practise p.9-10 _ CIRCUIT DESIGN

Equipment, tools and materials

LW is related to solving problems of analysis and synthesis of combinational circuits (devices). Verification of problem solving is provided by a computer program «Interpreter of Boolean functions» [4]. To conduct a LR class with PC is required.

Safety measures when performing LW

Safety measures meet the requirements that must be followed when working in a computer lab.

The order of performance

In a laboratory notebook give: purpose, objectives, basic theoretical principles and problem solutions of the analysis and synthesis of digital combinational circuits that arise in the design of computer nodes.

Results of homework are necessary to show teacher and protect.

The correct solution of the problem is controlled by «the interpreter of Boolean functions.» If there are errors it is necessary to identify them.

Objects of problems are logical elements, decoders / encoders, multiplexers / demultiplexers, combinational adders.

Element base — ICs KR1533 series [3 ].

Task variants are presented in Table 1.

Table 1

Task variants

№ варіанту

BF

DC/CD

МХ/DMX

SM

1

2

3

4

5

1

1.1

2.1

3.1

4.1

2

1.2

2.2

3.2

4.2

3

1.3

2.1

3.1

4.3

4

1.4

2.3

3.2

4.4

5

1.5

2.4

3.1

4.2

6

1.8

2.2

3.2

4.5

Continuation of Table 1

№ варіанту

BF

DC/CD

МХ/DMX

SM

7

1.7

2.1

3.1

4.7

8

1.6

2.3

3.2

4.4

9

1.9

2.4

3.1

4.2

10

1.10

2.1

3.2

4.3

11

1.6

2.2

3.3

4.6

12

1.7

2.3

3.1

4.8

13

1.9

2.4

3.2

4.3

In Table 1, lines define variants of tasks and columns — groups of tasks: BF — Boolean function; DC / CD — decoder / encoder, MX / DMX — multiplexer / demultiplexer; SM — adder.

The tasks of BF group

Implement Boolean function y (x1, x2, …, xk). Basic operations:

“AND, OR, NOT”, “NOR”, “NAND”.

Define SF (switching function), implemented by combinational circuit (Fig.9). Simplify BF and construct a new scheme in basis of «NOR» on IC KP 1533.

To simplify the combinational circuit (CC) (Fig. 10) and build a new one in basis of «NOR».

Synthesize the CC in the basis of «AND, OR, NOT» which has the output signal y = 1 at different ranks of the output signal x1, x2.

Solve the problem № 1.3, using only logic gate «NAND».

Problem № 1.3, but used a logical element «NOR».

The impulses (Fig. 11) enter on the inputs of the CC (task 1.3). Determine diagram of the output signal y (t).

Synthesize the CC in basis «AND-OR-NOT», which has the output y = 1 for the equal input signals x1, x2.

The input pulse signals (Fig. 12) enter the inputs of the CC (task 1.7). Determine the timing diagram of the output signal y (t).