1100 in Binary
1100 in binary is 10001001100. 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 1100 in binary. In this article, we will show how to convert the decimal number 1100 to binary.
- 1100 in Binary: 1100₁₀ = 10001001100₂
- 1100 in Octal: 1100₁₀ = 2114₈
- 1100 in Hexadecimal: 1100₁₀ = 44C₁₆
- 10001001100₂ in Decimal: 1100₁₀
How to Convert 1100 in Binary?
Step 1: Divide 1100 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 |
|---|---|
| 1100/2 = 550 | 0 |
| 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 1100.
Therefore, the binary equivalent of decimal number 1100 is 10001001100.
☛ Decimal to Binary Calculator
Problem Statements:
| What is 1100 in Binary? - (Base 2) | (10001001100)₂ |
| What is 1100 in Hexadecimal? - (Base 16) | (44C)₁₆ |
| What is 1100 in Octal? - (Base 8) | (2114)₈ |
| Cube Root of 1100 | 10.322801 |
| Is 1100 a Perfect Cube? | No |
| Square Root of 1100 | 33.166248 |
| Is 1100 a Prime Number? | No |
| Is 1100 a Composite Number? | Yes |
| Is 1100 a Perfect Square? | No |
FAQs on 1100 in Binary
What is 1100 in Binary?
1100 in binary is 10001001100. To find decimal to binary equivalent, divide 1100 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 Many Bits Does 1100 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 1100 in binary i.e. 10001001100. Therefore, we have used 11 bits to represent 1100 in binary.
What is the Binary Equivalent of 1100 + 97?
1100 in binary number system is 10001001100 and 97 is 1100001. We can add the binary equivalent of 1100 and 97 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, (10001001100)₂ + (1100001)₂ = (10010101101)₂ which is nothing but 1197.
☛ Binary to Decimal Calculator
Find the Value of 8 × 1100 in Binary Form.
We know that 1100 in binary is 10001001100 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 10001001100 × 1000 = 10001001100000 which is 8800 in the decimal number system. [1100 × 8 = 8800]
How to Convert 1100 to Binary Equivalent?
We can divide 1100 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 1100 mod 2 = 0 - 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 1100 in binary can be represented as 10001001100.
☛ Also Check:
- 256 in Binary - 100000000
- 7 in Binary - 111
- 223 in Binary - 11011111
- 222 in Binary - 11011110
- 133 in Binary - 10000101
- 146 in Binary - 10010010
- 170 in Binary - 10101010