1. Binary Number Systems - VIII

 1. Binary Number Systems

STD: VIII

Subject : ICT

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Fill in the blanks.                                                                            

 

1)      The base of Binary number system is 2.

2)      Computers communicate with each other using a binary system.

3)      ­­­­UTF -16 is an encoding format. 

4)      In Binary subtraction, 1-1 equals to 0.

5)      Unicode is a standard format used for encoding the characters.

6)      A bit can store only one value.

7)      The Hexadecimal number system consists of 16 digits, from 0 to 9 and the letters A to F.

8)      The base of decimal number system is 10. 

9)      The Binary number system is understood by the computer system.

10)  Computer understand only numbers.

11)  byte uses binary values.

12)  The base of  hexadecimal  number system is 16. 

13)  An image file is usually measured in megabyte.

14)  A octal consists of 8 bits. 

 

    

     Write True or False.                                                                                        

 

1.      A byte consists of 8 bits. -True

2.      A kilobyte consists 1024 bytes. -True

3.      Files such as image, video or audio are usually measured in megabytes. True

4.      A kilobyte consists of 2220 bytes. -False

5.      The decimal number system consists of 10 digits i.e 0 to 9. True

6.      The numbers used in octal number system are 1 to 7.  False

7.      A terabyte consists of 1024 gigabyte. -True

8.      A bit is the biggest unit of measuring data storage.  False

9.      You cannot perform arithmetical operations on binary number. False

10.  A gigabyte consists of 1024 megabyte. –True

11.  The method to perform division of two binary numbers is not same as that of decimal numbers. -False

12.  1 multiplied by 0 equals to 0. –True

13.  A terabyte consists of 1124gigabyte. –False

14.  A byte consists of 10 bits. –False

 

            

      Match the following       

A	Answer	B
1. Unicode	U +	A.    8 bits
2. Binary number	0 to 1	B.     Gigabyte
3. Hexadecimal	0 to 9 and A to F	C.     Kilobyte
4. Octal	0 and 1	D.    Terabyte
5. Decimal	0 to 9	E.     Megabyte
6. KB	Kilobyte	F. 0 to 9
7. MB	Megabyte	G.    0 to 9 and A to F
8. TB	Terabyte	H.    U +
9. GB	Gigabyte	I.       0 to 7
10. Byte	8 bits	J.       0 and 1

       

Answer the following questions:-

1) What are the rules to convert a Decimal number system into a Binary Number system?

 Ans. To convert a Decimal number system into a Binary Number system, follow the given

steps:- Step 1. Divide the given decimal number with base

2. Step 2. Write down the remainder and divide the quotient again by 2.

 

2) What is number system?

Ans. Number system is a set of values use to represent different quantities, such as number of students in a class, number of viewers watching a particular show.

 

3) What is byte?

Ans- In most computer systems, a byte is a unit of data that is eight binary digits long. A byte is the unit most computers use to represent a character such as a letter, number or typographic symbol.   

4) What is Unicode?

Ans- Unicode is a standard format used for encoding characters. Computer understand only number it stores text, letters and characters by assigning a number to it. Unicode can support one million characters. 

5) What is a bit?

Ans- bit is a single digit in the binary number for ex. 101 is three bit binary number where 1, 0, and 1 the bits.

 

6) List the units of data storage?

Ans- The units of data storage are Bit, Byte, Kilobytes, Megabyte, Gigabyte, and Terabyte.

 

7) What is the use of binary number?

Ans- Binary number are commonly used in computer architecture.

 

8) List the different types of number system?

Ans- Different types of number are Binary, Octal, Decimal, and Hexadecimal.

9) Convert the following decimal number into binary number. 

       a) 165                    b) 195                c) 185              e) 175

Ans-

1)       165	2)   195
Division by 2 Quotient Remainder (Digit) Bit # (165)/2 82 1 0 (82)/2 41 0 1 (41)/2 20 1 2 (20)/2 10 0 3 (10)/2 5 0 4 (5)/2 2 1 5 (2)/2 1 0 6 (1)/2 0 1 7 =(10100101)2	Division by 2 Quotient Remainder (Digit) Bit # (195)/2 97 1 0 (97)/2 48 1 1 (48)/2 24 0 2 (24)/2 12 0 3 (12)/2 6 0 4 (6)/2 3 0 5 (3)/2 1 1 6 (1)/2 0 1 7 = (11000011)2
Ans:  = (10100101)2	Ans:  = (11000011)2
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3)      185	4)   175
Top of Form Division by 2 Quotient Remainder (Digit) Bit # (185)/2 92 1 0 (92)/2 46 0 1 (46)/2 23 0 2 (23)/2 11 1 3 (11)/2 5 1 4 (5)/2 2 1 5 (2)/2 1 0 6 (1)/2 0 1 7 = (10111001)2	Division by 2 Quotient Remainder (Digit) Bit # (175)/2 87 1 0 (87)/2 43 1 1 (43)/2 21 1 2 (21)/2 10 1 3 (10)/2 5 0 4 (5)/2 2 1 5 (2)/2 1 0 6 (1)/2 0 1 7 = (10101111)2
Ans : = (10111001)2	Ans : = (10101111)2

  

10) Convert the following binary number into decimal number.          

        a) 1010101             b) 11111100        c) 111100011

Ans-  a) 1010101

binary number:	1	0	1	0	1	0	1
power of 2:	26	25	24	23	22	21	20
Value	64	32	16	8	4	2	1
1010101 = 64+16+4+1= 85

b) 11111100

binary number:		1	1	1	1	1	1	0	0
power of 2:		27	26	25	24	23	22	21	20
Value		128	64	32	16	8	4	2	1
	11111100= 128+64+32+16+8+4 = 252

c) 111100011

binary number:			1	1	1	1	0	0	0	1	1
power of 2:				27	26	25	24	23	22	21	20
Value			256	128	64	32	16	8	4	2	1
		111100011= 256+128+64+32+2+1= 483