84 in Binary
84 in binary is 1010100. 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 84 in binary. In this article, let us learn how to convert the decimal number 84 to binary.
How to Convert 84 in Binary?
Step 1: Divide 84 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 |
|---|---|
| 84/2 = 42 | 0 |
| 42/2 = 21 | 0 |
| 21/2 = 10 | 1 |
| 10/2 = 5 | 0 |
| 5/2 = 2 | 1 |
| 2/2 = 1 | 0 |
| 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 84.
Therefore, the binary equivalent of decimal number 84 is 1010100.
Let us have a look at the value of the decimal number 84 in the different number systems.
- 84 in Binary: 84₁₀ = 1010100₂
- 84 in Octal: 84₁₀ = 124₈
- 84 in Hexadecimal: 84₁₀ = 54₁₆
- 1010100₂ in Decimal: 84₁₀
Problem Statements:
| What is 84 in Binary? - (Base 2) | (1010100)₂ |
| What is 84 in Hexadecimal? - (Base 16) | (54)₁₆ |
| What is 84 in Octal? - (Base 8) | (124)₈ |
| Is 84 a Perfect Cube? | No |
| Is 84 a Composite Number? | Yes |
| Cube Root of 84 | 4.379519 |
| Square Root of 84 | 9.165151 |
| Is 84 a Prime Number? | No |
| Is 84 a Perfect Square? | No |
☛ Related Topics
- Decimal to Binary Calculator
- Binary to Decimal Calculator
- Binary to Decimal
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- 52 in Binary - 110100
- 77 in Binary - 1001101
FAQs on 84 in Binary
What is 84 in Binary?
84 in binary is 1010100. To find decimal to binary equivalent, divide 84 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.
What is the Binary Equivalent of 84 + 33?
84 in binary number system is 1010100 and 33 is 100001. We can add the binary equivalent of 84 and 33 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, (1010100)₂ + (100001)₂ = (1110101)₂ which is nothing but 117.
Find the Value of 10 × 84 in Binary Form.
We know that 84 in binary is 1010100 and 10 is 1010. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1010100 × 1010 = 1101001000 which is 840 in the decimal number system. [84 × 10 = 840]
How Many Bits Does 84 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 84 in binary i.e. 1010100. Therefore, we have used 7 bits to represent 84 in binary.
How to Convert 84 to Binary Equivalent?
We can divide 84 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 84 mod 2 = 0 - LSB (Least Significant Bit)
- 42 mod 2 = 0
- 21 mod 2 = 1
- 10 mod 2 = 0
- 5 mod 2 = 1
- 2 mod 2 = 0
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 84 in binary can be represented as 1010100.