25 to binary
Understand the Problem
The question is asking how to convert the decimal number 25 into its binary equivalent. This involves dividing the number by 2 and recording the remainders until the quotient is 0.
Answer
The binary equivalent of 25 is $11001$.
Answer for screen readers
The binary equivalent of 25 is $11001$.
Steps to Solve
- Divide by 2 and find the remainder
Start with the decimal number 25. Divide it by 2 and keep track of the quotient and remainder.
$$ 25 \div 2 = 12 \quad \text{Remainder: } 1 $$
- Repeat the process
Next, take the quotient (12) and divide it by 2 again, recording the new quotient and remainder.
$$ 12 \div 2 = 6 \quad \text{Remainder: } 0 $$
- Continue the division
Keep dividing the last quotient by 2 until the quotient becomes 0.
$$ 6 \div 2 = 3 \quad \text{Remainder: } 0 $$
$$ 3 \div 2 = 1 \quad \text{Remainder: } 1 $$
$$ 1 \div 2 = 0 \quad \text{Remainder: } 1 $$
- Collect the remainders
Now collect all the remainders starting from the last division up to the first.
The remainders in order are: 1, 1, 0, 0, 1.
- Write the binary number
The binary equivalent is formed by reading the remainders in reverse order.
Thus, the binary equivalent of 25 is:
$$ 11001 $$
The binary equivalent of 25 is $11001$.
More Information
Binary is a base-2 numeral system, which uses only two symbols: 0 and 1. Each digit in binary is also referred to as a bit. The process of converting from decimal to binary involves repeatedly dividing the decimal number by 2 and recording the remainders.
Tips
A common mistake is forgetting to write down remainders or recording them in the wrong order. Always make sure to collect the remainders starting from the last division to the first.
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