90 in Binary
90 in binary is 1011010. 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 90 in binary. In this article, let us learn how to convert the decimal number 90 to binary.
How to Convert 90 in Binary?
Step 1: Divide 90 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 |
|---|---|
| 90/2 = 45 | 0 |
| 45/2 = 22 | 1 |
| 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 90.
Therefore, the binary equivalent of decimal number 90 is 1011010.
Let us have a look at the value of the decimal number 90 in the different number systems.
- 90 in Binary: 90₁₀ = 1011010₂
- 90 in Octal: 90₁₀ = 132₈
- 90 in Hexadecimal: 90₁₀ = 5A₁₆
- 1011010₂ in Decimal: 90₁₀
Problem Statements:
| What is 90 in Binary? - (Base 2) | (1011010)₂ |
| What is 90 in Hexadecimal? - (Base 16) | (5A)₁₆ |
| What is 90 in Octal? - (Base 8) | (132)₈ |
| Is 90 a Prime Number? | No |
| Is 90 a Perfect Cube? | No |
| Is 90 a Composite Number? | Yes |
| Square Root of 90 | 9.486833 |
| Is 90 a Perfect Square? | No |
| Cube Root of 90 | 4.481405 |
☛Related Topics
- Decimal to Binary Calculator
- Binary to Decimal
- Binary to Decimal Calculator
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- 74 in Binary - 1001010
FAQs on 90 in Binary
What is 90 in Binary?
90 in binary is 1011010. To find decimal to binary equivalent, divide 90 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 5 × 90 in Binary Form.
We know that 90 in binary is 1011010 and 5 is 101. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1011010 × 101 = 111000010 which is 450 in the decimal number system. [90 × 5 = 450]
How to Convert 90 to Binary Equivalent?
We can divide 90 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 90 mod 2 = 0 - LSB (Least Significant Bit)
- 45 mod 2 = 1
- 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 90 in binary can be represented as 1011010.
What is the Binary Equivalent of 90 + 51?
90 in binary number system is 1011010 and 51 is 110011. We can add the binary equivalent of 90 and 51 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, (1011010)₂ + (110011)₂ = (10001101)₂ which is nothing but 141.
How Many Bits Does 90 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 90 in binary, i.e., 1011010. Therefore, we have used 7 bits to represent 90 in binary.