7. Arithmetic Circuits - Part A
The chapter focuses on various combinational circuits essential for arithmetic operations, including adders, subtractors, and related circuits. It explains how combinational logics like half-adders, full-adders, half-subtractors, and full-subtractors are implemented using Boolean expressions and logic gates. Additionally, it touches on the implementation of more complex circuits such as adders and subtractors using controlled inverters and BCD adders.
Sections
Navigate through the learning materials and practice exercises.
What we have learnt
- Combinational circuits are defined by current inputs and ignore past input states.
- Arithmetic circuits, including half and full adders and subtractors, form the basic building blocks for binary arithmetic.
- Controlled inverters are used to facilitate subtracting binary numbers by adding their 2's complement.
Key Concepts
- -- Combinational Circuit
- A circuit where the output depends only on the current inputs, with no regard to past input states.
- -- HalfAdder
- A circuit that adds two binary digits and provides SUM and CARRY outputs.
- -- Full Adder
- A circuit that adds three binary digits (two bits and a carry) to yield a SUM and a CARRY.
- -- HalfSubtractor
- A circuit that subtracts one binary digit from another and provides DIFFERENCE and BORROW outputs.
- -- Full Subtractor
- A circuit that subtracts two bits and accounts for an input borrow bit.
- -- BCD Adder
- A circuit that adds Binary-Coded Decimal (BCD) numbers and manages carry over between BCD digits.
Additional Learning Materials
Supplementary resources to enhance your learning experience.