Digital Electronics - Vol 1 | 7. Arithmetic Circuits - Part B by Abraham | Learn Smarter
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7. Arithmetic Circuits - Part B

This chapter delves into the intricacies of arithmetic circuits, focusing on binary addition, BCD addition, and the design of adders and subtractors. It discusses the importance of carry propagation in addition operations, while outlining methods to minimize time delays, such as using look-ahead carry generators. The incorporation of Boolean expressions and example circuits showcases how to implement these concepts practically in digital electronics.

Sections

  • 7

    Arithmetic Circuits

    This section explores arithmetic circuits, focusing on binary adders and BCD adders.

    Learning Practice

  • 7.1

    Four-Bit Adder-Subtractor

    This section discusses the functioning and significance of a four-bit adder-subtractor in binary and BCD operations.

    Learning Practice

  • 7.2

    Bcd Addition

    This section discusses the principles of Binary-Coded Decimal (BCD) addition, outlining the necessary correction methods utilized in the process.

    Learning Practice

  • 7.3

    Single-Digit Bcd Adder

    This section discusses the implementation and functioning of a single-digit Binary-Coded Decimal (BCD) adder, detailing the necessary corrections for valid BCD results.

    Learning Practice

  • 7.4

    Cascaded Bcd Adders

    This section discusses the operation and implementation of cascaded Binary-Coded Decimal (BCD) adders, including how to correct BCD outputs from binary adders.

    Learning Practice

  • 7.5

    Half-Adder Circuit

    This section discusses the half-adder circuit, detailing its functionality in performing simple binary addition, its truth table, and its implementation using logic gates.

    Learning Practice

  • 7.6

    Half-Adder-Subtractor Circuit

    This section discusses the half-adder and half-subtractor circuits, detailing their functions, outputs, and applications in performing binary addition and subtraction.

    Learning Practice

  • 7.7

    Eight-Bit Adder-Subtractor Circuit

    The section discusses the design and functionality of an eight-bit adder-subtractor circuit, particularly in relation to BCD (Binary-Coded Decimal) operations.

    Learning Practice

  • 7.8

    Logic Function Of An Arithmetic Building Block

    This section discusses the logic functions of arithmetic building blocks, focusing on BCD addition using four-bit adders and correction mechanisms.

    Learning Practice

  • 7.9

    Bcd Adder Circuit

    The BCD adder circuit enables the addition of binary-coded decimal (BCD) numbers, specifically handling corrections when their sums exceed 9.

    Learning Practice

  • 7.10

    Carry Propagation

    This section discusses the carry propagation phenomenon in binary addition and introduces look-ahead carry generators to enhance adder efficiency.

    Learning Practice

  • 7.11

    Look-Ahead Carry Generator

    The Look-Ahead Carry Generator aims to reduce carry propagation delays in binary addition, enabling faster arithmetic operations.

    Learning Practice

  • 7.12

    Carry Generation In Full Adders

    This section discusses the methodology of carry generation in full adders, particularly in the context of Binary-Coded Decimal (BCD) addition.

    Learning Practice

References

chapter 7 part B.pdf

Class Notes

Memorization

What we have learnt

  • Addition in binary and BCD ...
  • The carry propagation time ...
  • Boolean expressions can sim...

Final Test

Revision Tests