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Simple 2-bit Calculator with a decoder for a 7 segment display.

Experiment No. 7: Implementation of 2x4 decoder using basic gates.

Done by:

Saranga K. Mahanta

Scholar Id: 18-14-038

Use two 2-to-4 DECODERS (with Enable bits) one INVERTER gate and two AND gates to implement a 3-to-8 DECODER (with Enable bit).

Use a 3-to-8 DECODER (and an OR gate) to implement the following function: 𝐹 = ∑𝑚(1,2,3,5,7).

For a decoder, If the input is a N bit binary number, then the output will be one the lines of the 2^N output lines.

So, for a 2-bit binary input, there will be 2^2 output lines and only one of the output lines will be active according to the binary combination of the inputs. This type of decoder is known as 2 to 4 decoder.

A

B

Q0

Q1

Q2

Q4

0

0

1

0

0

0

0

1

0

1

0

0

1

0

0

0

1

1

1

0

0

0

1

Consider a 8:1 multiplexer that takes 8 two-bit inputs (T8 to T1), three-bit control signal (S) and has an output (Out). This Type of multiplexer is known as a 8 to 1 multiplexer. The truth table is given below:

S2

S1

S0

OUT

0

0

0

T1

0

0

1

T2

0

1

0

T3

0

1

1

T4

1

0

0

T5

1

0

1

T6

1

1

0

T7

1

1

1

T8

Contains 

• 3 to 8 Decoder from 2 to 4 Decoder
• 2 to 4 Decoder with Enable
• AND 3

Decoder:-

A decoder is a combinational circuit. It has n input and to a maximum m = 2n outputs. Decoder is identical to a demultiplexer without any data input. It performs operations which are exactly opposite to those of an encoder.

Block diagram:-

Truth table:-

Diagram:-

*formed using simulator.

Encoder:-

Encoder is a combinational circuit which is designed to perform the inverse operation of the decoder. An encoder has n number of input lines and m number of output lines. An encoder produces an m bit binary code corresponding to the digital input number. The encoder accepts an n input digital word and converts it into an m bit another digital word.

Block diagram:-

Truth table:-

Diagram:-

*formed using simulator.

Encoder, Decoder, Convertor, Full Adder using Decoder

Input of the decoder is driven by a flip flop counter.

This is a project to understand how to combination analysis tool works.

A 7 Segment Decoder with ROM to check the decoder check the text file here 

Seven Segment Display Truth Table.txt

Seven  Segment Truth Table - if you want o add a decimal point, add an 8 to the Tens Digit - If you are using a Common Anode Display not Cathode, use the Binary Inverter or the Hex Inverter Datasheet to invert the Hex or Binary values

Actually, the "7 Segment Out" group is an binary output while the Hex out is the Hexadecimal because Hex is short for Hexadecimal

Anyway, Hexadecimal Values go from 0 - F while Decimal is 0-9 (since hex is diffeent then dec the letters A-F are actually 10-15

4-bit In  7 Segment Out

D C B A   DP A B C D E F G  Hex out  Display

0 0 0 0   0 1 1 1 1 1 1 0  0x7E (7E)  0

0 0 0 1   0 0 1 1 0 0 0 0  0x30 (30)  1

0 0 1 0   0 1 1 0 1 1 0 1  0x6D (6D)  2

0 0 1 1   0 1 1 1 1 0 0 1  0x79 (79)  3

0 1 0 0   0 0 1 1 0 0 1 1  0x33 (33)  4

0 1 0 1   0 1 0 1 1 0 1 1  0x5B (5B)  5

0 1 1 0   0 1 0 1 1 1 1 1  0x5F (5F)  6

0 1 1 1   0 1 1 1 0 0 1 0  0x72 (72)  7

1 0 0 0   0 1 1 1 1 1 1 1  0x7F (7F)  8

1 0 0 1   0 1 1 1 1 0 1 1  0x7B (7B)  9

1 0 1 0   0 1 1 1 0 1 1 1  0x77 (77)  A

1 0 1 1   0 0 0 1 1 1 1 1  0x1F (1F)  B

1 1 0 0   0 1 0 0 1 1 1 0  0x4E (4E)  C

1 1 0 1   0 0 1 1 1 1 0 1  0x3D (3D)  D

1 1 1 0   0 1 0 0 1 1 1 1  0x4F (4F)  E

1 1 1 1   0 1 0 0 0 1 1 1  0x47 (47)  F

Invert the hex or binary value for a Common Anode Display - to invert a Binary Value, use a NPN or PNP Transistor (BJT) - to invert a Hexadecimal value use the Hex Inverter 74HC04 and check this pinout 

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 

Binary Invert

In Out

0 > 1

1 > 0

Hex Inverter

In Out

0 > F

1 > E

2 > D

3 > C

4 > B

5 > A

6 > 9

7 > 8

8 > 7

9 > 6

A > 5

B > 4

C > 3

D > 2

E > 1

F > 0

How to invert a value:

If your inverting a 4-bit Hex use 15-n1=n2

n1 is the number to input

n2 is the output

5-bit Hex - use 31 ↑

4-bit Hex - use 15 |

3-bit Hex - use 7  |

2-bit Hex - use 3  |

1-bit Hex - use 1  |

Tip: Double the numbers as the bits goes up and divide the numbers with the arrow besides them by 2 as the bits go down

Hex to decimal or Vice Versa

0-0

1-1

2-2

3-3

4-4

5-5

6-6

7-7

8-8

9-9

A-10

B-11

C-12

D-13

E-14

F-15

Binary to Hex

0000 - 0 

0001 - 1

0010 - 2

0011 - 3

0100 - 4

0101 - 5

0110 - 6

0111 - 7

The value depend on the bits(cuz bits=binary digits )

And so goes on

5bit - 00000 ↑

4 bit - 0000 |

3bit  - 000  |

2bit  - 00   |

1bit  - 0    |

2x4 Decoder , 3x8 Decoder , 4x 16 Decoder

Hello,

I have built a fully working converter that converts 16-bit binary code to BCD.

I wanted a mode with a small amount of gates instead of millions of cells connected in series to ROM. As a result, I designed the converter in a slightly different way, using only 5 ROM cells, one register, one shift register and, of course, since this is an algorithm where the operation is performed by cyclically changing one piece of data, we also need a control unit. This is only for clock control and a few minor details.

This conversion method is generally referred to as double-dabble, also known as shift-and-add-3. In fact, it is a large number of ROM cells, each cell handling a 4-bit or BCD code. It works by adding 3 to all numbers greater than or equal to 5, then shifting the entire range of bits to the left once. This cycle is repeated as many times as the length of the input bits, for example we have 8 bits and the cycle will be repeated eight times.

The main difference between my converter and the others is that mine is done by a clock that is constantly blinking, and drives the cyclical circulation of a piece of data continuously across exactly the same pair of cells. This method reduces the number of gates, but may be slightly slower and more complicated. While other circuits are mostly built with series connected ROM cells and this results in a simple circuit but a higher gate count compared to mine.

Below I have attached an image of one ROM cell that converts binary code to BCD. There is also a table that describes the behaviour of this cell perfectly.

For a better user experience, don't forget to read the instructions below.

---

INSTRUCTIONS:
1. Reset your device before conversion!
    (RST = Reset button)
2. Enter the binary form of a number!
    (Input binary code)
3. Press the button to start the conversion!
    (BGN = Begin)
4. The clock must be on, it must blink 16 times!
    (CLK = Clock)
5. Read the BCD value!
    (Output BCD)

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Class lab project

A 2x4 Decoder handmade with recipes like no other....

Decoder 3/8 by two Decoder 2/4 with Enable gate