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## Computer Number system Note for IBPS PO

Feb 3 • IBPS PO • 2978 Views • No Comments on Computer Number system Note for IBPS PO

## Computer Number system Note for IBPS PO

Number system defines a set of values that is used to represent quantity.

Types of Number System

1. Binary number system : It contain two unique digits 0 and 1 and also known as Base 2
2. Decimal Number System : It consist of ten digits from 0 to 9 and also known as base 10 system
3. Octal Number System : consist of 8 digits from 0 to 7 and known as base 8
4. Hexadecimal Number System : 16 unique digits from 0 to 9 and A to F. A denotes

10, B denotes 11……….F denotes 15 and also known as base 16 system.

Hexadecimal to Binary: Refer the above table for the conversion process (1A2)16 = (?)2 1=0001, A= 1010, 2=0010; Hence (1A2)16 = (000110100010)2 Decimal to  Binary:

(75)10 =(?)2 Divide 75 by 2 (and write down its remainder).

Hence (75)10 =(101011)2

Any number system to decimal: Sum of all (Digit × (Base)Base’s Place)  Example: (1A2)16 = (?)10 (From the table you can refer A is equivalent to 10) ((1× 162)+(10 × 161)+ (2×160))= 256+160+2=418

Example: (110110)2=(?)10 ((1×25)+ (1×24)+ (0×23)+ (1×22)+ (1×21)+    (0×20))=32+16 +4+2= 54; (110110)2=(54)10

Octal to Binary: (345)8 =(?)2 (Write down 3 bit binary equivalents of all digits) 3=011, 4=100, 5=101; Hence (345)8 =(011100101)2

Octal to Hexadecimal: Convert to Binary first and then group 4 bits to get hexadecimal number. Example: (345)8 =(?)16 =>(345)8 =(011100101)2 = 0000 1110 0101 =(0E5)16

Logic Gates

### Number system Question and Answer

1. Hexadecimal number is represented by

1)   3 digits     2) 4 binary digits        3)4 digits     4) all

2. Hexadecimal number system is a group of…..numbers?

1.) 0 to 1        2) 0 to          3) 0 to 7              4) A to F

3. Decimal equivalent of (1111)2 is

1) 11           2)10          3)15            4)13

4. What is the value of binary number 101?

1) 3            2) 5             3) 2     4) 6

5. Which of the following is not a binary number ?

1)  101     2) 202              3)111            4)100

6. Which of the following is not a computer code ?

1)  EBCDIC             2) ASCII               3) CISC               4) BCD

7. How many values can be represented by a single byte?

1) 4         2) 16          3) 64           4) 256

8. Binary equivalent of decimal number 98 is

1) 1110001                 2) 1110100      3) 1100010        4) 1111001

9. ASCII code for letter

1) 1100011              2) 1000001         3)1111111           4) 0010011