Download A Textbook of Digital Electronics by R.S. Sedha PDF

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By R.S. Sedha

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Example text

Using division by hand. 125 × 16 = 2 MSD Bottom Since the quotient i1 zero, so we will stop the further division. Reading from bottom to top, the equivalent hexadecimal number of a decimal number 650 is 28A  65010 = 28A16 Ans. Created with Print2PDF.

Example 2-32. Convert the number 49810 to its equivalent hexadecimal number. Solution. Given : The number = 49810 We know that we can use the repeated division by 16 for converting a decimal number to its hexadecimal equivalent . Using division by hand, we get, Top 498 ÷ 16 = 31 31 ÷ 16 = 1 1 ÷ 16 = 0 with a remainder with a remainder with a remainder of 2 15 (= F) 1 LSD MSD Bottom Since the quotient is zero, so we will stop the further division. Reading the remainders from bottom to top, the hexadecimal number is 1F2.

Octal-to-Decimal Conversion The octal-to-decimal conversion is a useful tool in the field of digital electronics (or computers). Let us study how the conversion from octal to decimal is done. Since the octal number system has a base of eight, each successive digit has a position weight of 80, the next higher digit has a position weight of 81, the next of 82 and so on. For a fractional octal, the first digit to the right of octal point, has a position weight of 8-1, the next has a position weight of 8-2, the next 8-3 and so on.

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