C. Application Based Questions:
1. Raman has been given an assignment to add two binary numbers. He is confused how
to add 1 to 1. Help him to solve the question specifying the rule.
Answers
Fill in the Blanks:
1. The base of Binary number system is 2 .
2. The base of decimal number system is 10.
3. Octal Number system consists of 8 digits.
4. In Binary addition 1 +1 e1ual to 10.
5. Binary number system is understood by the computer system.
6. Hexadecimal uses 16 symbols to represent numbers.
7. In Binary subtraction , 1-1 equals 0 .
State True or False:-
1. The decimal number system consists of 10 digits i.e. 0 to 9. (True)
2. The method to perform division of two binary numbers is not same as that of decimal numbers. (False)
3. 1 multiplied by 0 equals to 0. (True)
4. Charles Babbage introduced the concept of 0 (Zero). (False)
5. The numbers used in Octal number system are 1 to 7. (False)
Multiple Choice Question:
1. …………. Introduced the concept of 0 (Zero).
a. Ada Lovelace b. Aryabhat c. Bill Gates [B]
2. A ………………. Converts the decimal format in to its binary equivalent.
a. Digital Computer b. Cell Phone c. Abacus [A]
3. A computer understand only ………. Code.
a. English b. French c. Binary [C]
4. In Binary multiplication 1×1 equals to ……………………….
a. 0 b. 1 c. 2 [B]
5. To convert Decimal number in to Binary number , divide the Number by ………………………….
a. 2 b. 8 c. 10 [A]
Application Based Question:
Q.1. Ratika’s computer teacher asked her to convert the octal number to Decimal number. Suggest her the method which she should apply in converting the Octal number.
Answer:- Divided By 10.
Q.2. The teacher has given an assignment to Saurabh on Binary subtraction. Subtraction. Is confused how to subtract 1 from 0. Help him in solving the problem.
Answer: with Borrow.
Answer the following:
Q.1. explain Number system and its commonly used types.
Answer:- A set of values used to represent different quantities is known as Number system. The digital compute represents all kind of data and information in Binary number. The commonly used number system is Decimal number system .
Q.2. What are the rules to convert a decimal number in to Binary Number?
Answer
Divide the given decimal number with the base 2.
Write down the remainder and divide the quotient again by 2.
Repeat the step 2 till the quotient is zero
Question :
Raman has been given an assignment to add two binary numbers. He is confused how to add 1 to 1. Help him to solve the question specifying the rule.
Answer :
1 + 1 = 10 ( which is 0 carry 1)
Given :
Two binary numbers 1 and 1
To find :
The addition of the binary numbers
Solution :
As we know, binary numbers consist of 0 and 1
1 + 1 = 2
The binary number which represents 2 is 10 with the digit 0 and the carry 1.
2 divided by 2 gives 1 as quotient and 0 as remainder.
Hence, 2 in binary representation is 10.
In binary,
0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
Hence, 1 + 1 = 10 ( which is 0 carry 1)
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