Consider the following truth table, which includes don't cares: 000 001 010 1 101 1 1 P R 1 1 X X O O 1 X Draw a Karnaugh Map corresponding to this truth table, where R is the output. Draw boxes around the appropriate bits, following the appropriate rules for doing so. For full credit, you must draw boxes in a way that guarantees that both the number of products and the number of sums is minimized. In addition, write out the optimized sum-of-products equation corresponding to the boxes you drew.

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
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Consider the following truth table, which includes don't
cares:
ABC
0 0 0
0 0 1
O
O
O
1 1
100
1 0 1
1
11
1 1 0
1 1
R
1
1
X
X
O
0
1
X
Draw a Karnaugh Map corresponding to this truth table,
where R is the output. Draw boxes around the
appropriate bits, following the appropriate rules for
doing so. For full credit, you must draw boxes in a way
that guarantees that both the number of products and
the number of sums is minimized. In addition, write out
the optimized sum-of-products equation corresponding
to the boxes you drew.
Transcribed Image Text:Consider the following truth table, which includes don't cares: ABC 0 0 0 0 0 1 O O O 1 1 100 1 0 1 1 11 1 1 0 1 1 R 1 1 X X O 0 1 X Draw a Karnaugh Map corresponding to this truth table, where R is the output. Draw boxes around the appropriate bits, following the appropriate rules for doing so. For full credit, you must draw boxes in a way that guarantees that both the number of products and the number of sums is minimized. In addition, write out the optimized sum-of-products equation corresponding to the boxes you drew.
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