BCD is a decimal number. BCD is one specific way to store decimal numbers in computer memory.
1111 can't be used for Binary Coded Decimal (BCD) because 1111=15 which is made of 2 digits 1 and 5. In BCD a 4-digit binary number is used for every decimal digit. ex. 1111 is incorrect 1 = 0001 5 = 0101 Answer: 0001 0101
BCD, which stands for Binary Coded Decimal. 4 bits are used to code each decimal digit. So we have 0000 for zero, up to 0111 for seven, then 1000 for eight and 1001 for nine. The others {ten through fifteen} are not used, as those numbers are formed from additional decimal digits. So if you wanted to form twelve, in BCD it is 0001 0010, for 12{base ten}
In Cobol, they had a serious concern for memory size. So they came up with a method known as BCD (Binary Coded Decimal), where a decimal value was converted to binary to save space. Check this link out. It will break down the details.
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).
explain decimal to BCD encoder
explain decimal to BCD encoder
An encoder is a digital circuit which accepts one of the inputs and converts it into BCD or Binary Coded Output. It performs the reverse function of that of a decoder.
BCD can be converted into 7segment display by using an encoder.
BCD is a decimal number. BCD is one specific way to store decimal numbers in computer memory.
41 in decimal is 0100 0001 in BCD (this is 8 bits not 6 bits)41 in decimal is 101001 in binary (this is 6 bits, but binary not BCD)There is no 6 bit BCD representation of the decimal number 41!
BCD of 862 is 100001100010
BCD (Binary Coded Decimal) output can be generated using decimal-to-BCD conversion algorithms. One common method involves dividing the decimal number by 10 and storing the remainder as the Binary Coded Decimal digit. This process is repeated until all decimal digits are converted into BCD form. Alternatively, some microcontrollers have built-in instructions to directly convert decimal numbers to BCD format.
A 4 BCD code is a 4 decimal-digit BCD code, thus a 16 digit binary-code. You take the decimal number 3545. It's BCD code is 0011 0101 0100 0101 where every 4 bits represent a decimal digit.
5 per 4 bits, so anything over, but not including, 1001
BCD is used for binary output on devices that only display decimal numbers.
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