For this laboratory assignment, you are required to design and successfully impl

Question

For this laboratory assignment, you are required to design and successfully implement a combinational circuit with four inputs and four outputs. Your circuit should convert an unsigned four-bit binary number to the equivalent four-bit Gray Code number.

            

A) Construct a truth table illustrating the behavior of a four-bit binary to Gray code converter.

B) Use Karnaugh maps to determine minimal sum-of-products and product-of-sums expressions representing each of the four Gray code output bits.

C) Design a circuit that uses a minimum number of 7400 quadruple 2-input NAND and 7404 hex inverter ICs to implement the minimal sum-of-products expressions from part B

D) Design a circuit that uses a minimum number of 7402 quadruple 2-input NOR and 7404 inverter ICs to implement the minimal product-of-sums expressions from part B.

(E) Finally, design a circuit that uses exactly one 7486 quadruple 2-input Exclusive-OR IC to implement the four-bit binary to Gray code converter.

For this laboratory assignment, you are required to design and successfully implement a combinational circuit with four inputs and four outputs. Your circuit should convert an unsigned four-bit binary number to the equivalent four-bit Gray Code number. (A)Construct a truth table illustrating the behavior of a four-bit binary to Gray code converter (B) Use Karnaugh maps to determine minimal sum-of-products and product-of-sums expressions representing each of the four Gray code output bits. (C) Design a circuit that uses a minimum number of 7400 quadruple 2-input NAND and 740.4 hex inverter ICs to implement the minimal sum-of-products expressions from part B (D)Design a circuit that uses a minimum number of 7402 quadruple 2-input NOR and 7404 inverter ICs to implement the minimal product-of-sums expressions from part B. (E) Finally, design a circuit that uses exactly one 7486 quadruple 2-input Exclusive-OR IC to implement the four-bit binary to Gray code converter (Ctn).

Explanation / Answer

The purpose of this experiment is to introduce th

e design of simple combinational circuits, in

this case half adders and fu

ll adders. The student should al

so be able to design an

n

-bit ripple carry

adder using n full adders.

One of the things that led to the “digital revolution” was the ability to perform complex

mathematical operations using a computer. During this

lab we will see how it is possible to design a

circuit to perform one such operation – adding two numbers together

.

We will be using two types of adders fo

r this lab and throughout

the semester. A half adder

adds two bits together and therefore has possible sums

of 0, 1, or 2. A full adder adds a carry-in bit to

two bits and has possible sums of 0, 1, 2, or 3. See Figure 2.1

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.