# Decimal to Binary

Convert decimal numbers to binary quickly with our Decimal to Binary Converter. Ideal for computer science and digital systems, ensuring accurate conversions.

**Decimal Number Definition:**A decimal number is a number expressed in the base-ten numerical system. It uses ten symbols—0, 1, 2, 3, 4, 5, 6, 7, 8, and 9—to represent quantities. Each digit's position in a decimal number corresponds to a power of 10.

**Decimal Number Example:**The number 4567 is a decimal number. In this number, 4 is in the thousands place, 5 is in the hundreds place, 6 is in the tens place, and 7 is in the ones place.

**Binary Number Definition:**A binary number is a number expressed in the base-two numerical system. It uses two symbols—0 and 1—to represent quantities. Each digit's position in a binary number corresponds to a power of 2.

**Binary Number Example:**The binary number 10110 is an example. In this number, 1 is in the 16s place (2^4), 0 is in the 8s place (2^3), 1 is in the 4s place (2^2), 1 is in the 2s place (2^1), and 0 is in the 1s place (2^0). When converted to decimal, this binary number represents the decimal number 22.

**Conversion Process: Decimal to Binary**

**Divide by 2:**Begin by dividing the decimal number by 2.**Record Remainders:**Record the remainder (either 0 or 1) after each division. These remainders will form the binary digits.**Repeat Division:**Continue dividing the quotient by 2 until the quotient becomes 0.**Reverse the Remainders:**Once all divisions are done, the binary digits obtained are reversed to get the final binary number.

**Example: Convert Decimal 27 to Binary**

Step 1: $\frac{27}{2} = 13$ Remainder 1

Step 2: $\frac{13}{2} = 6$ Remainder 1

Step 3: $\frac{6}{2} = 3$ Remainder 0

Step 4: $\frac{3}{2} = 1$ Remainder 1

Step 5: $\frac{1}{2} = 0$ Remainder 1

Reversing the remainders, we get 11011. Therefore, the binary representation of decimal number 27 is 11011.