124 in Binary
124 in binary is 1111100. 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 124 in binary. In this article, let us learn how to convert the decimal number 124 to binary.
How to Convert 124 in Binary?
Step 1: Divide 124 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 |
|---|---|
| 124/2 = 62 | 0 |
| 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 124.
Therefore, the binary equivalent of decimal number 124 is 1111100.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 124 in the different number systems.
- 124 in Binary: 124₁₀ = 1111100₂
- 124 in Octal: 124₁₀ = 174₈
- 124 in Hexadecimal: 124₁₀ = 7C₁₆
- 1111100₂ in Decimal: 124₁₀
Problem Statements:
| What is 124 in Binary? - (Base 2) | (1111100)₂ |
| What is 124 in Hexadecimal? - (Base 16) | (7C)₁₆ |
| What is 124 in Octal? - (Base 8) | (174)₈ |
| Square Root of 124 | 11.135529 |
| Is 124 a Prime Number? | No |
| Cube Root of 124 | 4.986631 |
| Is 124 a Composite Number? | Yes |
| Is 124 a Perfect Cube? | No |
| Is 124 a Perfect Square? | No |
FAQs on 124 in Binary
What is 124 in Binary?
124 in binary is 1111100. To find decimal to binary equivalent, divide 124 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.
How Many Bits Does 124 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 124 in binary i.e. 1111100. Therefore, we have used 7 bits to represent 124 in binary.
How to Convert 124 to Binary Equivalent?
We can divide 124 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 124 mod 2 = 0 - 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 124 in binary can be represented as 1111100.
Find the Value of 9 × 124 in Binary Form.
We know that 124 in binary is 1111100 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 1111100 × 1001 = 10001011100 which is 1116 in the decimal number system. [124 × 9 = 1116]
What is the Binary Equivalent of 124 + 70?
124 in binary number system is 1111100 and 70 is 1000110. We can add the binary equivalent of 124 and 70 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, (1111100)₂ + (1000110)₂ = (11000010)₂ which is nothing but 194.
☛ Also Check:
- 248 in Binary - 11111000
- 77 in Binary - 1001101
- 256 in Binary - 100000000
- 27 in Binary - 11011
- 1100 in Binary - 10001001100
- 45 in Binary - 101101
- 38 in Binary - 100110