23 in Binary
23 in binary is 10111. 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 5 bits to represent 23 in binary. In this article, let us learn how to convert the decimal number 23 to binary.
How to Convert 23 in Binary?
Step 1: Divide 23 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 |
|---|---|
| 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 23.
Therefore, the binary equivalent of decimal number 23 is 10111.
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Let us have a look at the value of the decimal number 23 in the different number systems.
- 23 in Binary: 23₁₀ = 10111₂
- 23 in Octal: 23₁₀ = 27₈
- 23 in Hexadecimal: 23₁₀ = 17₁₆
- 10111₂ in Decimal: 23₁₀
Problem Statements:
| What is 23 in Binary? - (Base 2) | (10111)₂ |
| What is 23 in Hexadecimal? - (Base 16) | (17)₁₆ |
| What is 23 in Octal? - (Base 8) | (27)₈ |
| Square Root of 23 | 4.795832 |
| Cube Root of 23 | 2.843867 |
| Is 23 a Perfect Cube? | No |
| Is 23 a Prime Number? | Yes |
| Is 23 a Perfect Square? | No |
| Is 23 a Composite Number? | No |
FAQs on 23 in Binary
What is 23 in Binary?
23 in binary is 10111. To find decimal to binary equivalent, divide 23 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.
What is the Binary Equivalent of 23 + 9?
23 in binary number system is 10111 and 9 is 1001. We can add the binary equivalent of 23 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, (10111)₂ + (1001)₂ = (100000)₂ which is nothing but 32.
☛ Binary to Decimal Calculator
How to Convert 23 to Binary Equivalent?
We can divide 23 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 23 mod 2 = 1 - LSB (Least Significant Bit)
- 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 23 in binary can be represented as 10111.
How Many Bits Does 23 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 23 in binary i.e. 10111. Therefore, we have used 5 bits to represent 23 in binary.
Find the Value of 10 × 23 in Binary Form.
We know that 23 in binary is 10111 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 10111 × 1010 = 11100110 which is 230 in the decimal number system. [23 × 10 = 230]
☛ Also Check:
- 155 in Binary - 10011011
- 57 in Binary - 111001
- 121 in Binary - 1111001
- 25 in Binary - 11001
- 300 in Binary - 100101100
- 118 in Binary - 1110110
- 112 in Binary - 1110000