Decimal to Binary Questions

Decimal to binary questions with solutions is given here to practice decimal to binary conversions. After knowing how to convert a base-10 number into a base-2 number, these questions will help you practice number system conversions.

There are different types of numbers in the number system:

• Decimal Numbers – base 10
• Binary numbers – base 2
• Octal numbers – base 8
• Hexadecimal numbers – base 16.

Steps to convert decimal to binary numbers:

Step I: Divide the given number by 2. Note the remainders obtained.

Step II: For an even number, the remainder is 0, and for an odd number, the remainder is 1.

Step III: Successively divide the obtained result by 2 and note the remainders till the last dividend is 1.

Step IV: The binary equivalent of the decimal number is obtained by writing the remainders in reverse order – MSB (Most Significant Bit) to LSB (Least Significant Bit).

Decimal to Binary Conversions Questions with Solution

Solve the following questions to practice decimal to binary conversions.

Question 1: Convert 278₁₀ into a binary number.

Solution:

Division by 2

Quotient

Remainder

Binary Bit