45 in binary is 101101. 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 45 in binary. In this article, let us learn how to convert the decimal number 45 to binary.
How to Convert 45 in Binary?
Step 1: Divide 45 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 |
|---|---|
| 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 45.
Therefore, the binary equivalent of decimal number 45 is 101101.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 45 in the different number systems.
- 45 in Binary: 45₁₀ = 101101₂
- 45 in Octal: 45₁₀ = 55₈
- 45 in Hexadecimal: 45₁₀ = 2D₁₆
- 101101₂ in Decimal: 45₁₀
Problem Statements:
| What is 45 in Binary? - (Base 2) | (101101)₂ |
| What is 45 in Hexadecimal? - (Base 16) | (2D)₁₆ |
| What is 45 in Octal? - (Base 8) | (55)₈ |
| Cube Root of 45 | 3.556893 |
| Is 45 a Composite Number? | Yes |
| Is 45 a Perfect Cube? | No |
| Square Root of 45 | 6.708204 |
| Is 45 a Prime Number? | No |
| Is 45 a Perfect Square? | No |
FAQs on 45 in Binary
What is 45 in Binary?
45 in binary is 101101. To find decimal to binary equivalent, divide 45 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 45 to Binary Equivalent?
We can divide 45 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 45 mod 2 = 1 - LSB (Least Significant Bit)
- 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 45 in binary can be represented as 101101.
What is the Binary Equivalent of 45 + 40?
45 in binary number system is 101101 and 40 is 101000. We can add the binary equivalent of 45 and 40 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, (101101)₂ + (101000)₂ = (1010101)₂ which is nothing but 85.
☛ Binary to Decimal Calculator
How Many Bits Does 45 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 45 in binary, i.e., 101101. Therefore, we have used 6 bits to represent 45 in binary.
Find the Value of 9 × 45 in Binary Form.
We know that 45 in binary is 101101 and 9 is 1001. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 101101 × 1001 = 110010101 which is 405 in the decimal number system. [45 × 9 = 405]
☛ Also Check:
- 1 in Binary - 1
- 92 in Binary - 1011100
- 13 in Binary - 1101
- 43 in Binary - 101011
- 21 in Binary - 10101
- 88 in Binary - 1011000
- 64 in Binary - 1000000
