Arithmetic Circuits

This section introduces arithmetic circuits, focusing on the fundamental components needed for binary addition and subtraction operations.

Combinational Circuits

Combinational circuits are logic circuits where outputs depend solely on the present combination of inputs, without regard to past inputs.

Implementing Combinational Logic

This section outlines the steps involved in designing combinational logic circuits, highlighting the principles behind input-output relationships and Boolean expression minimization.

Arithmetic Circuits – Basic Building Blocks

This section covers the fundamental circuits used to perform binary addition and subtraction, focusing on half-adders and full-adders.

Half-Adder

A half-adder is a fundamental digital circuit designed to add two binary digits, producing a SUM and a CARRY output.

Full Adder

A full adder is a crucial circuit used for adding three bits, producing a SUM and a CARRY output.

Half-Subtractor

The half-subtractor is a combinational circuit used to perform the subtraction of one binary digit from another, producing a difference and borrow output.

Full Subtractor

A full subtractor is a combinational logic circuit that subtracts two binary digits, taking into account any borrow from the previous lower order bit.

Controlled Inverter

The controlled inverter is a crucial component that allows an adder to function as a subtractor by generating the 1’s complement of a binary number.

Adder–subtractor

This section explains how subtraction in binary can be achieved using the addition of the two's complement of the subtrahend, facilitating the operation through combinational circuits.

Bcd Adder

The BCD adder is utilized for adding binary-coded decimal numbers, handling cases where two BCD digits and an input carry may be involved.