## 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

**Binary number system :**It contain two unique digits 0 and 1 and also known as Base 2**Decimal Number System**: It consist of ten digits from 0 to 9 and also known as base 10 system**Octal Number System**: consist of 8 digits from 0 to 7 and known as base 8**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

**Hexadecimal number is represented by**

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

**Answer (2)**

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

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

##### Answer (2)

**3. Decimal equivalent of (1111)2 is**

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

##### Answer (3)

**4. What is the value of binary number 101?**

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

##### Answer (5)

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

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

##### Answer (2)

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

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

**Answer (3)**

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

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

**Answer (2)**

**8. Binary equivalent of decimal number 98 is**

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

##### Answer (3)

**9. ASCII code for letter**

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

##### Answer (2)

**10. How many types of number system?**

1) 1 2) 2 3) 3 4) 4

##### Answer (4)

#### NUMBER SYSTEM PROBLEMS WITH SOLUTIONS

**Join us on Telegram and Facebook for B**ANK exam is also asked in other government exam like BANK IBPS SO RRB SSC. This note has been prepared by Supriya Kundu is of one of best teacher in this field.

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