120 in Binary
120 in binary is 1111000. 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 120 in binary. In this article, let us learn how to convert the decimal number 120 to binary.
How to Convert 120 in Binary?
Step 1: Divide 120 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 |
|---|---|
| 120/2 = 60 | 0 |
| 60/2 = 30 | 0 |
| 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 120.
Therefore, the binary equivalent of decimal number 120 is 1111000.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 120 in the different number systems.
- 120 in Binary: 120₁₀ = 1111000₂
- 120 in Octal: 120₁₀ = 170₈
- 120 in Hexadecimal: 120₁₀ = 78₁₆
- 1111000₂ in Decimal: 120₁₀
Problem Statements:
| What is 120 in Binary? - (Base 2) | (1111000)₂ |
| What is 120 in Hexadecimal? - (Base 16) | (78)₁₆ |
| What is 120 in Octal? - (Base 8) | (170)₈ |
| Is 120 a Perfect Square? | No |
| Is 120 a Composite Number? | Yes |
| Cube Root of 120 | 4.932424 |
| Is 120 a Prime Number? | No |
| Square Root of 120 | 10.954451 |
| Is 120 a Perfect Cube? | No |
FAQs on 120 in Binary
What is 120 in Binary?
120 in binary is 1111000. To find decimal to binary equivalent, divide 120 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 × 120 in Binary Form.
We know that 120 in binary is 1111000 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 1111000 × 11 = 101101000 which is 360 in the decimal number system. [120 × 3 = 360]
How to Convert 120 to Binary Equivalent?
We can divide 120 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 120 mod 2 = 0 - LSB (Least Significant Bit)
- 60 mod 2 = 0
- 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 120 in binary can be represented as 1111000.
What is the Binary Equivalent of 120 + 99?
120 in binary number system is 1111000 and 99 is 1100011. We can add the binary equivalent of 120 and 99 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, (1111000)₂ + (1100011)₂ = (11011011)₂ which is nothing but 219.
☛ Binary to Decimal Calculator
How Many Bits Does 120 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 120 in binary i.e. 1111000. Therefore, we have used 7 bits to represent 120 in binary.
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