4.13 A combinational logic circuit has four inputs (A, B, C, and D) and one output Z.The output is 1 iff the input has three consecutive O's or three consecutive 1's. Forexample, if A = 1, B = 0, C = 0, and D = 0, then Z = 1, but if A = 0, B = 1, C = 0,and D = 0, then Z = 0. Design the circuit using one four-input OR gate and fourthree-input AND gates.4.14 Design a combinational logic circuit which has one output Z and a 4-bit inputABCD representing a binary number. Z should be 1 iff the input is at least 5, but isno greater than 11. Use one OR gate (three inputs) and three AND gates (with nomore than three inputs each).

Truth TableABCDZ00001000110010000110010000101001100011111000110010101001011011000110101110111111

4.13 A combinational logic circuit has four inputs (A, B, C, and D) and one output Z. The output is 1 iff the input has three consecutive O's or three consecutive 1's. For example, if A = 1, B = 0, C = 0, and D = 0, then Z = 1, but if A = 0, B = 1, C = 0, and D = 0, then Z = 0. Design the circuit using one four-input OR gate and four three-input AND gates.

4.13 A combinational logic circuit has four inputs (A, B, C, and D) and one output Z. The output is 1 iff the input has three consecutive O's or three consecutive 1's. For example, if A = 1, B = 0, C = 0, and D = 0, then Z = 1, but if A = 0, B = 1, C = 0, and D = 0, then Z = 0. Design the circuit using one four-input OR gate and four three-input AND gates.

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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Question

4.13 A combinational logic circuit has four inputs (A, B, C, and D) and one output Z.
The output is 1 iff the input has three consecutive O's or three consecutive 1's. For
example, if A = 1, B = 0, C = 0, and D = 0, then Z = 1, but if A = 0, B = 1, C = 0,
and D = 0, then Z = 0. Design the circuit using one four-input OR gate and four
three-input AND gates.
4.14 Design a combinational logic circuit which has one output Z and a 4-bit input
ABCD representing a binary number. Z should be 1 iff the input is at least 5, but is
no greater than 11. Use one OR gate (three inputs) and three AND gates (with no
more than three inputs each).

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