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
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.
*formed using simulator.
Encoder, Decoder, Convertor, Full Adder using Decoder
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 |