Question 6 - 3 Mark Questions - Chapter 2 Class 11 - Encoding Schemes and Number System

Last updated at April 16, 2024 by

Convert following binary numbers to octal numbers 

(a) 1011010

(b) 10010010

 

Answer:

  • 1011010 

00 1

011

010

1

3

2

            Therefore, 1011010 2 = 132 8  

 

  • 10010010 

 

0 10

010

010

2

2

2

              Therefore, 10010010 2 = 222 8

Explanation:

  • To obtain the octal equivalent of a binary number, digits of binary number should be divided into groups of three digits starting from the rightmost digit for the integer part and starting from the leftmost digit for the fractional part.
  • Convert each group of 3 digits to one octal digit as given in the table below.
  • Note: 1 or 2 zeroes can be added before the leftmost digit or after the rightmost digit to make a complete group of 3 bits.

Decimal, Binary And Octal Number System Full Comparison - Teachoo.jpg

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Transcript

Decimal, Binary And Octal Number System – Full Comparison

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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