question 2 57.55 in base 10 equals in base 2? (provide exactly 6 binary digits to the right of the decimal)
1 answer:
57.55 in base 10 equal in base 2 is 57.55₁₀ = 111001.10001100110₂
Base 10:
It refers the decimal number system.
A number system which uses digits from 0 to 9 to represent a number.
Base 2:
It refers the Binary number system.
A binary number is defined as a number that is expressed in the binary system or base 2 numeral system. It describes numeric values by two separate symbols; 1 (one) and 0 (zero).
Given,
The base 10 number = 57.55
Now we have to convert it into base 2,
So, the conversion will follow the following step in image 1.
Write the Remainders from bottom to top
So, 57₁₀=111001₂
For Decimal Numbers
Refer image 2,
Write the Integer part from top to bottom
55₁₀ = 10001100110₂
Therefore,
57.55₁₀ = 111001.10001100110₂
To know more about Base 10 to base 2 conversion here
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Given:
The statements and reasons to solve an equation.
To find:
The missing reason.
Solution:
If a, b and c are three real number, then
Associative property of addition :
Commutative property of addition :
Multiplicative property of equality :
Distributive property of multiplication over addition :
In the given step, is written as
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It means, only parenthesis are changed, which is possible by Associative property of addition.
So, the missing reason is Associative property of addition.
Therefore, the correct option is A.