Digital-electronics 简明教程
Binary to Decimal Converter
一种用于将数据从二进制格式转换为十进制格式的代码转换器类型称为二进制到十进制转换器。
A type of code converter used to convert data from binary format to decimal format is called a binary-to-decimal converter.
二进制到十进制转换器的输入是以 0 和 1 格式表示的数字。然后，转换器使用算法将输入二进制数转换为等效的十进制数。最后，它生成十进制代码作为输出。
The input to the binary-to-decimal converter is a number represented in a format of 0s and 1s. Then, the converter uses an algorithm to convert the input binary number into an equivalent decimal number. Finally, it generates a decimal code as output.
现在，让我们了解二进制到十进制转换器的逻辑电路实现。
Let us now understand the logic circuit implementation of a binary-to-decimal converter.
truth table of a two-bit binary-to-decimal converter 如下所示。
The truth table of a two-bit binary-to-decimal converter is given below.
Binary Input |
Decimal Output |
B1 |
B0 |
0 |
0 |
Q0 |
0 |
1 |
Q1 |
1 |
0 |
Q2 |
1 |
1 |
Q3 |
现在，让我们针对每个十进制输出导出逻辑表达式。
Let us now derive the logical expression for each of the decimal outputs.
\mathrm{Q_{0} \: = \: \overline{B_{1}}\: \cdot \:\overline{B_{0}}}
\mathrm{Q_{1} \: = \: \overline{B_{1}}\: \cdot \: B_{0}}
\mathrm{Q_{2} \: = \: B_{1} \: \cdot \:\overline{B_{0}}}
\mathrm{Q_{3} \: = \: B_{1} \: \cdot \: B_{0}}
二进制转十进制转换器的逻辑电路图如下所示。
The logic circuit diagram of the binary-to-decimal converter is shown in the following figure.
该电路将一个 2 位二进制数字转换成等效的十进制数字。但是，我们可以按照相同的方式为任何位数实现二进制转十进制转换器。
This circuit converts a 2-bit binary number into an equivalent decimal number. However, we can implement the binary-to-decimal converter for any number of bits in the same way.