130 in Binary
130 in binary is 10000010. 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 8 bits to represent 130 in binary. In this article, let us learn how to convert the decimal number 130 to binary.
How to Convert 130 in Binary?
Step 1: Divide 130 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 |
|---|---|
| 130/2 = 65 | 0 |
| 65/2 = 32 | 1 |
| 32/2 = 16 | 0 |
| 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 130.
Therefore, the binary equivalent of decimal number 130 is 10000010.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 130 in the different number systems.
- 130 in Binary: 130₁₀ = 10000010₂
- 130 in Octal: 130₁₀ = 202₈
- 130 in Hexadecimal: 130₁₀ = 82₁₆
- 10000010₂ in Decimal: 130₁₀
Problem Statements:
| What is 130 in Binary? - (Base 2) | (10000010)₂ |
| What is 130 in Hexadecimal? - (Base 16) | (82)₁₆ |
| What is 130 in Octal? - (Base 8) | (202)₈ |
| Is 130 a Composite Number? | Yes |
| Square Root of 130 | 11.401754 |
| Is 130 a Perfect Square? | No |
| Is 130 a Prime Number? | No |
| Is 130 a Perfect Cube? | No |
| Cube Root of 130 | 5.065797 |
FAQs on 130 in Binary
What is 130 in Binary?
130 in binary is 10000010. To find decimal to binary equivalent, divide 130 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 130 + 91?
130 in binary number system is 10000010 and 91 is 1011011. We can add the binary equivalent of 130 and 91 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, (10000010)₂ + (1011011)₂ = (11011101)₂ which is nothing but 221.
☛ Binary to Decimal Calculator
Find the Value of 10 × 130 in Binary Form.
We know that 130 in binary is 10000010 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 10000010 × 1010 = 10100010100 which is 1300 in the decimal number system. [130 × 10 = 1300]
How to Convert 130 to Binary Equivalent?
We can divide 130 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 130 mod 2 = 0 - LSB (Least Significant Bit)
- 65 mod 2 = 1
- 32 mod 2 = 0
- 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 130 in binary can be represented as 10000010.
How Many Bits Does 130 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 130 in binary i.e. 10000010. Therefore, we have used 8 bits to represent 130 in binary.
☛ Also Check:
- 209 in Binary - 11010001
- 247 in Binary - 11110111
- 144 in Binary - 10010000
- 129 in Binary - 10000001
- 223 in Binary - 11011111
- 131 in Binary - 10000011
- 48 in Binary - 110000