108 in Binary
108 in binary is 1101100. 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 7 bits to represent 108 in binary. In this article, we will show how to convert the decimal number 108 to binary.
- 108 in Binary: 108₁₀ = 1101100₂
- 108 in Octal: 108₁₀ = 154₈
- 108 in Hexadecimal: 108₁₀ = 6C₁₆
- 1101100₂ in Decimal: 108₁₀
How to Convert 108 in Binary?
Step 1: Divide 108 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 |
|---|---|
| 108/2 = 54 | 0 |
| 54/2 = 27 | 0 |
| 27/2 = 13 | 1 |
| 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 108.
Therefore, the binary equivalent of decimal number 108 is 1101100.
☛ Decimal to Binary Calculator
Problem Statements:
| What is 108 in Binary? - (Base 2) | (1101100)₂ |
| What is 108 in Hexadecimal? - (Base 16) | (6C)₁₆ |
| What is 108 in Octal? - (Base 8) | (154)₈ |
| Is 108 a Prime Number? | No |
| Is 108 a Perfect Square? | No |
| Is 108 a Perfect Cube? | No |
| Square Root of 108 | 10.392305 |
| Is 108 a Composite Number? | Yes |
| Cube Root of 108 | 4.762203 |
FAQs on 108 in Binary
What is 108 in Binary?
108 in binary is 1101100. To find decimal to binary equivalent, divide 108 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 × 108 in Binary Form.
We know that 108 in binary is 1101100 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 1101100 × 1001 = 1111001100 which is 972 in the decimal number system. [108 × 9 = 972]
How to Convert 108 to Binary Equivalent?
We can divide 108 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 108 mod 2 = 0 - LSB (Least Significant Bit)
- 54 mod 2 = 0
- 27 mod 2 = 1
- 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 108 in binary can be represented as 1101100.
How Many Bits Does 108 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 108 in binary i.e. 1101100. Therefore, we have used 7 bits to represent 108 in binary.
What is the Binary Equivalent of 108 + 58?
108 in binary number system is 1101100 and 58 is 111010. We can add the binary equivalent of 108 and 58 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, (1101100)₂ + (111010)₂ = (10100110)₂ which is nothing but 166.
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