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What is the common property of decimal octal binary and hexadecimal?
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What is the commutative property in math?
The commutative property of a binary operator states that the order of the operands does not affect the result. Thus x ^ y = y ^ x where ^ is the binary operator. Addition and multiplication of numbers are two common operators that are commutative. Subtraction and division are two common ones that are not commutative.
What is 1101 1001 in decimal?
Conversion from Binary to Decimal is easy if you use this common method: Assign a decimal value to each place of the binary number starting with 1 at the right-hand digit. Double each decimal value going right to left <== for each remaining binary digit, 1's and 0's. Add up the decimal numbers that correspond to 1's in the binary number. 1, 1, 0, 1, 1, 0, 0, 1 binary 128, 64, 32, 16, 8, 4, 2, 1 = 128+64+16+8+1 = 217 decimal
Hexadecimal numbers are often preceded by what so that a value containing only numerals is not mistaken for a decimal number?
In software, they're often preceded with "0x". Note that the first character there is a zero, not the letter O.For example:0x10 = 16 in decimal.Other common notations (outside of software) include:101610h
How many types of logarithm?
Natural log Common log Binary log
What is the least common multiple of 9x 15x?
A decimal number
What are four common number formats?
Decimal, binary, octal and hexadecimal.
What is the change of base formula?
In math, that may either refer to changing the base of the number system (for example, change from decimal (base 10) to binary (base 2)); or it may refer to changing logarithms, from one base to another - for example, common (base-10) logarithms to natural (base-e) logarithms.
What is a very simple difference between your common decimal system and the computers binary system?
The Binary system uses only the numbers 1 & 0. The decimal system has "dots" in them example of decimal: 1.25
What is the significance of hexadecimal What is the significance of binary Who are they used by?
Binary (base-2) and hexadecimal (base-16) are commonly used by programmers. Binary computers only understand binary encodings. That is, all information (both instructions and data) must be converted into a numeric value; digital information. Humans like to use decimal notation whenever possible, but in order to program a computer in its own native language we must convert all values to binary, the only language the computer actually understands. However, binary is difficult to work with because there are only two symbols: 0 and 1. Decimal, on the other hand, has ten symbols, 0 to 9, so we can easily notate all values from 0 to 9 using just one digit. In binary we would need at least 4 digits to notate the same range of numbers. Thus binary numbers tend to be much longer than their decimal equivalents and are difficult for humans to comprehend; a single digit in the wrong place is much harder to spot. Although we can program the computer to convert decimal notation to native binary, this has a runtime cost because there is no direct conversion between decimal and binary notation. But base-2 is directly related to all bases that are themselves a power of 2. Thus quaternary (base-4), octal (base-8) and hexadecimal (base-16) are all directly related to binary and are therefore more easily converted back and forth than is decimal. We use hexadecimal because it has relatively few symbols (16), and each hex digit maps 1:1 with a group of 4 bits. Since 4 bits is half a byte we call hexadecimal digits nybbles. Since two nybbles make a byte, we can represent any group of 8 bits with just two symbols instead of 8 binary digits. Octal is also used because it allows us to map bits in groups of 3, which can be useful in systems that use a 9-bit byte rather than the more common 8-bit byte, but is also useful when we need to work in base-8 itself.
A in hex equals this in decimal?
10 In the hexadecimal number system (commonly referred to as hex), A follows 9 as a digit. In decimal (the common number system), 10 (a two digit number) follows 9.
What is the commutative property in math?
The commutative property of a binary operator states that the order of the operands does not affect the result. Thus x ^ y = y ^ x where ^ is the binary operator. Addition and multiplication of numbers are two common operators that are commutative. Subtraction and division are two common ones that are not commutative.
What is 1101 1001 in decimal?
Conversion from Binary to Decimal is easy if you use this common method: Assign a decimal value to each place of the binary number starting with 1 at the right-hand digit. Double each decimal value going right to left <== for each remaining binary digit, 1's and 0's. Add up the decimal numbers that correspond to 1's in the binary number. 1, 1, 0, 1, 1, 0, 0, 1 binary 128, 64, 32, 16, 8, 4, 2, 1 = 128+64+16+8+1 = 217 decimal
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.
How do you represent character by bytes?
Characters are first given an internationally agreed decimal value. The decimal value is converted to binary by the computer. For example... the decimal value for the letter A is 65... this converts to binary as 1000001
Mac address is presented in which format?
MAC addresses are common writen as a hexadecimal address.MAC addresses are common writen as a hexadecimal address.MAC addresses are common writen as a hexadecimal address.MAC addresses are common writen as a hexadecimal address.
What is a A counting base of 10?
A counting base of ten is the system of counting we are most accustomed to. Numbers 0-9, 10-19, 20-29, etc.other common counting bases include 2 and 16(Binary and hexadecimal respectively).
What is the importance of an octal number?
Why do we use Octal? Octal comes into a close second. In octal, you can represent, at most, 3 bits with a single octal digit. So it's very easy to say 311 is 11 001 001. The problem with octal, as you can see, is that the 3rd octal digit can only goes as high as 3, so it does not represent a byte as cleanly as hex. Octal is used in Unix for permissions due to its 3-bit nature. If we take the three specific entitlements (read, write, execute) for a file, we find that it coincides very well with octal. That's why you see those really funky "chmod 744" commands, because they are octal representation of permissions, 111 100 100, or R-W-E, Read, Read for owner, group, world respectively (at least that is how it was explained to me). The leftmost bit represents the read flag, the middle one represents the write flag, and the rightmost flag represents execute. So if you wanted the permission for read-write, it would be 110, or 6. Read and execute would be 101 or 5. Additional Answer: Since Octal (base-8) and Hexadecimal (base-16) are powers of two, that means they map directly to binary. For instance, each character in a base-16 number corresponds to 4 bits. So if I have a 4-byte (32-bit) number in hex, I could write out the binary sequence without really thinking about it. Also, one digit could change, and it would only change those corresponding 4 bits. In decimal, changing one digit can change many or all of the bits. This is why it is easier for programmers to use Hex, because it is a direct representation of the binary sequence. I believe we adopted the decimal system because we have 10 fingers. In actuality, hexadecimal would be a much better system for everyone to use. Society as a whole would be more mathematically inclined if they began learning hex when they were children, and we just did away with decimal altogether. Hexadecimal is much more natural than decimal. Octal and hexadecimal numeration systems would be pointless if not for their ability to be easily converted to and from binary notation. Their primary purpose in being is to serve as a "shorthand" method of denoting a number represented electronically in binary form. Because the bases of octal (eight) and hexadecimal (sixteen) are even multiples of binary's base (two), binary bits can be grouped together and directly converted to or from their respective octal or hexadecimal digits. With octal, the binary bits are grouped in three's (because 23 = 8), and with hexadecimal, the binary bits are grouped in four's (because 24 = 16). Incidentally, hexadecimal notation is more popular, because binary bit groupings in digital equipment are commonly multiples of eight (8, 16, 32, 64, and 128 bit), which are also multiples of 4. Octal, being based on binary bit groups of 3, doesn't work out evenly with those common bit group sizing's.
