# binary numbers

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## binary numbers

In the computer, all data are represented as binary digits (bits), and eight binary digits make up one byte. For example, the upper case letter A is 0101001. Numbers however can take several forms. They can retain their decimal identity or they can be in pure binary form. See binary and ASCII chart.

### Binary Coded Decimal (BCD)

BCD encodes each decimal digit in a single byte. For example, the number 7100 would take four bytes. A variation, called "packed decimal," encodes two decimal digits in one byte, and the number 7100 would take only two bytes. Binary Fixed Point
This method converts the entire decimal number into a binary number. The number 7100 would require at least two bytes as in the example above. Binary numbers are calculated faster than decimal (BCD) numbers. See binary values.

Binary Floating Point
Floating point allows very small fractions and very large numbers to be maintained and calculated quickly. Both the mantissa (significant digits) and the exponent (power to which the base is raised) are in binary. In this above example, the mantissa is 71, and the exponent is 2. See floating point.

```Bytes  Bits   Values
1      8      0 to 255
2      16     0 to 65,535
4      32     0 to 4,294,967,295
```
References in periodicals archive ?
(1)Randomly generating 128 binary number as the key S
A ripple carry adder is a digital circuit that produces the arithmetic sum of two binary numbers. It can be constructed with full adders connected in cascaded with the carry output from full adder in the chain with the interconnection of 32 full adders.
By using 1 x 1-digit binary multipliers and the 2-column-based binary-decimal compressors, fast parallel operations are performed with small size binary numbers. These binary-decimal compressors efficiently reduce the number of partial products to 3 or 4 decimal operands, which simplifies the decimal additions required by the multiplication.
For a gray image, the gray value of each pixel can be represented by an 8-bit binary number. If we use the DNA encoding, then each pixel needs four base sequence encodings.
The IEIEA commences with the building of an initial population, normally by spreading random binary numbers within investigated space.
Next, we transform decimal numbers [x.sub.k] to the form of binary numbers, and consequently we will get [x'.sub.k].
The researchers demonstrated that their transducer can perform long division of binary numbers by 3 and performed an iterative computation.
"Information Technology: An Introduction for Today's Digital World" by Richard Fox (Professor of Computer Science, Northern Kentucky University) is a 546 page compendium covering the extensive spectrum of IT including computer organization and hardware, operating systems, networks, scripting, binary numbers, DOS, Linux, computer security, and a great deal more.
11 In computing, binary numbers are always made up of zero and which other digit?
BITS are strings of binary numbers that tell computers how to complete a job.
My pajamas said "2x2x2" (that equals how old I turned) on the back, and had binary numbers (that's the language that computers speak) 1000 on the front, because in computer language that's eight.
There are also illusions based on complementary numbers, the 9 tricks, and on binary numbers.

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