109 in Binary
109 in binary is 1101101. 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 109 in binary. In this article, we will show how to convert the decimal number 109 to binary.
- 109 in Binary: 109₁₀ = 1101101₂
- 109 in Octal: 109₁₀ = 155₈
- 109 in Hexadecimal: 109₁₀ = 6D₁₆
- 1101101₂ in Decimal: 109₁₀
How to Convert 109 in Binary?
Step 1: Divide 109 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 |
|---|---|
| 109/2 = 54 | 1 |
| 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 109.
Therefore, the binary equivalent of decimal number 109 is 1101101.
☛ Decimal to Binary Calculator
Problem Statements:
| What is 109 in Binary? - (Base 2) | (1101101)₂ |
| What is 109 in Hexadecimal? - (Base 16) | (6D)₁₆ |
| What is 109 in Octal? - (Base 8) | (155)₈ |
| Is 109 a Composite Number? | No |
| Is 109 a Perfect Cube? | No |
| Square Root of 109 | 10.440307 |
| Is 109 a Perfect Square? | No |
| Is 109 a Prime Number? | Yes |
| Cube Root of 109 | 4.776856 |
FAQs on 109 in Binary
What is 109 in Binary?
109 in binary is 1101101. To find decimal to binary equivalent, divide 109 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 109 to Binary Equivalent?
We can divide 109 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 109 mod 2 = 1 - 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 109 in binary can be represented as 1101101.
Find the Value of 10 × 109 in Binary Form.
We know that 109 in binary is 1101101 and 10 is 1010. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1101101 × 1010 = 10001000010 which is 1090 in the decimal number system. [109 × 10 = 1090]
What is the Binary Equivalent of 109 + 21?
109 in binary number system is 1101101 and 21 is 10101. We can add the binary equivalent of 109 and 21 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, (1101101)₂ + (10101)₂ = (10000010)₂ which is nothing but 130.
☛ Binary to Decimal Calculator
How Many Bits Does 109 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 109 in binary i.e. 1101101. Therefore, we have used 7 bits to represent 109 in binary.
☛ Also Check:
- 224 in Binary - 11100000
- 625 in Binary - 1001110001
- 69 in Binary - 1000101
- 215 in Binary - 11010111
- 65 in Binary - 1000001
- 213 in Binary - 11010101
- 57 in Binary - 111001