24 in Binary
24 in binary is 11000. 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 24 in binary. In this article, let us learn how to convert the decimal number 24 to binary.
How to Convert 24 in Binary?
Step 1: Divide 24 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 |
|---|---|
| 24/2 = 12 | 0 |
| 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 24.
Therefore, the binary equivalent of decimal number 24 is 11000.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 24 in the different number systems.
- 24 in Binary: 24₁₀ = 11000₂
- 24 in Octal: 24₁₀ = 30₈
- 24 in Hexadecimal: 24₁₀ = 18₁₆
- 11000₂ in Decimal: 24₁₀
Problem Statements:
| What is 24 in Binary? - (Base 2) | (11000)₂ |
| What is 24 in Hexadecimal? - (Base 16) | (18)₁₆ |
| What is 24 in Octal? - (Base 8) | (30)₈ |
| Is 24 a Perfect Cube? | No |
| Is 24 a Composite Number? | Yes |
| Square Root of 24 | 4.898979 |
| Is 24 a Perfect Square? | No |
| Cube Root of 24 | 2.884499 |
| Is 24 a Prime Number? | No |
FAQs on 24 in Binary
What is 24 in Binary?
24 in binary is 11000. To find decimal to binary equivalent, divide 24 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.
Find the Value of 3 × 24 in Binary Form.
We know that 24 in binary is 11000 and 3 is 11. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 11000 × 11 = 1001000 which is 72 in the decimal number system. [24 × 3 = 72]
How to Convert 24 to Binary Equivalent?
We can divide 24 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 24 mod 2 = 0 - 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 24 in binary can be represented as 11000.
How Many Bits Does 24 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 24 in binary i.e. 11000. Therefore, we have used 5 bits to represent 24 in binary.
What is the Binary Equivalent of 24 + 79?
24 in binary number system is 11000 and 79 is 1001111. We can add the binary equivalent of 24 and 79 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, (11000)₂ + (1001111)₂ = (1100111)₂ which is nothing but 103.
☛ Also Check:
- 255 in Binary - 11111111
- 40 in Binary - 101000
- 144 in Binary - 10010000
- 44 in Binary - 101100
- 22 in Binary - 10110
- 242 in Binary - 11110010
- 3000 in Binary - 101110111000