189 in Binary
189 in binary is 10111101. 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 8 bits to represent 189 in binary. In this article, let us learn how to convert the decimal number 189 to binary.
How to Convert 189 in Binary?
Step 1: Divide 189 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 |
|---|---|
| 189/2 = 94 | 1 |
| 94/2 = 47 | 0 |
| 47/2 = 23 | 1 |
| 23/2 = 11 | 1 |
| 11/2 = 5 | 1 |
| 5/2 = 2 | 1 |
| 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 189.
Therefore, the binary equivalent of decimal number 189 is 10111101.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 189 in the different number systems.
- 189 in Binary: 189₁₀ = 10111101₂
- 189 in Octal: 189₁₀ = 275₈
- 189 in Hexadecimal: 189₁₀ = BD₁₆
- 10111101₂ in Decimal: 189₁₀
Problem Statements:
| What is 189 in Binary? - (Base 2) | (10111101)₂ |
| What is 189 in Hexadecimal? - (Base 16) | (BD)₁₆ |
| What is 189 in Octal? - (Base 8) | (275)₈ |
| Is 189 a Prime Number? | No |
| Is 189 a Composite Number? | Yes |
| Is 189 a Perfect Cube? | No |
| Cube Root of 189 | 5.738794 |
| Is 189 a Perfect Square? | No |
| Square Root of 189 | 13.747727 |
FAQs on 189 in Binary
What is 189 in Binary?
189 in binary is 10111101. To find decimal to binary equivalent, divide 189 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 189 to Binary Equivalent?
We can divide 189 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 189 mod 2 = 1 - LSB (Least Significant Bit)
- 94 mod 2 = 0
- 47 mod 2 = 1
- 23 mod 2 = 1
- 11 mod 2 = 1
- 5 mod 2 = 1
- 2 mod 2 = 0
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 189 in binary can be represented as 10111101.
How Many Bits Does 189 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 189 in binary i.e. 10111101. Therefore, we have used 8 bits to represent 189 in binary.
What is the Binary Equivalent of 189 + 9?
189 in binary number system is 10111101 and 9 is 1001. We can add the binary equivalent of 189 and 9 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, (10111101)₂ + (1001)₂ = (11000110)₂ which is nothing but 198.
☛ Binary to Decimal Calculator
Find the Value of 7 × 189 in Binary Form.
We know that 189 in binary is 10111101 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 10111101 × 111 = 10100101011 which is 1323 in the decimal number system. [189 × 7 = 1323]
☛ Also Check:
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