121 in Binary
121 in binary is 1111001. 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 121 in binary. In this article, let us learn how to convert the decimal number 121 to binary.
How to Convert 121 in Binary?
Step 1: Divide 121 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 |
|---|---|
| 121/2 = 60 | 1 |
| 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 121.
Therefore, the binary equivalent of decimal number 121 is 1111001.
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Let us have a look at the value of the decimal number 121 in the different number systems.
- 121 in Binary: 121₁₀ = 1111001₂
- 121 in Octal: 121₁₀ = 171₈
- 121 in Hexadecimal: 121₁₀ = 79₁₆
- 1111001₂ in Decimal: 121₁₀
Problem Statements:
| What is 121 in Binary? - (Base 2) | (1111001)₂ |
| What is 121 in Hexadecimal? - (Base 16) | (79)₁₆ |
| What is 121 in Octal? - (Base 8) | (171)₈ |
| Is 121 a Prime Number? | No |
| Cube Root of 121 | 4.946087 |
| Square Root of 121 | 11 |
| Is 121 a Perfect Cube? | No |
| Is 121 a Perfect Square? | Yes |
| Is 121 a Composite Number? | Yes |
FAQs on 121 in Binary
What is 121 in Binary?
121 in binary is 1111001. To find decimal to binary equivalent, divide 121 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 121 to Binary Equivalent?
We can divide 121 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 121 mod 2 = 1 - 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 121 in binary can be represented as 1111001.
Find the Value of 2 × 121 in Binary Form.
We know that 121 in binary is 1111001 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 1111001 × 10 = 11110010 which is 242 in the decimal number system. [121 × 2 = 242]
What is the Binary Equivalent of 121 + 87?
121 in binary number system is 1111001 and 87 is 1010111. We can add the binary equivalent of 121 and 87 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, (1111001)₂ + (1010111)₂ = (11010000)₂ which is nothing but 208.
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How Many Bits Does 121 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 121 in binary i.e. 1111001. Therefore, we have used 7 bits to represent 121 in binary.
☛ Also Check:
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- 160 in Binary - 10100000
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- 41 in Binary - 101001
- 192 in Binary - 11000000
- 120 in Binary - 1111000
- 77 in Binary - 1001101