8 in binary is 1000. 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 4 bits to represent 8 in binary. In this article, let us learn how to convert the decimal number 8 to binary.
How to Convert 8 in Binary?
Step 1: Divide 8 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 |
|---|---|
| 8/2 = 4 | 0 |
| 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 8.
Therefore, the binary equivalent of decimal number 8 is 1000.
Let us have a look at the value of the decimal number 8 in the different number systems.
- 8 in Binary: 8₁₀ = 1000₂
- 8 in Octal: 8₁₀ = 10₈
- 8 in Hexadecimal: 8₁₀ = 8₁₆
- 1000₂ in Decimal: 8₁₀
Problem Statements:
| What is 8 in Binary? - (Base 2) | (1000)₂ |
| What is 8 in Hexadecimal? - (Base 16) | (8)₁₆ |
| What is 8 in Octal? - (Base 8) | (10)₈ |
| Square Root of 8 | 2.828427 |
| Is 8 a Prime Number? | No |
| Cube Root of 8 | 2 |
| Is 8 a Perfect Square? | No |
| Is 8 a Perfect Cube? | Yes |
| Is 8 a Composite Number? | Yes |
☛Related Topics
- Decimal to Binary Calculator
- Binary to Decimal Calculator
- Binary to Decimal
- 151 in Binary - 10010111
- 42 in Binary - 101010
- 12 in Binary - 1100
- 1023 in Binary - 1111111111
- 254 in Binary - 11111110
- 139 in Binary - 10001011
- 30 in Binary - 11110
FAQs on 8 in Binary
What is 8 in Binary?
8 in binary is 1000. To find decimal to binary equivalent, divide 8 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 7 × 8 in Binary Form.
We know that 8 in binary is 1000 and 7 is 111. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1000 × 111 = 111000 which is 56 in the decimal number system. [8 × 7 = 56]
How to Convert 8 to Binary Equivalent?
We can divide 8 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 8 mod 2 = 0 - LSB (Least Significant Bit)
- 4 mod 2 = 0
- 2 mod 2 = 0
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 8 in binary can be represented as 1000.
How Many Bits Does 8 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 8 in binary i.e. 1000. Therefore, we have used 4 bits to represent 8 in binary.
What is the Binary Equivalent of 8 + 53?
8 in binary number system is 1000 and 53 is 110101. We can add the binary equivalent of 8 and 53 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, (1000)₂ + (110101)₂ = (111101)₂ which is nothing but 61.
