By R.S. Sedha
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Extra resources for A Textbook of Digital Electronics
1010 to decimal. Created with Print2PDF. com/ NUMBER SYSTEMS AND CODES Step 1. 27 1 0 1 0 Step 2. 2-1 2-2 2-3 2-4 Step 3. 2-1 2-2 2-3 2-4 Step 4. 0. 625 10 Ans. Example 2-3. 1100 to its equivalent decimal number. Solution. 1100 Step 1. 1 1 0 0 Step 2. 2-1 2-2 2-3 2-4 Step 3. 2-1 2-2 2-3 2-4 Step 4. 0. 7510 Ans. Example 2-4. 0110 to its equivalent decimal number. /Dec. 2007) Solution. 0110 Step 1. 1 1 0 1 . 0 1 1 0 Step 2. 23 22 21 20 2-1 2-2 2-3 2-4 Step 3. 23 22 21 20 2-1 2-2 2-3 2-4 Step 4. 37510 Ans.
1668 Ans. 2-29. Octal-to-Hexadecimal Conversion Like hexadecimal-to-octal there are two methods for converting octal-to-hexadecimal. The first method is to convert the given octal number to its binary equivalent and then from binary to hexadecimal. The second method is to convert octal-to-hexadecimal first and then from decimal-tohexadecimal. However the first method is much simpler and convenient. The procedure for conversion from octal-to-hexadecimal is as given below: Step 1. Write the octal number.
Example 2-31. Convert the number 15110 to its equivalent hexadecimal number. Solution. Given : The number = 15110 Created with Print2PDF. com/ 50 A TEXTBOOK OF DIGITAL ELECTRONICS We know that we can use the repeated division by 16 for converting a decimal number to its haxadecimal equivalent. Using division by hand, we get, Top 151 ÷ 16 = 9 with a remainder 7 LSD 9 ÷ 16 = 0 with a remainder 9 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 97.