My first project

Implementation of division via subtraction.

Durgesh Pandey

4-Bit Binary Adder Subtractor

DECO Practical Examination

Implement 3-bit parallel Binary Adder/Subtractor.

Instructions: If the LED is blinking, Press the reset button and then only input your values to obtain the difference. The MSB in the output and blinking LED indicate the negative sign.

Magnitude Comparator is used to compare two binary numbers

Binary
BCD
Converter
Code converter
Binary to BCD
Conversion
Serial converter
16-bit converter
16-bit
Computer
Register
Shift register
ROM
Binary coded decimal
Read only memory
Circuit
Full circuit
Double dabble
algorithm
Program
BIN
BIN to BCD
Complete circuit
Binary converter
BCD converter
Binary to decimal
Decoder
Encoder

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)

If you like my project, please give me a star (the button is on the bottom right), because it means a lot to me!

I hope you like the plan. I hope you enjoy the experience.

Serial
BCD
Binary
Register
Shift register
Adder
Full adder
Converter
Conversion
Cyclically
Clock
Multiplier
Compact
Algorithm
Circuit
Full circuit
Program
16-bit
Complete circuit
Computer
Code conversion
BIN
BCD to BIN
Binary coded decimal
Serial input
Accumulator
Serial BCD to BIN
Decimal to binary

Hello,

I have designed a special converter. **Converts a BCD or Binary Coded Decimal number to 16-bit binary logical number**. The special feature is **the surprising sequential entry of numbers**!

This conversion method uses a **small number of logic gates** and the operation is cyclical, so a clock is essential. **Each BCD value entry is equal to one cycle**. The converter consists of a register called the **Accumulator**, a 16-bit full adder and a wire connection that correctly multiplies the number by 10. A small control unit is also needed to monitor the system.

**An Accumulator is a type of register, usually the first one used to store results**.

The device works by **adding a value from 0 to 9 to each BCD input, storing it in a register and then multiplying by 10**. The cycle is repeated for each entry. so, for example, the number 123 in the BCD value 0001 0010 0011 is sent sequentially to the converter. The first number sent will be 0001. The adder will add 0001, then store the value in a register and multiply it by 10 in the binary form 1010, and the result will be 1010. We will then send a second BCD number 0010. This number will be added to the previous stored number 1010 and the resulting number will be 1100. This number is again stored in the register and multiplied by 10 according to the current time, the result will be 1111000. Then send a third BCD value 0011, which is added to the stored value 1111000 to get 1111011. Now read our final result 1111011!

This converter design is quick and easy. Unlike the others, it converts sequential BCD input values and contains a small number of logic gates. Dabble Double algorithms exist for this conversion, but they behave differently.

I have attached a diagram of how the device works below. I hope it will help you with your planning!

INSTRUCTIONS:1. Reset the device before use!

(RST = Reset button)2. Enter the BCD value!

(Inpu BCD)3. After each entry, send the value!

(SND = Send)4. Each entry is equal to one tick of the clock!

(CLK = Clock)5. The error will be logged!

(E = Error)6. Read the binary number!

(Output binary)

If you like my project, please give me a star (the button is on the bottom right), because it means a lot to me!

I hope you like the plan. I hope you enjoy the experience.