Input variable X is for up/down control. 0 → up counter, 1 → down counter X A 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 с 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 A+ 0 0 0 1 1 1 1 0 1 0 0 0 0 1 1 1 B+ 0 1 1 0 0 1 1 0 1 0 0 1 1 0 0 1 C+ 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 JA 0 0 0 1 X X X X 1 0 0 0 X X XX X ΚΑ X X X X 0 0 0 1 X X X X 1 0 0 0 Јв Кв Jc 0 X 1 1 X X X 0 1 X 1 X 0 X 1 1 X X X 0 1 X 1 X 1 X 1 0 X X X 1 1 X 0 X 1 X 1 X 0 X X 1 0 Xx 1 X Кс X 1 X 1 X 1 X 1 X 1 X 1 X 1 X 1
Input variable X is for up/down control. 0 → up counter, 1 → down counter X A 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 с 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 A+ 0 0 0 1 1 1 1 0 1 0 0 0 0 1 1 1 B+ 0 1 1 0 0 1 1 0 1 0 0 1 1 0 0 1 C+ 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 JA 0 0 0 1 X X X X 1 0 0 0 X X XX X ΚΑ X X X X 0 0 0 1 X X X X 1 0 0 0 Јв Кв Jc 0 X 1 1 X X X 0 1 X 1 X 0 X 1 1 X X X 0 1 X 1 X 1 X 1 0 X X X 1 1 X 0 X 1 X 1 X 0 X X 1 0 Xx 1 X Кс X 1 X 1 X 1 X 1 X 1 X 1 X 1 X 1
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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What are the 6 K-maps that come from this truth table of a 3-bit up/down binary counter
Transcribed Image Text:**Input variable X is for up/down control.**
- 0 ⇒ up counter
- 1 ⇒ down counter
| X | A | B | C | A⁺ | B⁺ | C⁺ | Jₐ | Kₐ | J_b | K_b | J_c | K_c |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | X | 0 | X | 1 | X |
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | X | 1 | X | X | 1 |
| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | X | X | 0 | 1 | X |
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | X | 0 | X | 1 | 1 |
| 0 | 1 | 0 | 0 | 1 | 0 | 1 | X | 0 | 0 | X | X | 1 |
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | X | 1 | X | 0 | X | 1 |
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | X | 1 | 1 | X | 1 | X |
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | X | 0 | X | X | 1 |
| 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | X | 1 | X | 1 | X |
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | X | 0 | 0 | X | X | 1 |
| 1 | 0 | 1 | 0 | 0 | 0 | 1 | X | 0 | X | 0 | 1 | X
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