4 in Binary
4 in binary is 100. 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 3 bits to represent 4 in binary. In this article, let us learn how to convert the decimal number 4 to binary.
How to Convert 4 in Binary?
Step 1: Divide 4 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 |
|---|---|
| 4/2 = 2 | 0 |
| 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 4.
Therefore, the binary equivalent of decimal number 4 is 100.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 4 in the different number systems.
- 4 in Binary: 4₁₀ = 100₂
- 4 in Octal: 4₁₀ = 4₈
- 4 in Hexadecimal: 4₁₀ = 4₁₆
- 100₂ in Decimal: 4₁₀
Problem Statements:
| What is 4 in Binary? - (Base 2) | (100)₂ |
| What is 4 in Hexadecimal? - (Base 16) | (4)₁₆ |
| What is 4 in Octal? - (Base 8) | (4)₈ |
| Is 4 a Prime Number? | No |
| Cube Root of 4 | 1.587401 |
| Is 4 a Composite Number? | Yes |
| Square Root of 4 | 2 |
| Is 4 a Perfect Square? | Yes |
| Is 4 a Perfect Cube? | No |
FAQs on 4 in Binary
What is 4 in Binary?
4 in binary is 100. To find decimal to binary equivalent, divide 4 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 4 + 11?
4 in binary number system is 100 and 11 is 1011. We can add the binary equivalent of 4 and 11 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, (100)₂ + (1011)₂ = (1111)₂ which is nothing but 15.
☛ Binary to Decimal Calculator
How Many Bits Does 4 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 4 in binary i.e. 100. Therefore, we have used 3 bits to represent 4 in binary.
Find the Value of 4 × 4 in Binary Form.
We know that 4 in binary is 100 and 4 is 100. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 100 × 100 = 10000 which is 16 in the decimal number system. [4 × 4 = 16]
How to Convert 4 to Binary Equivalent?
We can divide 4 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 4 mod 2 = 0 - LSB (Least Significant Bit)
- 2 mod 2 = 0
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 4 in binary can be represented as 100.
☛ Also Check:
- 7 in Binary - 111
- 40 in Binary - 101000
- 400 in Binary - 110010000
- 512 in Binary - 1000000000
- 13 in Binary - 1101
- 10000 in Binary - 10011100010000
- 152 in Binary - 10011000