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binary_to_bcd [2021/01/28 15:47] gongyusu |
binary_to_bcd [2021/01/28 16:41] (当前版本) gongyusu |
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| Binary coded decimal uses four bits per digit to represent a decimal number. For example the number 159 in decimal takes 12 bits to represent. This is useful for applications that interface to 7-Segment LEDs, among other things. The reason for this is that each 7-Segment display is treated individually (each gets 4 bits of the 12 bit number in the example above). The FPGA designer needs to know how to drive each digit, and uses BCD to do this. The table for BCD is below. | Binary coded decimal uses four bits per digit to represent a decimal number. For example the number 159 in decimal takes 12 bits to represent. This is useful for applications that interface to 7-Segment LEDs, among other things. The reason for this is that each 7-Segment display is treated individually (each gets 4 bits of the 12 bit number in the example above). The FPGA designer needs to know how to drive each digit, and uses BCD to do this. The table for BCD is below. | ||
| - | BCD and Decimal Numbers | + | | BCD和十进制数值 | |
| - | BCD Decimal | + | |BCD|十进制| |
| - | 0000 0 | + | |0000|0| |
| - | 0001 1 | + | |0001|1| |
| - | 0010 2 | + | |0010| 2 | |
| - | 0011 3 | + | |0011| 3 | |
| - | 0100 4 | + | |0100| 4 | |
| - | 0101 5 | + | |0101| 5 | |
| - | 0110 6 | + | |0110| 6 | |
| - | 0111 7 | + | |0111| 7 | |
| - | 1000 8 | + | |1000| 8 | |
| - | 1001 9 | + | |1001| 9 | |
| - | others undefined | + | |其它|未定义| |
| Let's look at 159. The hundreds digit 1 is represented in binary by 0001. The tens digit 5 is represented in binary by 0101. The ones digit 9 is represented in binary by 1001. The entire number 159 in BCD is therefore: 000101011001. However 159 in binary is represented by 10011111. Again we need a way to convert this binary number 10011111 to its BCD equivalent 000101011001. To do this, we will use the Double Dabble algorithm. | Let's look at 159. The hundreds digit 1 is represented in binary by 0001. The tens digit 5 is represented in binary by 0101. The ones digit 9 is represented in binary by 1001. The entire number 159 in BCD is therefore: 000101011001. However 159 in binary is represented by 10011111. Again we need a way to convert this binary number 10011111 to its BCD equivalent 000101011001. To do this, we will use the Double Dabble algorithm. | ||