Design a bcd to seven segment decoder, Computer Engineering

Assignment Help:

Design a BCD to seven segment decoder that accepts a decimal digit in BCS and generates the appropriate output for segments in display indicator.

Ans:

BCD-TO-seven-Segment Decoder: A digital display which consists of seven LED segments is commonly utilized to display decimal numerals in digital systems. Various familiar illustrations are electronic calculators and watches where one 7-segment display device is utilized for displaying one numeral 0 through 9. To use this display device, the data has to be converted by some binary code to the code essential for the display. Frequently the binary code utilized is Natural BCD. Fig.(a) demonstrates the display device. Fig.(b) demonstrates the segments that should be illuminated for each of the numerals and Fig.(c) provides the display system.

144_BCD to seven segment decoder.png

                                  Fig.(a)                                                   Fig.(b)

1346_Design a BCD to seven segment decoder.png

Fig.(c)

Table 1 provides the truth table of BCD-to-7-segment Decoder. Now there ABCD is the Natural BCD code for numerals 0 throughout 9. The K-maps for all of the outputs a through g are specified in Fig.(d), (f),(h),(j),(l),(n),(p). The whole in the K-map corresponding to 6 binary combinations not utilized in the truth table are X -don't care.

Decimal      Digit

Displayed

 

Inputs

 

 

 

 

 

Outputs

 

 

 

 

A

B

C

D

a

b

c

d

e

f

g

0

0

0

0

0

1

1

1

1

1

1

0

1

0

0

0

1

0

1

1

0

0

0

0

2

0

0

1

0

1

1

0

1

1

0

1

3

0

0

1

1

1

1

1

1

0

0

1

4

0

1

0

0

0

1

1

0

0

1

1

5

0

1

0

1

1

0

1

1

0

1

1

6

0

1

1

0

0

0

1

1

1

1

1

7

0

1

1

1

1

1

1

0

0

0

0

8

1

0

0

0

1

1

1

1

1

1

1

9

1

0

0

1

1

1

1

0

0

1

1

Tableno.1 Truth Table of BCD-to-7 Segment Decoder

(i) K-map and Logic Diagram for Digital Output 'a':

1603_Logic Diagram for Output a.png

For the Fig.(d) the simplified expressions is given by a =  B‾ D‾  + BD + CD + A and the logic diagram is demonstrated in Fig.(e)

648_Logic Diagram for Output e.png

Fig.(e) Logic Diagram for Output 'a'

(ii) K-map and Logic Diagram for Digital Output 'b':

1015_Logic Diagram for Output f.png

For the Fig.(f) the simplified expressions is specified by b =  B‾ +  C‾D‾  + CD and the logic diagram is demonstrated in Fig.(g)

1964_Logic Diagram for Output b.png

Fig.(g) Logic Diagram for Output 'b'

(iii) K-map and Logic Diagram for Digital Output 'c':

 

761_K-map and Logic Diagram for Digital Output.png

For the Fig.(h) the simplified expressions is specified by c = B + C‾ + D and the logic diagram is demonstrated in Fig.(i)

2216_logic diagram is demonstrated in i.png

Fig.(i) Logic Diagram for Output ' c '

(iv) K-map and Logic Diagram for Digital Output'd':

747_K-map and Logic Diagram for Digital Output d.png

The simplified expressions for the Fig.(j) is given by

d = B‾D‾ + CD‾ + B‾C +BC‾D and the logic diagram is demonstrated in Fig.(k)

70_Logic Diagram for Output d.png

Fig.(k) Logic Diagram for Output ' d '

(v) K-map and Logic Diagram for Digital Output 'e':

1180_K-map and Logic Diagram for Digital Output e.png

For the Fig.(l) the simplified expressions is specified by e =  B‾D‾  + CD‾  and the logic diagram is demonstrated in Fig.(m)

1466_Logic Diagram for Output m.png

Fig.(m) Logic Diagram for Output 'e'

 (vi) K-map and Logic Diagram for Digital Output 'f':

451_K-map and Logic Diagram for Digital Output f.png

For the Fig.(n) the simplified expressions is specified by f = A + C‾ D‾  + BC‾  +BD‾  and the logic diagram is demonstrated in Fig.(o)

1170_Logic Diagram for Output n.png

Fig.(o) Logic Diagram for Output ' f'

(vii) K-map and Logic Diagram for Digital Output 'g':

 

936_K-map and Logic Diagram for Digital Output b.png

For the Fig.(p) the simplified expressions is specified by g = A + BC‾ + B‾C+ CD‾  and the logic diagram is demonstrated in fig.(q).

743_Logic Diagram for Output 1.png

Fig.(q) Logic Diagram for Output ' g '


Related Discussions:- Design a bcd to seven segment decoder

Episodes - artificial intelligence , Episodes - artificial intelligence: ...

Episodes - artificial intelligence: If an agent's current choice of action not based on its past reactions, then the environment is known as episodic. In the non-episodic envi

Explain short note about molap?, Classic form of OLAP is called as MOLAP an...

Classic form of OLAP is called as MOLAP and it is often known as OLAP. Simple database structures like time period, product, location, etc are used. Functioning of each and every d

Explain applications of parallel processing, APPLICATIONS OF PARALLEL PROCE...

APPLICATIONS OF PARALLEL PROCESSING Parallel computing is an development of sequential computing which tries to emulate what has always been the condition of affairs in natural

Interrupt - driven input-output, Q. Interrupt - Driven Input-output? Pr...

Q. Interrupt - Driven Input-output? Problem with programmed I/O is that processor has to wait a long time for I/O interface to see whether a device is free or waits until compl

Show network topology in digital system, Q. Show Network Topology in digita...

Q. Show Network Topology in digital system? This deals with the geometrical arrangement of nodes (endpoints consisting of physical devices such as terminals, printers, PCs, and

Explain about the cathode ray tube technology, Cathode Ray Tube Technology ...

Cathode Ray Tube Technology (CRT) CRT is an analog device that is used by a digital device - computer. The interface between these two devices is described. The major component

Explain the use of wire-center have any influence, Does the use of wire-cen...

Does the use of wire-center have any influence on the performance of a token ring? Explain. One problem along with a ring network is as if the cable breaks somewhere, the ring

Loop statement in both the pbo and pai events, Why do we need to code a LOO...

Why do we need to code a LOOP statement in both the PBO and PAI events for each table in the screen? We require coding a LOOP statement in both PBO and PAI events for every ta

Explain biometric systems, Explain Biometric Systems Biometrics is the ...

Explain Biometric Systems Biometrics is the science of measuring physical properties of living beings. Biometric Authentication (1) Biometric authentication is the aut

Explain briefly the generic framework for e-commerce, Explain briefly the g...

Explain briefly the generic framework for e-commerce.  Generic framework of e-commerce contains the Applications of EC   (like as banking, shopping in online stores and malls,

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd