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What is the base 2 system?
It is often called Binary. There are only 2 symbols, usually "0" and "1". Digital devices often use Binary.
Where hexa decimal number is used?
These are used quite often to represent values stored in bytes - 1 byte is represented as two hexadecimal digits. For example, both the MAC address of a network card and the new IP addresses (IPv6) are usually shown as hexadecimal.
When was binary invented?
The idea of binary code came about in the late 1600s and is often credited to Gottfried Leibniz , a German mathematician and all round clever person. Francis Bacon was using a binary code with letters of the alphabet as a cipher, so aaab aabb etc exactly the same as binary, this is in his book The Advancement of Learning.
How many different numbers are used in the hexadecimal system?
Hexadecimal numbers are used in computing for the convenience of humans since the computer really only understands pure binary. Hex is much more compact than binary since it is based on 16 (the fourth power of 2) instead of 2. Pure binary numbers based on 2 can quickly become unwieldy to write. For example, the three-digit decimal number 513 requires ten digits in pure binary (1000000001) but only three (201) in hex. Representing hex numbers requires sixteen distinct characters compared to the ten used in decimal notation. The sixteen characters that are used are the ten numeric symbols, 0-9, and the first six letters of the alphabet, A-F. The letters are often, but not always, capitalized. Thus, the first ten numbers 0-9 are written the same in both decimal and hex and the equivalents of the decimal numbers 10-15 are indicated by a single letter, ranging from A to F Decimal - Hex 0 - 0 1 - 1 2 - 2 3 - 3 4 - 4 5 - 5 6 - 6 7 - 7 8 - 8 9 - 9 10 - A 11 - B 12 - C 13 - D 14 - E 15 - F 16 -10 17 - 11 18 - 12 19 - 13 20 - 14
What does the word base mean in math?
In a power, such as 25, the number 2 is called the "base", the number 5 is the "exponent".On the other hand, decimal numbers use the "base" 10 (this is also somewhat related to powers, but I won't go into details); instead of the base 10, other bases can be used as well (any integer equal to, or greater than, 2).Base is the number system used. Base 2 has but 0 and 1 (binary)Most often we use Base 10: 0,1,2,3,4,5,6,7,8,9In computers Hexadecimal, Base 16 is common too: 0,1,23,4,5,6,7,8,9,A,B,C,D,E(and even octal, Base 8)To define the base use a subscript:110112 = 338 = 2710 = 1B16
What is 10111010 in hexidecimal?
I assume the number is in binary. Separate the binary number from the right, 4 digits at a time: 1011 1011. Then convert each group of four binary digits to hexadecimal. In this case, 1011 is B, so the answer is 0xBB (the prefix 0x is often used to indicate hexadecimal).I assume the number is in binary. Separate the binary number from the right, 4 digits at a time: 1011 1011. Then convert each group of four binary digits to hexadecimal. In this case, 1011 is B, so the answer is 0xBB (the prefix 0x is often used to indicate hexadecimal).I assume the number is in binary. Separate the binary number from the right, 4 digits at a time: 1011 1011. Then convert each group of four binary digits to hexadecimal. In this case, 1011 is B, so the answer is 0xBB (the prefix 0x is often used to indicate hexadecimal).I assume the number is in binary. Separate the binary number from the right, 4 digits at a time: 1011 1011. Then convert each group of four binary digits to hexadecimal. In this case, 1011 is B, so the answer is 0xBB (the prefix 0x is often used to indicate hexadecimal).
Computers often express numbers in what format?
Base 16 numbering is called 'Hex' or 'Hexadecimal'. Base 8 numbering is called 'Octal'. Base 2 numbering is called 'Binary'.
What is the purpose of the hexadecimal numbering system?
Hexadecimal number system is a number sytem with a Base of 16. The 'regular' system which we use every day is base-ten (decimal), with the digits 0-9.Having a base 16 system makes it easier to represent values of computer memory, as computers deal in binary (base 2), where every value is either one or zero (on or off).With hexadecimal, the digit values range from zero to fifteen, so symbols are needed to represent ten, eleven, ... fifteen as single digits. The letters A through F were chosen, so:A represents tenB = elevenC = twelveD = thirteenE = fourteenF = fifteen
What does binary mean?
Binary means consisting of or relating to 2, especially any kind of system that has two of something. The 'binary system' often means the numerical system that consists only of 0 and 1, as opposed to the decimal system that uses 10 digits. But there are binary stars, two stars that orbit around each other, and the word is used in many other ways as well.
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weekly
Why are octal or hexadecimal number systems used as shortcut notations?
