Binary converter
Binary converter
Sure! A binary converter is a tool that can be used to convert decimal numbers to binary numbers and vice versa. Here are the steps to use a binary converter:
Decimal to Binary Conversion:
- Divide the decimal number by 2 and write down the quotient and remainder.
- Divide the quotient again by 2 and write down the new quotient and remainder.
- Repeat step 2 until the quotient is zero.
- Write down the remainders from step 1 to step 3 in reverse order. This is the binary representation of the decimal number.
For example, let’s say we want to convert the decimal number 27 to binary:
Step 1: 27 / 2 = 13 remainder 1 Step 2: 13 / 2 = 6 remainder 1 Step 3: 6 / 2 = 3 remainder 0 Step 4: 27 in binary is 11011
Binary to Decimal Conversion:
- Write down the binary number.
- Assign each digit in the binary number a place value, starting from 1 on the right and doubling each value to the left.
- Multiply each digit by its corresponding place value.
- Add up all the results from step 3. The final result is the decimal representation of the binary number.
For example, let’s say we want to convert the binary number 11011 to decimal:
Step 1: 11011
Step 2: 1 1 0 1 1 16 8 4 2 1
Step 3: 116 + 18 + 04 + 12 + 1*1 = 27
So the decimal representation of the binary number 11011 is 27.