**Question:** What is the simplified expression for the following Kmap?**Karnaugh Map:**\[\begin{array}{c|c|c|c|c} & \text{YZ} & 00 & 01 & 11 & 10 \\\hline\text{WX} & & & & & \\00 & & 1 & 1 & 1 & 1 \\01 & & 1 & 1 & 0 & 0 \\11 & & 0 & 0 & 0 & 0 \\10 & & 0 & 0 & 0 & 1 \\\end{array}\]**Options:**- ○ WX' + WXY' + WXYZ'- ○ WY’ + WX’ + X’YZ’- ○ W' + WX'YZ'- ○ W' + WXY' + WXYZ'**Explanation of the Karnaugh Map:**- The map is a 4x4 grid representing the combinations of variables WX and YZ.- Each cell within the grid corresponds to a minterm, with a 1 indicating the term is included in the expression and a 0 indicating it is not.- For example, the first row under WX = 00 has all ones, meaning all combinations of YZ are included for that row.- The goal is to find the simplest Boolean expression that represents all the 1s in the Kmap. The options provided represent different possible simplifications of this expression.

Procedure to simplify a function a suing K-map: for sum of minterms -we need to group 1's in powers of 2, means number of 1's in each group must be power of 2 -we will start by selecting largest possible number of 1's for a group, then move to smaller sized groups until all 1's are grouped -1's can be grouped in only horizontally or vertically -we can consider don't cares, only when there is scope form a larger group with them -now, once all possible groups are formed, then select min possible groups, so that all 1's are covered -then convert each group to boolean exression, by performhing and operation between each varaible which is not changing in the group, this is minterm -then add all minterms using or operator, which gives simplified function Note: W =1, W' =0now, simplifying given k-map:

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What is the simplified expression for the following Kmap? YZ 01 00 11 10 WX 00 01 11 10 Owx' + W'XY' + WX'YZ' OWY +WX' + X'YZ W + WX'YZ' W' + W'X'Y + WX'YZ"

Database System Concepts

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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

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