With computers it is often bit (binary digit) patterns that matter and with octal or hexadecimal numbers it is easy to convert them to binary as each digit is represented by an exact number of binary digits (3 for octal, 4 for hexadecimal) without any waste.Using *nix access permissions as an example, the basic permissions are split into 3 groups (Owner, Group, World), each with 3 possible permissions (Read, Write and eXecute). These are stored as a bit pattern: if set the permission is granted, if not set permission is not granted. A file with rwxr-x--x (rwx for owner, r-x for group and --x for world) is stored in binary as 111101001 which can be represented in octal easily by reading it in groups of 3 bits: 111101001 → 111 101 001 = 0751, or in hexadecimal by splitting it into groups of 4 bits: 111101001 → 1 1110 1001 = 0x1e9; but to convert it to decimal requires: 256 + 128 + 64 + 32 + 8 + 1 = 489.Similarly, going the other way: what permissions are represented by 420?420 to binary:420 ÷ 2 = 210 r 0210 ÷ 2 = 105 r 0105 ÷ 2 = 52 r 152 ÷ 2 = 26 r 026 ÷ 2 = 13 r 013 ÷ 2 = 6 r 16 ÷ 2 = 3 r 03 ÷ 2 = 1 r 11 ÷ 2 = 0 r 1→ 420 = 110100100 in binary = rw-r--r--420 in octal is 0644 and in hexadecimal is 0x1a40644 to binary: 110 100 100 → 110100100 as before [much quicker and easier]0x1a4 to binary: 1 1010 0100 → 110100100 again.
Why octal and hexadecimal numbers use extensively by computers' specialists?
Hexadecimal numbers are used in MAC addresses (hardware addresses) in computers. This gives an unlimited number of possible combinations to computer manufacturers. That way each PC in the world has a unique identifier. Esuka Endeley Hexadecimal is a number system using Base 16. It uses the digits from 0 to 9 and the letters from A to F, A=10, B=11, C=12, D=13, E=14, F=15. It enables very large numbers to be written with fewer characters. As computers have very large memories, addressing specific parts of them becomes a big task. Hexadecimal is used as a way of doing so. Sometimes if your computer crashes you will see an error message showing a number with letters in it. Those letters are always between A and F. Basically what it is saying is that there was a problem in memory at this point. Hexadecimal is used in many other ways in computers. One very common purpose is for colour codes in web pages. 6 digits are used, with 2 representing the amount of Red, 2 the amount of Green and 2 for the amount of blue. So if you want a lot of Red, but not much blue or green as a mix for your colour, the code could be something like FF0502. FF represents 255. If you do a web design course, specifically learning to use HTML for creating colours on your pages, you will learn more about this.
Are Memory addresses are most often displayed in the hexadecimal numbering system?
Yes. We could use decimal notation but hexadecimal is more convenient because it requires fewer digits and more closely reflects the way the machine addresses memory using its native binary notation. For instance, a 64-bit address in decimal requires 20 decimal digits (including leading zeroes) but only 16 hexadecimal digits. Moreover, the hexadecimal value can be easily translated into the actual binary value used by the machine because each hex digit maps 1:1 with every nybble of the binary value. A nybble is half-a-byte (4-bits). Since each address typically represents an 8-bit byte, the value of that byte can also be expressed using just 2 hexadecimal digits (00 to FF) whereas decimal notation would require 3 digits (000 to 255). If we used decimal notation to present the contents of a block of memory, then we wouldn't be able to fit as many columns of data on the screen at once. More importantly, when we look at the contents of memory we're generally more interested in what the computer sees, and hexadecimal notation more closely reflects what the computer sees.
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What is the base 2 system?
It is often called Binary. There are only 2 symbols, usually "0" and "1". Digital devices often use Binary.
Why are these octal codes used instead of decimal system?
Octal codes are often used to write the numerical value of a binary number because it is easier to convert from binary to octal, instead of binary to decimal. You can convert to octal on sight, and it simply requires grouping the binary bits into groups of three, whereas converting to decimal requires repeated division by 10102 or 1010. Actually, grouping into three bits is the same as dividing by 1002 or 810 so the process is really the same. Divide by 8 to get octal. Divide by 10 to get decimal.
What is a hexdecimal system?
That is "hexadecimal". The decimal system we often used is based on powers of 10 (each place-value is worth 10 times as much as the one to the right); the hexadecimal system is based on powers of 16, and therefore needs 16 different digits. The "digits" commonly used are the digits 0-9, the "A" for 10, "B" for 11, ... "F" for 15.This is commonly used in computers, as a sort of shorthand for writing binary (base-2) numbers.
