BASIC (CONVENTIONAL) BINARY-CODED DECIMAL (BCD) CODE:
We now discuss binary codes that are used in mathematical operations of addition, subtraction, multiplication and division. We begin our discussion with the standard binary code that is used to convert decimal numbers into equivalent binary numbers. This is the basic binary number scheme just like the decimal number scheme. Table 1.21 shows this basic binary coding scheme.
In Table 1.21, we have shown binary numbers using 4 bits. The binary numbers using 4 bits can represent decimal numbers from 0 to 15. Now, in an 8-bit representation, the numbers would be from 0 to 127 (i.e., from (0000,0000 to 1111,1111). We can thus use any number of bits to represent decimal numbers. However, the number of bits to be used depends ultimately on the designer.
We now discuss binary codes that are used in mathematical operations of addition, subtraction, multiplication and division. We begin our discussion with the standard binary code that is used to convert decimal numbers into equivalent binary numbers. This is the basic binary number scheme just like the decimal number scheme. Table 1.21 shows this basic binary coding scheme.
Decimal number | Binary equivalent |
0 1 2 3 4 . . . 9 | 0000 0001 0010 0011 0100 . . . 1001 |
In Table 1.21, we have shown binary numbers using 4 bits. The binary numbers using 4 bits can represent decimal numbers from 0 to 15. Now, in an 8-bit representation, the numbers would be from 0 to 127 (i.e., from (0000,0000 to 1111,1111). We can thus use any number of bits to represent decimal numbers. However, the number of bits to be used depends ultimately on the designer.