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Octal number stands for octa decimal numbers. From the
name itself it is clear that it is something related to 8. Its
base is 8. It uses the digits 7, 6, 5, 4, 3, 2, 1, 0 to represent
the numbers in this number system. o8 represents an octal
numbers where o is any combination of above 8 digits.
 BINARY
•From the name itself it is clear that it is something
related to 2. Its base is 2 and it uses the digits 1and 0 to
represent the numbers in this number system.
b2 represents an binary numbers where b is any
combination of 0's and 1's. Binary number are used in
computers to store data.
Question 1: Convert 418 to a binary number.
Solution:
Given number is 418
418 = (4 * 81) + (1 * 80)
= 4 * 8 + 1 * 1
= 32+1
= 33(Decimal number)
2 | 33
2 | 16 -- 1
2 | 8 -- 0
2 | 4 --0
2 | 2 -- 0
1 -- 0
The binary number is 1000012
418 = 1000012
number system

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number system

  • 1.
  • 2.
  • 3. Octal number stands for octa decimal numbers. From the name itself it is clear that it is something related to 8. Its base is 8. It uses the digits 7, 6, 5, 4, 3, 2, 1, 0 to represent the numbers in this number system. o8 represents an octal numbers where o is any combination of above 8 digits.
  • 4.  BINARY •From the name itself it is clear that it is something related to 2. Its base is 2 and it uses the digits 1and 0 to represent the numbers in this number system. b2 represents an binary numbers where b is any combination of 0's and 1's. Binary number are used in computers to store data.
  • 5. Question 1: Convert 418 to a binary number. Solution: Given number is 418 418 = (4 * 81) + (1 * 80) = 4 * 8 + 1 * 1 = 32+1 = 33(Decimal number)
  • 6. 2 | 33 2 | 16 -- 1 2 | 8 -- 0 2 | 4 --0 2 | 2 -- 0 1 -- 0 The binary number is 1000012 418 = 1000012