function F = xy + yz (a) With AND, OR, and inverter…