126 in Binary
126 in binary is 1111110. 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 126 in binary. In this article, let us learn how to convert the decimal number 126 to binary.
How to Convert 126 in Binary?
Step 1: Divide 126 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 |
|---|---|
| 126/2 = 63 | 0 |
| 63/2 = 31 | 1 |
| 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 126.
Therefore, the binary equivalent of decimal number 126 is 1111110.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 126 in the different number systems.
- 126 in Binary: 126₁₀ = 1111110₂
- 126 in Octal: 126₁₀ = 176₈
- 126 in Hexadecimal: 126₁₀ = 7E₁₆
- 1111110₂ in Decimal: 126₁₀
Problem Statements:
| What is 126 in Binary? - (Base 2) | (1111110)₂ |
| What is 126 in Hexadecimal? - (Base 16) | (7E)₁₆ |
| What is 126 in Octal? - (Base 8) | (176)₈ |
| Is 126 a Perfect Cube? | No |
| Cube Root of 126 | 5.013298 |
| Square Root of 126 | 11.224972 |
| Is 126 a Perfect Square? | No |
| Is 126 a Prime Number? | No |
| Is 126 a Composite Number? | Yes |
FAQs on 126 in Binary
What is 126 in Binary?
126 in binary is 1111110. To find decimal to binary equivalent, divide 126 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 3 × 126 in Binary Form.
We know that 126 in binary is 1111110 and 3 is 11. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1111110 × 11 = 101111010 which is 378 in the decimal number system. [126 × 3 = 378]
How Many Bits Does 126 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 126 in binary i.e. 1111110. Therefore, we have used 7 bits to represent 126 in binary.
How to Convert 126 to Binary Equivalent?
We can divide 126 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 126 mod 2 = 0 - LSB (Least Significant Bit)
- 63 mod 2 = 1
- 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 126 in binary can be represented as 1111110.
What is the Binary Equivalent of 126 + 74?
126 in binary number system is 1111110 and 74 is 1001010. We can add the binary equivalent of 126 and 74 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, (1111110)₂ + (1001010)₂ = (11001000)₂ which is nothing but 200.
☛ Also Check:
- 224 in Binary - 11100000
- 38 in Binary - 100110
- 63 in Binary - 111111
- 205 in Binary - 11001101
- 34 in Binary - 100010
- 109 in Binary - 1101101
- 192 in Binary - 11000000