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Demonstration of a N x N multiplier with 4-bit numbers.

Demonstration of a N x N divider with 4-bit numbers.

Description:
This project demonstrates a 4-bit divider capable of performing division on two 4-bit binary numbers. The circuit outputs both the quotient (Q) and the remainder (R) of the division. For instance, when dividing 14 by 3, the quotient will be 4 and the remainder (R) will be 2, as 14 = 3 * 4 + 2.

How It Works:
The divider operates by repeatedly subtracting the divisor from the dividend, shifting bits as necessary to align with binary division principles. The quotient is accumulated as the divisor is successfully subtracted from the dividend without the result going negative. The remainder (R) is what’s left of the dividend after the final subtraction, representing the "rest" of the division. This circuit is designed using a combination of adders and control logic to automate this process, illustrating fundamental digital division concepts.

This is a part of a project to construct a 4 BIT CPU from scratch. I will be starting with a simple NOR gate and building it up to a working model with ALU registers, RAM and ROM. I will be designing an op code and assembler to go with it. Progress and detail can be found on my blog here

This file cotains 4 bit versions of basic logic gates.

sdfdgd

studying purpose 

4 Bit Comparator circuit

A - A3 A2 A1 A0    B - B3 B2 B1 B0

A = B when, A3=B3,A2=B2,A1=B1,A0=B0. 

A>B when, A3>B3 OR A3=B3 AND A2>B2 OR A3=B3 A2=B2 AND A1>B1 OR A3=B3 A2=B2 A1=B1 AND A0>B0.

A<B when, A3<B3 OR A3=B3 AND A2<B2 OR A3=B3 A2=B2 AND A1<B1 OR A3=B3 A2=B2 A1=B1 AND A0<B0.

This is My 4 Bit computer with 6 instructions just like the SAP Computer. :)

Instructions:

00 NOP

1x LDA

2x ADD

3x SUB

ee OUT

ff END

Warning:

This computer cannot calculate more than 2 numbers

This Example Program shows 5+7 and 4-5.

To Program, Set the Reset Bit to 1 and Program the ROM.

To Run the Program, Set the Reset Bit to 0.

The Numbers in the output are in Two's Complement so if the number is more than 7 

than the number will be negative because 7 is the biggest number in 4 bits.

My first project on this site!

this 4 bit adder is fully decimal, that means the number you input is decimal and the answer will also be in decimal. 

The circuit consists of a decimal-to-binary converter, an 4 bit adder and a binary-to-decimal converter.

The circuit is made without sub-circuits.

To use the adder, click any number you want on the left and right side of the plus. The answer will appear on the right side, in decimal and binary.

KPGW

The 4-bit adder which can do math on 4-bit integers and display on 2 7-segment LEDs.

This project is owned by Lu Xuan Minh - student of HCMUT.

Everyone can fork my project for the purpose of studying and researching.

Thank you for your viewing!

Lu Xuan Minh

Email: [email protected]

A collection of binary adders with Binary, Hex, and Decimal input and output representation

Four‐bit binary counter with parallel load. Do check it out. It has been tested!

A four bit adder using AND, OR and NOT gates

4-bit Adder with 7 segment displays

5-bit by 4-bit binary divider. This uses binary subtractors and multiplexers to do long division.

This is My 4 Bit computer with 6 instructions just like the SAP Computer. :)

Instructions:

00 NOP

1x LDA

2x ADD

3x SUB

ee OUT

4x OUT_S

ff END

Warning:

This computer cannot calculate more than 2 numbers

This Example Program shows 5+7 and 4-5.

To Program, Set the Reset Bit to 1 and Program the ROM.

To Run the Program, Set the Reset Bit to 0.

The Numbers in the output are in Two's Complement so if the number is more than 7 

than the number will be negative because 7 is the biggest number in 4 bits.