What is BCD and how do we write them?
BCD (Binary-Coded Decimal) is a system for encoding Decimal Numbers in binary form to avoid rounding and conversion errors. In BCD coding, each digit of a decimal number is coded separately as a binary numeral. Each of the decimal digits 0 through 9 is coded in four bits, and for ease of reading, each group of four bits is separated by a space. This format, also called 8-4-2-1 after the weights of the four bit positions, uses the following codes:
0000 = 0
0001 = 1
0010 = 2
0011 = 3
0100 = 4
0101 = 5
0110 = 6
0111 = 7
1000 = 8
1001 = 9
0001 = 1
0010 = 2
0011 = 3
0100 = 4
0101 = 5
0110 = 6
0111 = 7
1000 = 8
1001 = 9
Thus, the decimal number 12 is 0001 0010 in binary-coded decimal notation.
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