1101 in Binary
1101 in binary is 10001001101. 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 11 bits to represent 1101 in binary. In this article, let us learn how to convert the decimal number 1101 to binary.
How to Convert 1101 in Binary?
Step 1: Divide 1101 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 |
|---|---|
| 1101/2 = 550 | 1 |
| 550/2 = 275 | 0 |
| 275/2 = 137 | 1 |
| 137/2 = 68 | 1 |
| 68/2 = 34 | 0 |
| 34/2 = 17 | 0 |
| 17/2 = 8 | 1 |
| 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 1101.
Therefore, the binary equivalent of decimal number 1101 is 10001001101.
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Let us have a look at the value of the decimal number 1101 in the different number systems.
- 1101 in Binary: 1101₁₀ = 10001001101₂
- 1101 in Octal: 1101₁₀ = 2115₈
- 1101 in Hexadecimal: 1101₁₀ = 44D₁₆
- 10001001101₂ in Decimal: 1101₁₀
Problem Statements:
| What is 1101 in Binary? - (Base 2) | (10001001101)₂ |
| What is 1101 in Hexadecimal? - (Base 16) | (44D)₁₆ |
| What is 1101 in Octal? - (Base 8) | (2115)₈ |
| Cube Root of 1101 | 10.325928 |
| Is 1101 a Prime Number? | No |
| Is 1101 a Composite Number? | Yes |
| Square Root of 1101 | 33.18132 |
| Is 1101 a Perfect Cube? | No |
| Is 1101 a Perfect Square? | No |
FAQs on 1101 in Binary
What is 1101 in Binary?
1101 in binary is 10001001101. To find decimal to binary equivalent, divide 1101 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 8 × 1101 in Binary Form.
We know that 1101 in binary is 10001001101 and 8 is 1000. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 10001001101 × 1000 = 10001001101000 which is 8808 in the decimal number system. [1101 × 8 = 8808]
What is the Binary Equivalent of 1101 + 43?
1101 in binary number system is 10001001101 and 43 is 101011. We can add the binary equivalent of 1101 and 43 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, (10001001101)₂ + (101011)₂ = (10001111000)₂ which is nothing but 1144.
☛ Binary to Decimal Calculator
How Many Bits Does 1101 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 1101 in binary i.e. 10001001101. Therefore, we have used 11 bits to represent 1101 in binary.
How to Convert 1101 to Binary Equivalent?
We can divide 1101 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 1101 mod 2 = 1 - LSB (Least Significant Bit)
- 550 mod 2 = 0
- 275 mod 2 = 1
- 137 mod 2 = 1
- 68 mod 2 = 0
- 34 mod 2 = 0
- 17 mod 2 = 1
- 8 mod 2 = 0
- 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 1101 in binary can be represented as 10001001101.
☛ Also Check:
- 2048 in Binary - 100000000000
- 68 in Binary - 1000100
- 65 in Binary - 1000001
- 13 in Binary - 1101
- 59 in Binary - 111011
- 192 in Binary - 11000000
- 188 in Binary - 10111100