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By R.S. Sedha

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Example text

100111110010  9F 216 = 1001 1111 00102 Ans. Step 2. 0010 6 1010 0110 001010100110 } Step 3. A } 2 } Step 1. } (b) Given : The hexadecimal number = 2 A 6. Drop off the leading zeros  2 A 616 = 10101001102 Ans. 2-27. e. reverse of the process for hexadecimal to-binary conversion. The procedure for converting hexadecimal number to its binary equivalent is as follows: Step 1. Write the binary number. Step 2. Starting from the right most position, group the binary number into groups of fourbits. If necessary, we can add zeros at the left-most position.

Solution. (a) Given : The binary number = 10100110. Step 1. 1 0 1 0 0 1 1 0 1010 0110 Step 3. A 6 } } Step 2.  101001102 = A616 Ans. (b) Given : The binary number = 1111110000 1 1 1 1 1 1 0 0 0 0 } Step 1. 0000 F 0 } 1111 } } Step 2. 0011 Two zeros added to form 4-bit group Step 3. 3  11111100002 = 3 F 016 Ans. Example 2-37. 101)2 into hexadecimal number. , May 2009) Solution. 1101 Step 1. 1 0 0 11 Step 2. 0 0 0 1  Step 3.  1 . D16 Ans. Example 2-38. Convert the following number into hexadecimal and decimal.

The procedure for conversion is as given below: Step 1. Begin by dividing the given decimal number by 2. Step 2. Devide each resulting quotient by 2 until there is a 0 whole number quotient. Step 3. The remainders generated by each division form the binary number. The first remainder to be produced is the least significant bit (LSB) in the binary number, and the last remainder to be produced is the most significant bit (MSB). In other words, reading the remainders from bottom-to-top constitutes the required binary number.

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