##### Question

In: Computer Science

# How to convert 12345 from base 10 to base 2?

How to convert 12345 from base 10 to base 2?

## Solutions

##### Expert Solution

To convert a number from decimal to binary, divide the number by 2 until the quotient is not the zero. Write a reminder to the side at each step.

12345 divide by 2 quotient is 6172 and reminder is 1

6172 divide by 2 quotient is 3086 and reminder is 0

3086 divide by 2 quotient is 1543 and reminder is 0

1543 divide by 2 quotient is 771 and reminder is 1

771 divide by 2 quotient is 385 and reminder is 1

385 divide by 2 quotient is 192 and reminder is 1

192 divide by 2 quotient is 96 and reminder is 0

96 divide by 2 quotient is 48 and reminder is 0

48 divide by 2 quotient is 24 and reminder is 0

24 divide by 2 quotient is 12 and reminder is 0

12 divide by 2 quotient is 6 and reminder is 0

6 divide by 2 quotient is 3 and reminder is 0

3 divide by 2 quotient is 1 and reminder is 1

1  divide by 2 quotient is 0 and reminder is 1

Now write reminder from bottom to up it will be . 11000000111001

Hence 12345 in decimal will be 11000000111001 in binary

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