Design a circuit with a 4-bit input representingthe binary number A3A2A1A0. The output should be 1 ifthe input value is divisible by 3. Assume that thecircuit is to be used only for the digits 0 through 9(thus, values for 10 to 15 can be don’t careconditions).a. Draw the Karnaugh map and truth table for thefunction.b. Determine the minimum expression for thefunction.c. Draw the circuit, using only AND, OR, and NOTgates.
Design a circuit with a 4-bit input representingthe binary number A3A2A1A0. The output should be 1 ifthe input value is divisible by 3. Assume that thecircuit is to be used only for the digits 0 through 9(thus, values for 10 to 15 can be don’t careconditions).a. Draw the Karnaugh map and truth table for thefunction.b. Determine the minimum expression for thefunction.c. Draw the circuit, using only AND, OR, and NOTgates.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Design a circuit with a 4-bit input representing
the binary number A3A2A1A0. The output should be 1 if
the input value is divisible by 3. Assume that the
circuit is to be used only for the digits 0 through 9
(thus, values for 10 to 15 can be don’t care
conditions).
a. Draw the Karnaugh map and truth table for the
function.
b. Determine the minimum expression for the
function.
c. Draw the circuit, using only AND, OR, and NOT
gates.
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