11th Standard Syllabus & Materials

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11th Standard English Medium Computer Science Subject Number Systems Book Back 5 Mark Questions with Solution Part - I

Published on: 08/06/2021

QB365 provides detailed and simple solution for every book back questions in class 11 Computer Science subject.It will helps to get more idea about question pattern in every book back questions with solution.

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Std: 11th Standard - Computer Science

chapter: - Book back Questions

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Questions:

Generic 5

5 x 5 = 25

Subtract 1101011₂ - 111010₂

Add 1101010₂ + 101101₂

Find 1's Complement and 2's Complement for the following Decimal number.
(i) -98
(ii) -135

Convert (98.46)₁₀ to Binary.

Write the procedure to convert fractional Decimal to Binary.

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Answers Key:

Generic 5

5 x 5 = 25

1101011₂ - 111010₂
1101011
+111010
_______
0110001
_______
1101011₂ - 111010₂ = 0110001₂

1101010₂ + 101101₂
1101010
+101101
________
10010111
________
1101010₂ + 101101₂ = 10010111₂

98.46₁₀

2. Fractional part
0.46 x 2 = 0.92 = 0
0.92 x 2 = 1.84 = 1
0.84 x 2 = 1.68 = 1
0.68 x 2 = 1.36 = 1
0.36 x 2 = 0.72 = 0
0.72 x 2 = 1.44 = 1
98.46₁₀ = (1100010.011101...)₂

The method of repeated multiplication by 2 has to be used to convert such kinds of decimal fractions.
The steps involved in the method of repeated multiplication by 2.
Step 1: Multiply the decimal fraction by 2 and note. the integer part. The integer part is either 0 or 1.
Step 2: Discard the integer part of the previous product. Multiply the fractional part of the previous product by 2. Repeat Step 1 until the same fraction repeats or terminates (0).
Step 3: The resulting integer part forms a sequence of 0's and 1's that become the binary equivalent of a decimal fractions.
Step 4: The final answer is to be written from first. integer part obtained till the last integer part is obtained.