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...
1. Binary computers do not understand decimal. The native language of a binary computer is binary language. Thus if we wish to avoid unnecessary computations converting to and from decimal encodings, we must represent all numbers using binary.
2. Decimal computers are complicated. While it is possible for a computer to differentiate between 10 possible states and thus work with native decimal values, logic circuits are much easier to implement when there are only two possible states to consider. Arithmetic is the application of pure logic, thus arithmetic circuitry is greatly simplified as a result.
The advantage of binary numbers is that they can be electronically stored in the form of magnetic fields. Magnetic fields have two different poles, north and south, and so these two poles can represent the two numbers of a binary system. Magnetic fields can be manipulated very rapidly and accurately by computers. So far it is the most broadly useful system that we have for data processing. This does not rule out the possibility that we will someday devise an even more useful system.
The computer can understand it, besides that their are no advantages.
Binary number system used in digital logic because of the simplest nature of its representation.
It is a decade counter with a binary to decimal translator meaning it can take binary and turn it into decimal numbers for example a seven segment display
Decimal 30 = binary 11110. The decimal binary code (BCD), however, is 11 0000.
BAD16: Binary = 10111010110100010110 Decimal = 765206
Ever wonder what the real numbers are? Numbers are artificial things invented by human, and the same applied to computers. So, the inventors of computers storing human readable numbers (decimal, Roman numerals, etc...) as computer readable numbers (binary). Binary fit very well with the electrical pulses (on and off, as 1 and 0)
Computers do not understand decimal notation. All information (both instructions and data) must be converted to a binary representation before the machine can understand it. We use the symbols 0 and 1 (binary notation) but the machine has a variety of physical representations it can use to encode binary data, including transistors, flux transitions, on/off switches and so on.
decimal computer
a) 6401 in Binary is 1100100000001b) 1010110 in decimal is 86
It is 127 in decimal numbers.
A remainder is the numbers after a decimal point; sometimes used as repesenting in binary to get a binary number from a decimal number.
To ensure they are read as binary numbers and not decimal numbers.
Guessing you are referring to ABC, binary. 50 bit binary numbers If you meant instead the Harvard Mark I, decimal. 23 digit decimal numbers. Both computers were completed in 1942.
easy, 1011. in binary of course. convert 1011 binary to decimal you get 11.
1001 base 2 = 9 base 10
Decimal 2010 = Binary 11111011010.
212 (decimal) is 11010100 (binary)
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