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

Last updated at July 23, 2026 by

Convert (423.03125)10 to octal form.

 

Answer:

(423.03125) 10 is a decimal number.

423 is the integer part of the number and .03125 is the fractional part of the number.

Step 1: Converting 423 to octal

Converting Decimal 423 (Base 10) into Octal (Base 8) - Teachoo.jpg

(423) 10 = (647) 8

Step 2: Converting .03125 to octal

 

  Integer Part Fractional Part
0.03125 x 8 = 0.25 0 ↓ 0.25
0.25 x 8 = 2 2 ↓ 0

 

 

 

(0.03125) 10 = (0.02) 8

Therefore, (423.03125) 10 = (647.02) 8

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Converting Decimal 423 (Base 10) into Octal (Base 8)

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