420 in Binary
420 in binary is 110100100. 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 9 bits to represent 420 in binary. In this article, let us learn how to convert the decimal number 420 to binary.
How to Convert 420 in Binary?
Step 1: Divide 420 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 |
|---|---|
| 420/2 = 210 | 0 |
| 210/2 = 105 | 0 |
| 105/2 = 52 | 1 |
| 52/2 = 26 | 0 |
| 26/2 = 13 | 0 |
| 13/2 = 6 | 1 |
| 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 420.
Therefore, the binary equivalent of decimal number 420 is 110100100.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 420 in the different number systems.
- 420 in Binary: 420₁₀ = 110100100₂
- 420 in Octal: 420₁₀ = 644₈
- 420 in Hexadecimal: 420₁₀ = 1A4₁₆
- 110100100₂ in Decimal: 420₁₀
Problem Statements:
| What is 420 in Binary? - (Base 2) | (110100100)₂ |
| What is 420 in Hexadecimal? - (Base 16) | (1A4)₁₆ |
| What is 420 in Octal? - (Base 8) | (644)₈ |
| Is 420 a Prime Number? | No |
| Is 420 a Perfect Square? | No |
| Is 420 a Perfect Cube? | No |
| Cube Root of 420 | 7.488872 |
| Is 420 a Composite Number? | Yes |
| Square Root of 420 | 20.493902 |
FAQs on 420 in Binary
What is 420 in Binary?
420 in binary is 110100100. To find decimal to binary equivalent, divide 420 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 9 × 420 in Binary Form.
We know that 420 in binary is 110100100 and 9 is 1001. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 110100100 × 1001 = 111011000100 which is 3780 in the decimal number system. [420 × 9 = 3780]
How to Convert 420 to Binary Equivalent?
We can divide 420 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 420 mod 2 = 0 - LSB (Least Significant Bit)
- 210 mod 2 = 0
- 105 mod 2 = 1
- 52 mod 2 = 0
- 26 mod 2 = 0
- 13 mod 2 = 1
- 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 420 in binary can be represented as 110100100.
How Many Bits Does 420 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 420 in binary i.e. 110100100. Therefore, we have used 9 bits to represent 420 in binary.
What is the Binary Equivalent of 420 + 17?
420 in binary number system is 110100100 and 17 is 10001. We can add the binary equivalent of 420 and 17 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, (110100100)₂ + (10001)₂ = (110110101)₂ which is nothing but 437.
☛ Also Check:
- 40 in Binary - 101000
- 375 in Binary - 101110111
- 173 in Binary - 10101101
- 200 in Binary - 11001000
- 512 in Binary - 1000000000
- 147 in Binary - 10010011
- 8 in Binary - 1000