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Why can't 1111 be used in a BCD number?
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
What is a number system in which each decimal digit is coded individually into binary?
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}
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).
Why in bcd to excess 3 conversion binary valus are taken up to 9 only?
because 9 is a lucky number for bcd..............ha ha ha
What is packed decimal in cobol?
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.
