Question 1 - 3 Mark Questions - Chapter 2 Class 11 - Encoding Schemes and Number System

Last updated at April 16, 2024 by

Convert (17.35)10 to binary form.

 

Answer:

17.35 10 is a decimal number.

17 is the integer part of the number and 35 is the fractional part of the number.

Step 1: Converting 17 to binary

Converting 17 into Binary - Teachoo.jpg

So equivalent binary of integer part of the decimal number is 10001 2

Step 2: Converting .35 to binary

 

 

Integer Part

Fractional Part

0.35 x 2 = 0.70

0 ↓

0.70

0.70 x 2 = 1.40

1  ↓

0.40

0.40 x 2 = 0.80

0  ↓ 0.80
0.80 x 2 = 1.60 1  ↓ 0.60
0.60 x 2 = 1.20 1  ↓ 0.20
0.20 x 2 = 0.40 0  ↓ 0.40

So equivalent binary of fractional part of the decimal number is (. 010110) 2

Therefore, (17.35) 10 = ( 10001.010110) 2

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Transcript

Converting 17 into Binary

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo