89 in Binary
89 in binary is 1011001. 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 89 in binary. In this article, let us learn how to convert the decimal number 89 to binary.
How to Convert 89 in Binary?
Step 1: Divide 89 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 |
|---|---|
| 89/2 = 44 | 1 |
| 44/2 = 22 | 0 |
| 22/2 = 11 | 0 |
| 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 89.
Therefore, the binary equivalent of decimal number 89 is 1011001.
Let us have a look at the value of the decimal number 89 in the different number systems.
- 89 in Binary: 89₁₀ = 1011001₂
- 89 in Octal: 89₁₀ = 131₈
- 89 in Hexadecimal: 89₁₀ = 59₁₆
- 1011001₂ in Decimal: 89₁₀
Problem Statements
| What is 89 in Binary? - (Base 2) | (1011001)₂ |
| What is 89 in Hexadecimal? - (Base 16) | (59)₁₆ |
| What is 89 in Octal? - (Base 8) | (131)₈ |
| Is 89 a Composite Number? | No |
| Cube Root of 89 | 4.464745 |
| Is 89 a Prime Number? | Yes |
| Is 89 a Perfect Cube? | No |
| Is 89 a Perfect Square? | No |
| Square Root of 89 | 9.433981 |
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FAQs on 89 in Binary
What is 89 in Binary?
89 in binary is 1011001. To find decimal to binary equivalent, divide 89 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 3 × 89 in Binary Form.
We know that 89 in binary is 1011001 and 3 is 11. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1011001 × 11 = 100001011 which is 267 in the decimal number system. [89 × 3 = 267]
How Many Bits Does 89 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 89 in binary i.e. 1011001. Therefore, we have used 7 bits to represent 89 in binary.
What is the Binary Equivalent of 89 + 89?
89 in binary number system is 1011001 and 89 is 1011001. We can add the binary equivalent of 89 and 89 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, (1011001)₂ + (1011001)₂ = (10110010)₂ which is nothing but 178.
How to Convert 89 to Binary Equivalent?
We can divide 89 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 89 mod 2 = 1 - LSB (Least Significant Bit)
- 44 mod 2 = 0
- 22 mod 2 = 0
- 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 89 in binary can be represented as 1011001.