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If the value of a number in decimal system is 955, find its value in quinary system and in binary system.​

User Lfboulanger
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1 Answer

18 votes
18 votes

Answer:

955 in quinary system = 12310

955 in binary system = 1110111011

Explanation:

Quinary system is in base 5, that is, 0,1,2,3,4

955 in quinary system

955 ÷ 5 = 191 remainder 0

191 ÷ 5 = 38 remainder 1

38 ÷ 5 = 7 remainder 3

7 ÷ 5 = 1 remainder 2

1 ÷ 5 = 0 remainder 1

In reverse order of the remainder

= 12310

Binary system = 0,1

955 in binary system

955 ÷ 2 = 477 remainder 1

477 ÷ 2 = 238 remainder 1

238 ÷ 2 = 119 remainder 0

119 ÷ 2 = 59 remainder 1

59 ÷ 2 = 29 remainder 1

29 ÷ 2 = 14 remainder 1

14 ÷ 2= 7 remainder 0

7 ÷ 2 = 3 remainder 1

3 ÷ 2 = 1 remainder 1

1 ÷ 2 = 0 remainder 1

In reverse order of the remainder

1110111011

User Achim Zeileis
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