It's basically the algorithm to break a number down to digits. Then each digit would be represented as a natural binary number on its own.
To break it down to digits, get a remainder after division with 10 (that's the last digit), then divide the number by 10 to remove that digit. Repeat until there are digits, and store each one into an array (or print them to screen without storing).
BCD is a decimal number. BCD is one specific way to store decimal numbers in computer memory.
12
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.
explain decimal to BCD encoder
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 (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.
it is used for representing decimal numbers in which each decimal digit is represented by a sequence of binary digits. This makes it relatively easy to convert the numeric representation for printing or display purposes, and speeds up decimal calculations.
Example Binary 00111000 Convert to Decimal 56 Convert to BCD by using groups of four binary numbers for each digit 5 6 0101 0110
explain decimal to BCD encoder
Many non-integral values, such as decimal 0.2, have an infinite place-value representation in binary (.001100110011...) but have a finite place-value in binary-coded decimal (0.0010)[bcd]. Consequently a system based on binary-coded decimal representations of decimal fractions avoids errors representing and calculating such values. Rounding at a decimal digit boundary is simpler in BCD. Addition and subtraction in decimal does not require rounding.
BCD is a decimal number. BCD is one specific way to store decimal numbers in computer memory.
Binary coded decimal (BCD) is easier to convert between displayed or printed form than is pure binary.
BCD of 862 is 100001100010
Write a program to convert a 2-digit BCD number into hexadecimal
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.