A Textbook of Digital Electronics by R.S. Sedha

By R.S. Sedha

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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. Example 2-5. Find the decimal forms for the two binary numbers: 11012 and 101112 (Gauhati: University 2007) Solution. Given: the binary number = 1101 Binary number 11012 Step 1. 1 1 0 1 Step 2. 23 22 21 20 Step 3.

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. Following is the procedure for converting a given binary number to its octal conversion. In order to illustrate the procedure, consider the conversion of 100111010 to octal. 100 111 010 } } } 4 7 2  1001110102 = 4728 Ans. Let us consider another example, the conversion of 011010110 of octal. 011 010 110 } } } 3 2 6 Note that we formed 3- bit combination while moving right to left by starting from the right most position.

16+2 16+1 16 + 0 Step 3.  (A× 16+2) + (8 × 16+1) + (5 × 16+0) = (A × 256) + (8 × 16) + (5 × 1) = (10 × 256) + (8 × 16) + (5 × 1) = 2560 + 128 + 5 = 2693 A8516 = 269316 Ans. Created with Print2PDF. com/ NUMBER SYSTEMS AND CODES 49 (c) Given : The given hexadecimal number Step 1. E 5 Step 2. 16+1 16+0 Step 3.  (E× 16+1) + (5 × 16+0) = (E × 16) + (5 × 1) = (14 × 16) + (5) = 224 + 5 = 229 E516 = 269316 Ans. 2-25. Decimal-to-Hexadecimal Conversion It is a systematic way of converting numbers from decimal to hexadecimal.

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