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).
A.N.D. Leibniz defined the binary number system.
A binary system is a special type of a number system. The binary system uses only two digits, other number systems use more.
Binary is base 2, using the digits 0 and 1. Decimal system is base 10 with 0-9.
There are two digits in the binary number system. 0 and 1
There is no decimal number for the binary number 13 because 13 cannot be a binary number.
the binary system is base 2 and the hexadecimal system is base 16
Number System enables enumeration & quantitation of physical objects. For e.g. Binary, Octal, Decimal & Hexadecimal Number Systems.Number Code encodesunique characters with a number ineach Number System. For e.g.In ASCII Codecapital A is represented as 41 in hexadecimal, 65 in Decimal, 101 in Octal and 01000001 in Binary number System.
A.N.D. Leibniz defined the binary number system.
A binary system is a special type of a number system. The binary system uses only two digits, other number systems use more.
What is called the Binary number system. on and off is a binary state.
Binary is base 2, using the digits 0 and 1. Decimal system is base 10 with 0-9.
BIT means binary digit. So it is binary.
There are two digits in the binary number system. 0 and 1
binary number system
Because if it were not, then the name of the system would have to be changed.
There is no decimal number for the binary number 13 because 13 cannot be a binary number.
The binary system is the name given to the base-2 number system.