2nd October 2019

blogspot

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# Why do we use hexadecimal numbers instead of binary numbers?

The main reason why

**we use hexadecimal**numbers is because it is much easier to express**binary**number representations in**hex**than it is in any other base number system. Computers**do**not actually work in**hex**(don't laugh, beginning students**do**ask that question). Lets look at an example,**using**a byte.Why is all data stored in binary form on a computer?

**Binary**is a mathematical number system: a way of counting. We have all learned to count using ten digits: 0-9. One probable reason is that we have ten fingers to represent numbers. The

**computer**has switches to represent

**data**and switches have only two states: ON and OFF.

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## Why do programmers use hexadecimal instead of binary to represent numbers?

The

**hexadecimal**system**is**commonly used by**programmers**to describe locations in memory because it can**represent**every byte (i.e., eight bits) as two consecutive**hexadecimal**digits**instead**of the eight digits that**would**be required by**binary**(i.e., base 2)**numbers**and the three digits that**would**be required with decimal2

## What is the importance of hex numbers in a computer system?

**Hexadecimal**is the easiest way to write down binary

**numbers**in a compact format. One

**important**reason is because hex is ALOT shorter and easier to read than binary is for humans.

**Hexadecimal number**is very easy to convert the

**numbers**into binary, octal,and decimal

**system**also.

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## What is the relationship between binary and hexadecimal?

The only rule you need to remember to convert from hexadecimal to binary is that one hexadecimal

**digit**always poduces four binary**digits**. Because of this rule, there is a one to one relationship between a hexadecimal**digit**and a**grouping**of four binary**digits**.4

## How many digits are in the hexadecimal system?

The hexadecimal numeral system, also known as just hex, is a numeral system made up of

**16**symbols (base**16**). The standard numeral system is called decimal (base 10) and uses ten symbols:**0**,1,2,3,4,5,6,7,8,9. Hexadecimal uses the decimal numbers and includes six extra symbols.5

## What is the hex number?

The

**hexadecimal numbers**are 0-9 and then use the letters A-F. We show the equivalence of binary, decimal, and**hexadecimal numbers**in the table below.**Hexadecimal**is a convenient way to express binary**numbers**in modern computers in which a byte is almost always defined as containing eight binary digits.6

## How do you convert decimal to hexadecimal?

**Steps:**

- Divide the decimal number by 16. Treat the division as an integer division.
- Write down the remainder (in hexadecimal).
- Divide the result again by 16. Treat the division as an integer division.
- Repeat step 2 and 3 until result is 0.
- The hex value is the digit sequence of the remainders from the last to first.

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## What is hex code?

A color

**hex code**is a way of specifying color using**hexadecimal**values. The**code**itself is a**hex**triplet, which represents three separate values that specify the levels of the component colors. The**code**starts with a pound sign (#) and is followed by six**hex**values or three**hex**value pairs (for example, #AFD645).8

## How a picture is stored in a bitmap file?

**Bitmap**(or raster) images are

**stored**as a series of tiny dots called pixels. Each pixel is actually a very small square that is assigned a color, and then arranged in a pattern to form the

**image**. When you zoom in on a

**bitmap image**you can see the individual pixels that make up that

**image**.

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## Why do we use the binary system?

**Binary**in Digital

**Computers**and Electronic Devices. Numbers can be encoded in

**binary**format and stored using switches. In a

**computer**, switches are implemented using transistors. The smallest memory configuration is the bit, which can be implemented with one switch.

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## What is the total number of characters that can be encoded in ascii?

Of course, the internal machine representation of characters is in equivalent binary form. The ASCII table has

**128**characters, with values from 0 through 127. Thus, 7 bits are sufficient to represent a character in ASCII; however, most computers typically reserve 1 byte, (**8**bits), for an ASCII character.11

## What is the binary representation for decimal value of 22?

DECIMAL NUMBERS IN BINARY

0 | 0 |
---|---|

22 | 10110 |

23 | 10111 |

24 | 11000 |

25 | 11001 |

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## What is a binary and where is it used?

A

**binary**code represents text, computer processor instructions, or any other data using a two-symbol system. The two-symbol system**used**is often the**binary**number system's 0 and 1. The**binary**code assigns a pattern of**binary**digits, also known as bits, to each character, instruction, etc.13

## What is binary base?

In mathematics and digital electronics, a binary number is a number expressed in the base-

**2**numeral system or binary numeral system, which uses only**two**symbols: typically**0**(zero) and 1 (one). The base-**2**numeral system is a positional notation with a radix of**2**. Each digit is referred to as a bit.14

## What is Denary to binary?

**Denary**, also known as "decimal" or "base 10," is the standard number system used around the world. It uses ten digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) to represent all numbers.

**Denary**is often contrasted with

**binary**, the standard number system used by computers and other electronic devices.

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## What is meant by the term overflow error?

An

**error**that occurs when the computer attempts to handle a number that is too large for it. Every computer has a well-defined range of values that it can represent. If during execution of a program it arrives at a number outside this range, it will experience an**overflow error**.16

## How can overflow be detected?

Arithmetic operations have a potential

**to**run into a condition known as**overflow**. When two signed 2's complement numbers are added,**overflow**is**detected**if: both operands are positive and the result is negative, or. both operands are negative and the result is positive.17

## What is the overflow flag?

In computer processors, the

**overflow flag**(sometime called V**flag**) is usually a single bit in a system status register used to indicate when an arithmetic**overflow**has occurred in an operation, indicating that the signed two's-complement result would not fit in the number of bits used for the operation (the ALU width).18

## When the parity flag is set?

In computer processors the parity flag indicates if the number of set bits is odd or even in the binary representation of the result of the last operation. It is normally a

**single**bit in a processor status register. For example, assume a machine where a set parity flag indicates even parity.