LOGIC9_r2

# LOGIC9_r2 - Microwave &amp;amp;amp; Communication Lab....

This preview shows pages 1–17. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Microwave &amp; Communication Lab. Chapter 9 Multiple-Output Networks Microwave &amp; Communication Lab. EX: Design a network with four inputs and three outputs which realize the functions F1(A,B,C,D) = m(11,12,13,14,15) F2(A,B,C,D) = m(3,7,11,12,13,15) F3(A,B,C,D) = m(3,7,12,13,14,15) Design of Two-level Multiple-Output Networks Microwave &amp; Communication Lab. CD AB 00 01 11 10 1 1 1 1 1 1 So , F 2 =ABC+CD Microwave &amp; Communication Lab. CD AB 00 01 11 10 1 1 1 1 1 1 So , F 3 =ACD+AB Microwave &amp; Communication Lab. By karnaugh map method CD AB00 01 11 10 1 1 1 1 1 So, F 1 =AB+ACD Microwave &amp; Communication Lab. Way I : A B A C D A B C ' C D A' C D A B F1 F2 F3 21 inputs , 9 gates Microwave &amp; Communication Lab. Way : 18 inpu ts , 7 gates A B A C D A ' C D A B C ' F1 F2 F3 Microwave &amp; Communication Lab. For multiple-output networks design, try to minimize the total number of gates required . Procedure of design a minimum two-level multipleoutput network. (AND-OR) 1. Write every functions in its Karnaugh maps 2. Find the essentials and the corresponding essential prime implicants of each function. Microwave &amp; Communication Lab. 3. Find essential prime implicants of multiple-output networks by checking the all essentials of every function. If one essential is only showing in one function, then the corresponding essential prime implicants is an essential prime implicants to the network. This term must be included. 4. Find loops that can covers 2 n-1 minterms. 5. Cover the rest if 1of each function using minimum loops and minimum inputs. Microwave &amp; Communication Lab. EX : F1 = m (2,3,5,7,8,9,10,11,13,15) F2 = m (2,3,5,6,7,10,11,14,15) F3 = m (6,7,8,9,13,14,15) Sol: (1) C D A B 00 01 11 10 4 12 1 8 1 1 5 1 13 1 9 1 3 1 7 1 15 1 11 1 2 6 16 1 10 F1 Microwave &amp; Communication Lab. (2) CD AB 00 01 11 10 1 1 1 1 1 1 1 1 1 F2 Microwave &amp; Communication Lab. (3) CD AB 00 01 11 10 1 1 1 1 1 1 1 F3 Microwave &amp; Communication Lab. (1) Each function is minimized separately, F1 =BD+BC+AB = (5,7,13,15)+(2,3,10,11)+(8,9,10,11) F2 =C+ABD=(2,3,6,7,10,11,14,15)+(5,7) ABD F3 =BC+ABC+ or =(6,7,14,15)+(8,9)+(13,15) ACD Microwave &amp; Communication Lab. (2) By inspection of the maps, (5,7), (13,15) can be used in (5,7,13,15) F 2 F 3 F 1 (2,3,10,11), (6,7,14,15) can be used in (2,3,6,7,10,11,14,15) F 1 F 3 F 2 (8,9) can be used in (8,9,10,11) F 3 F 1 Microwave &amp; Communication Lab. So, F1 = (5,7)+(13,15)+(2,3,10,11)+(8,9) = ABD+ABD+AC+ABC F2 = BC+BC+ABD =C+ACD F3 = BC+ABC+ABD 8 gates 23 gate inputs (22 gate inputs) Microwave &amp; Communication Lab. The techniques for finding essential prime implicants outlined above can not be applied in this problem where every minterm of F 1 also appears on the F 2 or F 3 map....
View Full Document

## This note was uploaded on 10/23/2011 for the course EE 101 taught by Professor Wang during the Spring '11 term at Illinois State.

### Page1 / 82

LOGIC9_r2 - Microwave &amp;amp;amp; Communication Lab....

This preview shows document pages 1 - 17. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online