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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 equal to binary digits?
Binary digits are 'bits'. There are only two of them. It doesn't matter what you call your digits or how you write them, as long as you do all of your binary arithmetic with only two symbols.
How does BCD differ from the straight binary number system?
To consider the difference between straight binary and BCD, the binary numbers need to be split up into 4 binary digits (bits) starting from the units. In 4 bits there are 16 possible values from 0000 to 1111 (0 to 15). In straight binary all of these possible combinations are used, thus: 4 bits can represent the decimal numbers 0-15 8 bits can represent the decimal numbers 0-255 12 bits can represent the decimal numbers 0-4095 16 bits can represent the decimal numbers 0-65535 etc In arithmetic, all combinations of bits are used, thus: 0000 1001 + 0001 = 0000 1010 In BCD or Binary Coded Decimal, only the representations of the decimal numbers 0-9 are used (that is 0000 to 1001 in binary), and the 4-bits (nybbles) are read as decimal digits, thus: 4 bits can represent the decimal digits 0-9 8 bits can represent the decimal digits 0-99 12 bits can represent the decimal digits 0-999 16 bits can represent the decimal digits 0-9999 In arithmetic, only the representations of decimal numbers are used, thus: 0000 1001 + 0001 = 0001 0000 When BCD is used each half of a byte is read directly as a decimal digit. BCD is obviously inefficient as storage (for large numbers) as each nybble is only holding 3/8 of the possible numbers, however, it is sometimes easier and quicker to work with decimal digits (for example when there is lots of display of counting numbers to do there is less binary to decimal conversion needing to be done).
Computers represent numeric data using the number system?
Nearly all computer math is based on variants of binary numbering. Printouts of computer memory data will combine the binary numbers into four bit groups called hexadecimal digits.
Why do digital computer use binary number system?
Binary numbers have only 2 digits, 0 and 1. Binary came from a need to represent information based in magnetics that only offer an "on" or "off" state. Decimal numbers have 10 digits, 0,1,2,3,4,5,6,7,8,9. Decimal numbers came about from humans having 10 fingers to count with. Once they reach 10, they start reusing fingers (digits). When humans count to 3, they count to their 3rd digit. Here's how to count to 3 in binary, which only has 2 digits: 01,10,11 Here's counting to 7 in decimal: 1,2,3,4,5,6,7 Here's counting to 7 in binary: 001,010,011,100,101,110,111 All of the mathematics done in decimal can be done in binary. No matter how fancy computers get, the bottom line is they have to store and manipulate information at a physical level, something physical must store all of that information. In computers, that physical storage is magnetic. All information is stored and manipulated at the lowest level as a combination of large binary values, large combinations of "on" and "off". Scientists are inventing new ways to store information in computers, so perhaps in time computer storage won't be limited to binary values.
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 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 equal to binary digits?
Binary digits are 'bits'. There are only two of them. It doesn't matter what you call your digits or how you write them, as long as you do all of your binary arithmetic with only two symbols.
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.
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.
What numbers is binary made up of?
Binary has all the numbers. Each binary digit can have the value 0 or 1 only.
What binary number?
A binary number is a number in base 2. All numbers are composed of two digits, 0 and 1.So:zero is 0,one is 1,two is 10,three is 11,four is 100 and so on.
How does BCD differ from the straight binary number system?
To consider the difference between straight binary and BCD, the binary numbers need to be split up into 4 binary digits (bits) starting from the units. In 4 bits there are 16 possible values from 0000 to 1111 (0 to 15). In straight binary all of these possible combinations are used, thus: 4 bits can represent the decimal numbers 0-15 8 bits can represent the decimal numbers 0-255 12 bits can represent the decimal numbers 0-4095 16 bits can represent the decimal numbers 0-65535 etc In arithmetic, all combinations of bits are used, thus: 0000 1001 + 0001 = 0000 1010 In BCD or Binary Coded Decimal, only the representations of the decimal numbers 0-9 are used (that is 0000 to 1001 in binary), and the 4-bits (nybbles) are read as decimal digits, thus: 4 bits can represent the decimal digits 0-9 8 bits can represent the decimal digits 0-99 12 bits can represent the decimal digits 0-999 16 bits can represent the decimal digits 0-9999 In arithmetic, only the representations of decimal numbers are used, thus: 0000 1001 + 0001 = 0001 0000 When BCD is used each half of a byte is read directly as a decimal digit. BCD is obviously inefficient as storage (for large numbers) as each nybble is only holding 3/8 of the possible numbers, however, it is sometimes easier and quicker to work with decimal digits (for example when there is lots of display of counting numbers to do there is less binary to decimal conversion needing to be done).
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.
Computers represent numeric data using the number system?
Nearly all computer math is based on variants of binary numbering. Printouts of computer memory data will combine the binary numbers into four bit groups called hexadecimal digits.
Why do digital computer use binary number system?
Binary numbers have only 2 digits, 0 and 1. Binary came from a need to represent information based in magnetics that only offer an "on" or "off" state. Decimal numbers have 10 digits, 0,1,2,3,4,5,6,7,8,9. Decimal numbers came about from humans having 10 fingers to count with. Once they reach 10, they start reusing fingers (digits). When humans count to 3, they count to their 3rd digit. Here's how to count to 3 in binary, which only has 2 digits: 01,10,11 Here's counting to 7 in decimal: 1,2,3,4,5,6,7 Here's counting to 7 in binary: 001,010,011,100,101,110,111 All of the mathematics done in decimal can be done in binary. No matter how fancy computers get, the bottom line is they have to store and manipulate information at a physical level, something physical must store all of that information. In computers, that physical storage is magnetic. All information is stored and manipulated at the lowest level as a combination of large binary values, large combinations of "on" and "off". Scientists are inventing new ways to store information in computers, so perhaps in time computer storage won't be limited to binary values.
How the AND multiplication different from the ordinary multiplication?
A: Humans use the decimal or the 10 numbers systems since i guess we have ten fingers. And we do the mathematics using the ten digit numbers. Computers use the binary system two digits "0" "1" and it recognizes as true or false that is machine language all the computations are based on these two binary numbers
