By R.S. Sedha
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Additional resources for A Textbook of Digital Electronics
Step 1. 0. 1 2 Step 2. 16-1 16-2 Step 3. 0703 Ans. Example 2-28. Convert the hexadecimal number 2A616 to its equivalent decimal number. Solution. Given : The hexadecimal number = 2 A6 We know that to convert 2A6 to its equivalent decimal number, we will multiply the decimal value of each hexadecimal digit by its position weight and then table the sum of these products. Step 1. 2 A 6 Step 2. 16+2 16+1 16+0 Step 3. (2 ×16+2) + (A × 16+1) + (6 × 160) = (2 × 256)+ (10 × 16) + (6 × 1) = 678 2A616 = 67810 Ans.
513)10 to octal (Anna University, Nov/Dec 2007) Solution. 406)8 Ans. Example 2-23. 75 to octal. , Dec 2009) Solution. 75 We know that we can covert the integer part of the given number of its equivalent octal by the repeated division by 8 method. Whereas the fractional part is to be converted to its equivalent octal by the repeated multiplication by 8 method. 5 × 8 = 4 3910 = 478 Bottom Conversion of fractional part Created with Print2PDF. 68 Ans. 2-21. Binary-to-Octal Conversion Conversion of a binary integer number to an octal integer number is the reverse of the octal-tobinary conversion.
The first remainder to be produced is the least-significant digit (LSD) in the hexadecimal number and the last remainder to be produced is the most-significant digit (MSD). In other words, reading the remainders from bottom-to-top constitutes the hexadecimal number. Note that any remainders that are greater than 9 are represented by the letters A through F. If a calculator is being used to perform the divisions in the conversion process, the results will include a decimal fraction of a remainder.
A Textbook of Digital Electronics by R.S. Sedha