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Why or why not can all numbers be represented in a binary system?
Wiki User
∙ 14y ago
All numbers can be represented in a binary number system. Binary is the base 2 number system, meaning that there 2 possible values per place: 0 and 1. A decimal system allows for 10: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. In a decimal system, you carry out and add a space once you pass 9. Thus, you end up with a 1 in the second place and a 0 in the first. The first space then counts up again. Similarly, a binary system adds a place when it reaches 2. In a decimal system, there are 10x numbers which can be represented by a system with x places. In binary, there are 2x possible numbers. If the number of places is infinite, an infinite number of values can be represented. Negative numbers can be represented in a variety of ways, from a dash as is commonly used in decimal to a 2's complement to a sign bit (i.e. a 1 or a 0 which will tell the reader or the machine the sign of the number).
Wiki User
∙ 14y ago
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What are two advantages of using binary numbers rather than decimal numbers in a computer system?
Your question is actually flawed...binary system is not used in digital systems... Rather, systems using binary numbers only are called digital systems... It is common knowledge that, digital electronics employs just 2 states (or rather numbers, as mathematicians put it...) the two numbers being '0' and '1'. Obviously, it is easier to design electronic systems dealing with just 2 states...It's majorly this ease, that led to such exponential development in the field of digital electronics. It ios also cheaper to make or produce such systems...
How do you you write know in binary code?
k n o w ? First convert it to ASCII code ... 107 110 111 119 (all decimal numbers) Then convert to binary : 1101011 1101110 1101111 1110111
When converting binary tree into extended binary tree all the original nodes in binary tree are?
will remain same
7 Why is binary code suitable for use with computers?
Binary is well suited for computers because it only needs two symbols to represent numbers a 1 and a 0. In a computer a circuit can be in 2 states on and off hence in the simplest implementation"on" represents a 1 and "off" a 0.
How do you represent a negative number in Binary Coded Decimal?
All I know is that when a number is negative, you convert the decimal into binary and if it is negative you put 1111 before the binary digits.
What are numbers expressed in the decimal system?
All real numbers can be represented in the decimal system. Complex numbers can be represented by a pair of numbers in the decimal system.
Why binary number system used in digital system?
They are the best numbers for computers to use. In simple terms, as computers are electronic they use electronic currents, which can be on or off, like a light switch. 1 and 0, which are the only digits binary has, can be used to represent these two states. Binary forms the basis to all computer memory and operations.
What are the numbers in base 2?
Base two is also referred to as the binary number system.In the decimal system we use 10 different digits (0 to 9) to represent numbers. However, all numbers in binary consist of a combination of only 2 different digits; a "0" and/or a "1".All numbers can be represented using only these 2 digits.
What is the difference of binary and decimal numbers?
-- The decimal system (base-10) uses 10 digits to write all numbers. -- The binary system (base-2) uses 2 digits to write all numbers.
What is binary hexadecimal and octadecimal numbers?
They are all different ways of representing numbers. For example the number 14 in binary would be 00001110, in octal it would be '16', and in hex would be represented by the '0E'
What is the significant of binary system in computer system?
Binary is a number system (just like the decimal system is a number system) that allows all numbers (and thus anything that can be represented by numbers, such as text, pictures, videos, etc) to be represented by only two distinct numbers: 1 and 0. This simplifies computers so that they only have to be able to represent those two numbers, and thus they can be represented by a high voltage and a low voltage, respectively. If a more complex number system were used, computers would need to be so much more complex, so much more precise (and they already are VERY precise), that what we have with computers today would be virtually impossible. So, the binary system made computers the way we know them possible.
How are characters sets and fonts represented in a computer system?
All code and data in a computer system is represented in binary. Characters are represented in a few different ways depending on the language. For the English language, the ASCII character set is perhaps the most common. Using this character set, normally each character is represented by 1 byte (8 bits (8 binary digits)). As an example, a value of 65 is used for A which in binary is 01000001.
Why all digital devices use binary number system?
The binary number system inside the electronics of a computer is generally represented by a high or a low voltage, a charged or uncharged capacitor, or sometimes even a switch that is on or off. That these electronics are generally in either one or the other state, the binary system is the simplest.
What numbers is binary made up of?
Binary has all the numbers. Each binary digit can have the value 0 or 1 only.
What is commutative property of addition using decimal numbers?
The commutative property of addition applies to all real and complex numbers. It has nothing whatsoever to do with the form in which the number is represented: decimal, binary, etc.
How is digital data represented by the binary code?
The Binary code represents all data in 0s and 1s by using a combination of these. Each number system and digital data like characters and other symbols can be represented in binary by a common conversion method for each system. Example: Decimal number 12 is binary number 1100. this is obtained as [1*(2^3) + 1*(2^2) + 0*(2^1) + 0*(2^0)]
Digits in the binary number system?
The only digits in binary (base 2) are 0 and 1. All numbers are represented with those 2 digits. For example: 12 is written as 1100. 33 is written as 100001.
