A Textbook of Digital Electronics by R.S. Sedha

By R.S. Sedha

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45 = 32 + 8 + 4 + 1 25 + 23 + 22 + 20 Placing 1s in the appropriate weight positions 25, 23, 22 and 20 05 in the 24 and21 positions determine the binary number for decimal 45 25 24 23 22 21 20 1 0 1 1 0 1  4510 = 1011012 The fractional part of decimal number is converted in binary form by multiplication by 2 method. 976 with a carry with a carry with a carry with a carry with a carry with a carry with a carry 0 1 0 1 1 1 0 LSB MSB Bottom And so on …. 010111)2 Ans. Created with Print2PDF. com/ 60 A TEXTBOOK OF DIGITAL ELECTRONICS Example 2-45.

As you are probably aware, long binary numbers are difficult to read and write Created with Print2PDF. com/ 46 A TEXTBOOK OF DIGITAL ELECTRONICS because it is easy to drop or transpose a bit. Since computers and microprocessors understand only 1s and 0s, it is necessary to use these digits when you program in “machine language”. Imagine writing a bit instruction for a microprocessor system in 1s and 0s. It is much more efficient to use the hexadecimal or octal. Hexadecimal is frequently used in computer and microprocessor applications.

The 16 digits are 0, 1, 2, 3,…7, 8, 9, A, B, C, D, E and F. Most digital systems process binary data in groups that are multiples of four bits, making the hexadecimal number very convenient because each hexadecimal digit represent a 4-bit binary number as shown in Table 2-4. Table 2-4. , D716 or D7H). The use of subscript is more common while solving tutorial problems whereas the use of letter H is more common while writing computers programs. , 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1A, 1B, 1C, 1D, 1E, 1F, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 2A, 2B, 2C, 2D, 2E, 2F, 30, 31……and so on.

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