33 in Binary
33 in binary is 100001. 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 6 bits to represent 33 in binary. In this article, let us learn how to convert the decimal number 33 to binary.
How to Convert 33 in Binary?
Step 1: Divide 33 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 |
|---|---|
| 33/2 = 16 | 1 |
| 16/2 = 8 | 0 |
| 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 33.
Therefore, the binary equivalent of decimal number 33 is 100001.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 33 in the different number systems.
- 33 in Binary: 33₁₀ = 100001₂
- 33 in Octal: 33₁₀ = 41₈
- 33 in Hexadecimal: 33₁₀ = 21₁₆
- 100001₂ in Decimal: 33₁₀
Problem Statements:
| What is 33 in Binary? - (Base 2) | (100001)₂ |
| What is 33 in Hexadecimal? - (Base 16) | (21)₁₆ |
| What is 33 in Octal? - (Base 8) | (41)₈ |
| Is 33 a Composite Number? | Yes |
| Is 33 a Perfect Cube? | No |
| Cube Root of 33 | 3.207534 |
| Square Root of 33 | 5.744563 |
| Is 33 a Perfect Square? | No |
| Is 33 a Prime Number? | No |
FAQs on 33 in Binary
What is 33 in Binary?
33 in binary is 100001. To find decimal to binary equivalent, divide 33 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 33 to Binary Equivalent?
We can divide 33 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 33 mod 2 = 1 - LSB (Least Significant Bit)
- 16 mod 2 = 0
- 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 33 in binary can be represented as 100001.
How Many Bits Does 33 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 33 in binary i.e. 100001. Therefore, we have used 6 bits to represent 33 in binary.
Find the Value of 10 × 33 in Binary Form.
We know that 33 in binary is 100001 and 10 is 1010. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 100001 × 1010 = 101001010 which is 330 in the decimal number system. [33 × 10 = 330]
What is the Binary Equivalent of 33 + 15?
33 in binary number system is 100001 and 15 is 1111. We can add the binary equivalent of 33 and 15 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, (100001)₂ + (1111)₂ = (110000)₂ which is nothing but 48.
☛ Also Check:
- 1 in Binary - 1
- 19 in Binary - 10011
- 175 in Binary - 10101111
- 17 in Binary - 10001
- 511 in Binary - 111111111
- 4 in Binary - 100
- 21 in Binary - 10101