123 in Binary
123 in binary is 1111011. 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 123 in binary. In this article, let us learn how to convert the decimal number 123 to binary.
How to Convert 123 in Binary?
Step 1: Divide 123 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 |
|---|---|
| 123/2 = 61 | 1 |
| 61/2 = 30 | 1 |
| 30/2 = 15 | 0 |
| 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 123.
Therefore, the binary equivalent of decimal number 123 is 1111011.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 123 in the different number systems.
- 123 in Binary: 123₁₀ = 1111011₂
- 123 in Octal: 123₁₀ = 173₈
- 123 in Hexadecimal: 123₁₀ = 7B₁₆
- 1111011₂ in Decimal: 123₁₀
Problem Statements:
| What is 123 in Binary? - (Base 2) | (1111011)₂ |
| What is 123 in Hexadecimal? - (Base 16) | (7B)₁₆ |
| What is 123 in Octal? - (Base 8) | (173)₈ |
| Is 123 a Composite Number? | Yes |
| Square Root of 123 | 11.090537 |
| Cube Root of 123 | 4.97319 |
| Is 123 a Perfect Square? | No |
| Is 123 a Prime Number? | No |
| Is 123 a Perfect Cube? | No |
FAQs on 123 in Binary
What is 123 in Binary?
123 in binary is 1111011. To find decimal to binary equivalent, divide 123 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 to Convert 123 to Binary Equivalent?
We can divide 123 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 123 mod 2 = 1 - LSB (Least Significant Bit)
- 61 mod 2 = 1
- 30 mod 2 = 0
- 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 123 in binary can be represented as 1111011.
How Many Bits Does 123 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 123 in binary i.e. 1111011. Therefore, we have used 7 bits to represent 123 in binary.
What is the Binary Equivalent of 123 + 84?
123 in binary number system is 1111011 and 84 is 1010100. We can add the binary equivalent of 123 and 84 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, (1111011)₂ + (1010100)₂ = (11001111)₂ which is nothing but 207.
☛ Binary to Decimal Calculator
Find the Value of 2 × 123 in Binary Form.
We know that 123 in binary is 1111011 and 2 is 10. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1111011 × 10 = 11110110 which is 246 in the decimal number system. [123 × 2 = 246]
☛ Also Check:
- 89 in Binary - 1011001
- 101 in Binary - 1100101
- 192 in Binary - 11000000
- 255 in Binary - 11111111
- 60 in Binary - 111100
- 12 in Binary - 1100
- 247 in Binary - 11110111