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1. J₂ K-map The J₂ column in the truth table has the following 1s for input combinations: 001, 010, 011, 101, 110, 111 For a 3-variable K-map (with variables A, B, and X), we'll have a 2x4 grid. 00 01 1 0 1 4. K₁ K-man X 00 1 1 2. K₂ K-map The K₂ column has the following Xs (don't care conditions) for input combinations: 001, 010, 011, 100, 101, 110, 111 1 0 1 3. J₁ K-map The Jb column has the following is for input combinations: 010, 100, 110 00 X X 01 1 1 1 01 X X 11 ✔ 11 1 11 X 10 10 10

1. J₂ K-map The J₂ column in the truth table has the following 1s for input combinations: 001, 010, 011, 101, 110, 111 For a 3-variable K-map (with variables A, B, and X), we'll have a 2x4 grid. 00 01 1 0 1 4. K₁ K-man X 00 1 1 2. K₂ K-map The K₂ column has the following Xs (don't care conditions) for input combinations: 001, 010, 011, 100, 101, 110, 111 1 0 1 3. J₁ K-map The Jb column has the following is for input combinations: 010, 100, 110 00 X X 01 1 1 1 01 X X 11 ✔ 11 1 11 X 10 10 10

Database System Concepts
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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what are the equations produced by these kmaps

1. Ja K-map The Ja column in the truth table has the following 1s for input combinations: 001, 010, 011, 101, 110, 111 For a 3-variable K-map (with variables A, B, and X), we'll have a 2x4 grid. 0 1 0 1 4. Кь к-мар 00 X 1 00 1 1 2. K₂ K-map The K₂ column has the following Xs (don't care conditions) for input combinations: 001, 010, 011, 100, 101, 110, 111 00 0 1 3. Jb K-map The Jb column has the following 1s for input combinations: 010, 100, 110 X X 01 1 01 1 1 01 X X 11 1 11 1 11 X 10 10 10
Transcribed Image Text:1. Ja K-map The Ja column in the truth table has the following 1s for input combinations: 001, 010, 011, 101, 110, 111 For a 3-variable K-map (with variables A, B, and X), we'll have a 2x4 grid. 0 1 0 1 4. Кь к-мар 00 X 1 00 1 1 2. K₂ K-map The K₂ column has the following Xs (don't care conditions) for input combinations: 001, 010, 011, 100, 101, 110, 111 00 0 1 3. Jb K-map The Jb column has the following 1s for input combinations: 010, 100, 110 X X 01 1 01 1 1 01 X X 11 1 11 1 11 X 10 10 10
4. K₁, K-map The K, column has the following 1s for input combinations: 001, 011, 101  And the following Xs: 000, 010, 100, 110 0 1 0 1 X X 0 1 00 X 5. Jc K-map The Je column has the following 1s for input combinations:100, 101, 110 11 00 1 1 00 01 1 01 1 6. Kc K-map The Kc column has the following 1s for input combinations: 001, 011 And the following XS: 000, 010, 100, 110, 111 X 01 1 11 1 11 X X 10 10 10 1 X X X These are the six K-maps for the outputs Ja, Ka, Jb, Kb. Jc, and K based on the provided truth table for the 3-bit up/down binary counter.
Transcribed Image Text:4. K₁, K-map The K, column has the following 1s for input combinations: 001, 011, 101  And the following Xs: 000, 010, 100, 110 0 1 0 1 X X 0 1 00 X 5. Jc K-map The Je column has the following 1s for input combinations:100, 101, 110 11 00 1 1 00 01 1 01 1 6. Kc K-map The Kc column has the following 1s for input combinations: 001, 011 And the following XS: 000, 010, 100, 110, 111 X 01 1 11 1 11 X X 10 10 10 1 X X X These are the six K-maps for the outputs Ja, Ka, Jb, Kb. Jc, and K based on the provided truth table for the 3-bit up/down binary counter.
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