20 in Binary
20 in binary is 10100. 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 20 in binary. In this article, let us learn how to convert the decimal number 20 to binary.
How to Convert 20 in Binary?
Step 1: Divide 20 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 |
|---|---|
| 20/2 = 10 | 0 |
| 10/2 = 5 | 0 |
| 5/2 = 2 | 1 |
| 2/2 = 1 | 0 |
| 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 20.
Therefore, the binary equivalent of decimal number 20 is 10100.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 20 in the different number systems.
- 20 in Binary: 20₁₀ = 10100₂
- 20 in Octal: 20₁₀ = 24₈
- 20 in Hexadecimal: 20₁₀ = 14₁₆
- 10100₂ in Decimal: 20₁₀
Problem Statements:
| What is 20 in Binary? - (Base 2) | (10100)₂ |
| What is 20 in Hexadecimal? - (Base 16) | (14)₁₆ |
| What is 20 in Octal? - (Base 8) | (24)₈ |
| Is 20 a Composite Number? | Yes |
| Is 20 a Perfect Square? | No |
| Is 20 a Prime Number? | No |
| Is 20 a Perfect Cube? | No |
| Cube Root of 20 | 2.714418 |
| Square Root of 20 | 4.472136 |
FAQs on 20 in Binary
What is 20 in Binary?
20 in binary is 10100. To find decimal to binary equivalent, divide 20 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.
How to Convert 20 to Binary Equivalent?
We can divide 20 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 20 mod 2 = 0 - LSB (Least Significant Bit)
- 10 mod 2 = 0
- 5 mod 2 = 1
- 2 mod 2 = 0
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 20 in binary can be represented as 10100.
Find the Value of 2 × 20 in Binary Form.
We know that 20 in binary is 10100 and 2 is 10. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 10100 × 10 = 101000 which is 40 in the decimal number system. [20 × 2 = 40]
How Many Bits Does 20 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 20 in binary i.e. 10100. Therefore, we have used 5 bits to represent 20 in binary.
What is the Binary Equivalent of 20 + 23?
20 in binary number system is 10100 and 23 is 10111. We can add the binary equivalent of 20 and 23 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, (10100)₂ + (10111)₂ = (101011)₂ which is nothing but 43.
☛ Also Check:
- 124 in Binary - 1111100
- 32 in Binary - 100000
- 160 in Binary - 10100000
- 14 in Binary - 1110
- 200 in Binary - 11001000
- 80 in Binary - 1010000
- 242 in Binary - 11110010