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Logical Electronic ==>

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Memory : Memory With Moving Parts

Memory : Read-Only Memory

Memory : Historical,Nonmechanical Memory Technologies

Memory : Modern Nonmechanical Memory

Memory : Digital Memory Terms And Concepts

Memory : Why Digital?

DIP Gate Packaging

Constructing The NOR Function

Constructing The OR Function

Constructing The NAND Function

Constructing The AND Function

Constructing The "Buffer" Function

Constructing The NOT Function

Tristate Buffer Gate

Special Output Gates

CMOS Bilateral Switch

Buffered And Unbuffered Gates

CMOS OR Gate

CMOS NOR Gate

CMOS AND Gate

CMOS NAND Gate

CMOS Gate Circuitry

Negative Binary Numbers

Binary Addition

Sequential Logic Devices

Boolean Algebra

Digital Computing

Up Down Counter Application

Synchronous Counters

Asynchronous Counters

Binary Count Sequence

Special Output Gates

TTL NOR And OR Gates

TTL NAND And AND Gates

The Negative-OR Gate

The Negative-AND Gate

The NOR Gate

Exclusive-NOR (XNOR) Gate

Switching Logic And Circuits

Hexadecimal Numbers System

Logic - Binary Functions

The Exclusive-OR ( XOR ) Gate

The NAND Gate

The NOT Gate

The OR Gate

The AND Gate

Digital Logic Electronic

47 topics total

Memory : Read-Only Memory

Memory : Historical,Nonmechanical Memory Technologies

Memory : Modern Nonmechanical Memory

Memory : Digital Memory Terms And Concepts

Memory : Why Digital?

DIP Gate Packaging

Constructing The NOR Function

Constructing The OR Function

Constructing The NAND Function

Constructing The AND Function

Constructing The "Buffer" Function

Constructing The NOT Function

Tristate Buffer Gate

Special Output Gates

CMOS Bilateral Switch

Buffered And Unbuffered Gates

CMOS OR Gate

CMOS NOR Gate

CMOS AND Gate

CMOS NAND Gate

CMOS Gate Circuitry

Negative Binary Numbers

Binary Addition

Sequential Logic Devices

Boolean Algebra

Digital Computing

Up Down Counter Application

Synchronous Counters

Asynchronous Counters

Binary Count Sequence

Special Output Gates

TTL NOR And OR Gates

TTL NAND And AND Gates

The Negative-OR Gate

The Negative-AND Gate

The NOR Gate

Exclusive-NOR (XNOR) Gate

Switching Logic And Circuits

Hexadecimal Numbers System

Logic - Binary Functions

The Exclusive-OR ( XOR ) Gate

The NAND Gate

The NOT Gate

The OR Gate

The AND Gate

Digital Logic Electronic

47 topics total

Adding binary numbers is a very simple task, and very similar to the longhand addition of decimal

numbers. As with decimal numbers, you start by adding the bits (digits) one column, or place

weight, at a time, from right to left. Unlike decimal addition, there is little to memorize in the way

of rules for the addition of binary bits

0 + 0 = 0

1 + 0 = 1

0 + 1 = 1

1 + 1 = 10

1 + 1 + 1 = 11

Just as with decimal addition, when the sum in one column is a two-bit (two-digit) number, the

least significant figure is written as part of the total sum and the most significant figure is "carried"

to the next left column. Consider the following examples:

11 1 <--- Carry bits -----> 11

1001101 1001001 1000111

+ 0010010 + 0011001 + 0010110

--------- --------- ---------

1011111 1100010 1011101

The addition problem on the left did not require any bits to be carried, since the sum of bits in

each column was either 1 or 0, not 10 or 11. In the other two problems, there definitely were bits to

be carried, but the process of addition is still quite simple.

As we'll see later, there are ways that electronic circuits can be built to perform this very task of

addition, by representing each bit of each binary number as a voltage signal (either "high," for a 1;

or "low" for a 0). This is the very foundation of all the arithmetic which modern digital computers

perform.

Keywords : Binary, Addition, Logic, Boolean, Algebra

24 Nov 2006 Fri

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