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Chapter 12: Q17E (page 828)

Construct a half adder using NAND gates.

Short Answer

Expert verified

The circuit is

Step by step solution

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01

Defining of gates.

There are three types of gates.

It is also called NOT gate.

02

construct a circuit.

The circuit is

Therefore, this is the required result.

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Most popular questions from this chapter

Is there a single type of logic gate that can be used to build all circuits that can be built using \({\bf{OR}}\)gates, \({\bf{AND}}\) gates, and inverters?

Use a \(3\)- cube \({{\bf{Q}}_{\bf{3}}}\) to represent each of the Boolean functions in Exercise \(6\) by displaying a black circle at each vertex that corresponds to a \(3\)-tuple where this function has the value \(1\) .

Are these sets of operators functionally complete?

a) \(\left\{ {{\bf{ + ,}} \oplus } \right\}\)

b) \(\left\{ {\,{\bf{,}} \oplus } \right\}\)

c) \({\bf{\{ \cdot,}} \oplus {\bf{\} }}\)

Use a table to express the values of each of these Boolean functions.

\(\begin{array}{l}(a)F(x,y,z) = \bar xy\\(b)F(x,y,z) = x + yz\\(c)F(x,y,z) = x\bar y + \overline {(xyz)} \\(d)F(x,y,z) = x(yz + \bar y\bar z)\end{array}\)

\(a)\) What does it mean for a set of operators to be functionally complete\(?\)

\(b)\)Is the set \(\{ {\bf{ + }}, \cdot \} \) functionally complete\(?\)

\(c)\)Are there sets of a single operator that are functionally complete\(?\)
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