63 to binary
Understand the Problem
The question is asking for the binary representation of the decimal number 63. To convert decimal to binary, we will divide the number by 2 and record the remainders.
Answer
111111
Answer for screen readers
The final answer is 111111
Steps to Solve
- Divide by 2 and record the remainder
Divide the decimal number by 2 and write down the remainder. Repeat this process with the quotient until the quotient is 0.
$$63 \div 2 = 31 \text{ remainder } 1$$ $$31 \div 2 = 15 \text{ remainder } 1$$ $$15 \div 2 = 7 \text{ remainder } 1$$ $$7 \div 2 = 3 \text{ remainder } 1$$ $$3 \div 2 = 1 \text{ remainder } 1$$ $$1 \div 2 = 0 \text{ remainder } 1$$
- Read the remainders from bottom to top
The binary representation of the decimal number is obtained by reading the remainders from the last division (bottom) to the first division (top).
Reading from bottom to top, we get:
$$111111$$
The final answer is 111111
More Information
The binary system is base-2, which means it only uses two digits: 0 and 1. Each digit in a binary number represents a power of 2.
Tips
A common mistake is to read the remainders from top to bottom instead of bottom to top. Always start reading from the last remainder obtained for accurate results.
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