113 in Binary
113 in binary is 1110001. 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 113 in binary. In this article, let us learn how to convert the decimal number 113 to binary.
How to Convert 113 in Binary?
Step 1: Divide 113 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 |
|---|---|
| 113/2 = 56 | 1 |
| 56/2 = 28 | 0 |
| 28/2 = 14 | 0 |
| 14/2 = 7 | 0 |
| 7/2 = 3 | 1 |
| 3/2 = 1 | 1 |
| 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 113.
Therefore, the binary equivalent of decimal number 113 is 1110001.
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Let us have a look at the value of the decimal number 113 in the different number systems.
- 113 in Binary: 113₁₀ = 1110001₂
- 113 in Octal: 113₁₀ = 161₈
- 113 in Hexadecimal: 113₁₀ = 71₁₆
- 1110001₂ in Decimal: 113₁₀
Problem Statements:
| What is 113 in Binary? - (Base 2) | (1110001)₂ |
| What is 113 in Hexadecimal? - (Base 16) | (71)₁₆ |
| What is 113 in Octal? - (Base 8) | (161)₈ |
| Square Root of 113 | 10.630146 |
| Is 113 a Composite Number? | No |
| Is 113 a Prime Number? | Yes |
| Cube Root of 113 | 4.834588 |
| Is 113 a Perfect Square? | No |
| Is 113 a Perfect Cube? | No |
FAQs on 113 in Binary
What is 113 in Binary?
113 in binary is 1110001. To find decimal to binary equivalent, divide 113 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 9 × 113 in Binary Form.
We know that 113 in binary is 1110001 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 1110001 × 1001 = 1111111001 which is 1017 in the decimal number system. [113 × 9 = 1017]
How to Convert 113 to Binary Equivalent?
We can divide 113 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 113 mod 2 = 1 - LSB (Least Significant Bit)
- 56 mod 2 = 0
- 28 mod 2 = 0
- 14 mod 2 = 0
- 7 mod 2 = 1
- 3 mod 2 = 1
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 113 in binary can be represented as 1110001.
What is the Binary Equivalent of 113 + 99?
113 in binary number system is 1110001 and 99 is 1100011. We can add the binary equivalent of 113 and 99 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, (1110001)₂ + (1100011)₂ = (11010100)₂ which is nothing but 212.
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How Many Bits Does 113 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 113 in binary i.e. 1110001. Therefore, we have used 7 bits to represent 113 in binary.
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