## 21/03/2020

### Digital Numbering System Interview Question Answer - 2

 17 Which are the methods of binary division? Method of Binary Division Paper method Computer method 18 Describe the significance of Sign bit? Significance of sign bit The sign bit is placed in front of the number.  If the sign bit is zero placed in front of MSB, the number is positive. If the sign bit is one placed in front of MSB, the number is negative. 19 Describe the advantages of octal and hexadecimal system over binary system. Advantage of octal and hexadecimal system over binary system If the binary number is large, it is convenient and more efficient for ease of conversion in the octal and hexadecimal system. The hexadecimal system is useful for human communications with computers. 20 Which are the independent symbols used for octal system? Octal symbols 0, 1, 2, 3, 4, 5, 6, 7 21 Why the length of the octal number is 1/3 that of binary number? Length of octal number The octal digit is represented by group of three binary bit therefore the length of octal number is 1/3 that of binary number. 22 Which are the independent symbols used for hexadecimal system? Hexadecimal system 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E 23 Why the length of the Hexadecimal number is 1/4th that of binary number? Length of Hexadecimal  number The Hexadecimal digit is represented by group of four binary bit therefore the length of octal number is 1/4th that of binary number. 24 What is Hex dabble method? Hex dabble method It is method in which fraction decimal is converted in to hexadecimal. 25 How to obtain 1’s complement of a given number? 1’s complement It is obtain by changing all 0s to 1s and all 1s to 0s. It is obtained by subtracting each bit of number from 1. 26 Write general formula for find out 2’s complement of a signed number has 1 in sign bit and all 0s in the magnitude bits. Formula for find out 2’s complement of signed number has 1 in sign bit and all 0s in the magnitude bits = 2 – n Example 2’s complement of 100 =  – 8 27 Describe the advantage and disadvantage of 1’s complement method. Advantages It is very easy to implement in the hardware by placing all bits through inverters. Disadvantages Both 00000000 and its 1’s complement 11111111 represent zero. The 11111111 is called as negative zero and 00000000 is called as positive zero. 28 Explain the term : Modulus arithmetic Modulus arithmetic If a 4 bit is added to another 4 bit number, the resultant is 4 bit only.  If there is any carry from the fourth bit, it will overflow.  This is called as modulus arithmetic. 29 What is double precision? Double Precision The numbers from +32767 ( 215 – 1 ) to – 32768 ( – 215 ) in 16 – bit computer can be expressed in each register. The word length of any computer is fixed. The double precision is used if a number greater than these are to be expressed. There are two storage location is used in the double precision and each number is stored in two registers. 30 How many symbol the binary digit consists of? Binary symbols 0, 1 31 How the negative number is represented in digital system? Negative number The negative number is represented in digital system by any of the below method Sign magnitude form 1’s complement form 2’s complement form 32 How to obtain 2’s complement of a given binary number? 2’s complement number The 2’s complement number can be find out by any of the below method. Find 1’s complement of a given number and add 1 in it. Subtract given n – bit number from 2n Starting at LSB, copy down all bits up to and including 1 bit and complement remaining bits.

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