125 in Binary
125 in binary is 1111101. 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 125 in binary. In this article, let us learn how to convert the decimal number 125 to binary.
How to Convert 125 in Binary?
Step 1: Divide 125 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 |
|---|---|
| 125/2 = 62 | 1 |
| 62/2 = 31 | 0 |
| 31/2 = 15 | 1 |
| 15/2 = 7 | 1 |
| 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 125.
Therefore, the binary equivalent of decimal number 125 is 1111101.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 125 in the different number systems.
- 125 in Binary: 125₁₀ = 1111101₂
- 125 in Octal: 125₁₀ = 175₈
- 125 in Hexadecimal: 125₁₀ = 7D₁₆
- 1111101₂ in Decimal: 125₁₀
Problem Statements:
| What is 125 in Binary? - (Base 2) | (1111101)₂ |
| What is 125 in Hexadecimal? - (Base 16) | (7D)₁₆ |
| What is 125 in Octal? - (Base 8) | (175)₈ |
| Square Root of 125 | 11.18034 |
| Is 125 a Perfect Cube? | Yes |
| Cube Root of 125 | 5 |
| Is 125 a Prime Number? | No |
| Is 125 a Composite Number? | Yes |
| Is 125 a Perfect Square? | No |
FAQs on 125 in Binary
What is 125 in Binary?
125 in binary is 1111101. To find decimal to binary equivalent, divide 125 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 125 + 40?
125 in binary number system is 1111101 and 40 is 101000. We can add the binary equivalent of 125 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, (1111101)₂ + (101000)₂ = (10100101)₂ which is nothing but 165.
☛ Binary to Decimal Calculator
How Many Bits Does 125 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 125 in binary i.e. 1111101. Therefore, we have used 7 bits to represent 125 in binary.
How to Convert 125 to Binary Equivalent?
We can divide 125 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 125 mod 2 = 1 - LSB (Least Significant Bit)
- 62 mod 2 = 0
- 31 mod 2 = 1
- 15 mod 2 = 1
- 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 125 in binary can be represented as 1111101.
Find the Value of 6 × 125 in Binary Form.
We know that 125 in binary is 1111101 and 6 is 110. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1111101 × 110 = 1011101110 which is 750 in the decimal number system. [125 × 6 = 750]
☛ Also Check:
- 7 in Binary - 111
- 35 in Binary - 100011
- 199 in Binary - 11000111
- 140 in Binary - 10001100
- 180 in Binary - 10110100
- 15 in Binary - 1111
- 155 in Binary - 10011011