Design a 4-input (A,B,C,D) digital circuit that will give at its output (X) a logic 1 only if there more ones than zeros in the binary number formed at the input
Design a 4-input (A,B,C,D) digital circuit that will give at its output (X) a logic 1 only if there more ones than zeros in the binary number formed at the input
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
Related questions
Question
Design a 4-input (A,B,C,D) digital circuit that will give at its output (X) a
logic 1 only if there more ones than zeros in the binary number formed at the input.
(See sample in the second picture)
Transcribed Image Text:Designing Combinational Logic Circuits Exercise
Example: Design a 4-input (A,B,C,D) digital circuit that will give at its output (X) a
logic 1 only if there more ones than zeros in the binary number formed at the input.
Inputs
Output
X =
АвсD
0 0 0 0
1
0 0 0
0 0 1
0 0 1
0 1 0 0
0 1 0 1
1
CD
2
АВ
00 01 11 10
3
1
4
00
01
1
1
11
0 1
0 0 0
1 0 0 1
10 1 0 1
11 1
7
1
1
8
1
10
9
0 1
1 0 0
1
12 1
13 1 10 1
14 | 1
15 1
X =
1 1
1
1
1
А в С D
X X
Transcribed Image Text:Designing Combinational Logic Circuits
Design a 4-input (A,B,C,D) digital circuit that would give at its output (X) a logic 1
only if the binary number formed at the input is between 2 and 9 (including).
Inputs
Output
АвсD
A X=(2,3,4,5,6,7,8,9)
00 0 0 0
0 0 0
2 0 0 1
0 0
1
1
1
CD
00 01 11 10
АВ
00 0 0 1 1
3
1
1
1
0 0
1 0 1
0 1
4
1
1
Same
5
1
01 1 1 1 1
1 0
1
1
11 0 00 0o
7
1
1
1
0 0
1 0 0
10 1 0 1
11 10 1
12 1
13 1
14| 1
15 1
1
1
10 1 100
1
1
1
0 0
0 1
1
X- АС + АВ +АВС
1
1
1 0
1 1
1
А в с D
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