25 in Binary
25 in binary is 11001. Unlike the decimal number system where we use the digits 0 to 9 to represent a number, in a binary system, we use only 2 digits that are 0 and 1 (bits). We have used 5 bits to represent 25 in binary. In this article, let us learn how to convert the decimal number 25 to binary.
How to Convert 25 in Binary?
Step 1: Divide 25 by 2. Use the integer quotient obtained in this step as the dividend for the next step. Repeat the process until the quotient becomes 0.
| Dividend | Remainder |
|---|---|
| 25/2 = 12 | 1 |
| 12/2 = 6 | 0 |
| 6/2 = 3 | 0 |
| 3/2 = 1 | 1 |
| 1/2 = 0 | 1 |
Step 2: Write the remainder from bottom to top i.e. in the reverse chronological order. This will give the binary equivalent of 25.
Therefore, the binary equivalent of decimal number 25 is 11001.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 25 in the different number systems.
- 25 in Binary: 25₁₀ = 11001₂
- 25 in Octal: 25₁₀ = 31₈
- 25 in Hexadecimal: 25₁₀ = 19₁₆
- 11001₂ in Decimal: 25₁₀
Problem Statements:
| What is 25 in Binary? - (Base 2) | (11001)₂ |
| What is 25 in Hexadecimal? - (Base 16) | (19)₁₆ |
| What is 25 in Octal? - (Base 8) | (31)₈ |
| Is 25 a Perfect Square? | Yes |
| Is 25 a Composite Number? | Yes |
| Is 25 a Perfect Cube? | No |
| Is 25 a Prime Number? | No |
| Square Root of 25 | 5 |
| Cube Root of 25 | 2.924018 |
FAQs on 25 in Binary
What is 25 in Binary?
25 in binary is 11001. To find decimal to binary equivalent, divide 25 successively by 2 until the quotient becomes 0. The binary equivalent can be obtained by writing the remainder in each division step from the bottom to the top.
What is the Binary Equivalent of 25 + 48?
25 in binary number system is 11001 and 48 is 110000. We can add the binary equivalent of 25 and 48 using binary addition rules [0 + 0 = 0, 0 + 1 = 1, 1 + 1 = 10 note that 1 is a carry over to the next bit]. Therefore, (11001)₂ + (110000)₂ = (1001001)₂ which is nothing but 73.
☛ Binary to Decimal Calculator
How to Convert 25 to Binary Equivalent?
We can divide 25 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 25 mod 2 = 1 - LSB (Least Significant Bit)
- 12 mod 2 = 0
- 6 mod 2 = 0
- 3 mod 2 = 1
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 25 in binary can be represented as 11001.
How Many Bits Does 25 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 25 in binary i.e. 11001. Therefore, we have used 5 bits to represent 25 in binary.
Find the Value of 8 × 25 in Binary Form.
We know that 25 in binary is 11001 and 8 is 1000. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 11001 × 1000 = 11001000 which is 200 in the decimal number system. [25 × 8 = 200]
☛ Also Check:
- 9 in Binary - 1001
- 231 in Binary - 11100111
- 49 in Binary - 110001
- 55 in Binary - 110111
- 100 in Binary - 1100100
- 249 in Binary - 11111001
- 202 in Binary - 11001010