87 in binary is 1010111. 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 87 in binary. In this article, let us learn how to convert the decimal number 87 to binary.
How to Convert 87 in Binary?
Step 1: Divide 87 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 |
|---|---|
| 87/2 = 43 | 1 |
| 43/2 = 21 | 1 |
| 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 87.
Therefore, the binary equivalent of decimal number 87 is 1010111.
Let us have a look at the value of the decimal number 87 in the different number systems.
- 87 in Binary: 87₁₀ = 1010111₂
- 87 in Octal: 87₁₀ = 127₈
- 87 in Hexadecimal: 87₁₀ = 57₁₆
- 1010111₂ in Decimal: 87₁₀
Problem Statements:
| What is 87 in Binary? - (Base 2) | (1010111)₂ |
| What is 87 in Hexadecimal? - (Base 16) | (57)₁₆ |
| What is 87 in Octal? - (Base 8) | (127)₈ |
| Is 87 a Perfect Cube? | No |
| Is 87 a Composite Number? | Yes |
| Is 87 a Prime Number? | No |
| Is 87 a Perfect Square? | No |
| Cube Root of 87 | 4.431048 |
| Square Root of 87 | 9.327379 |
☛ Related Topics
- Decimal to Binary Calculator
- Binary to Decimal Calculator
- Binary to Decimal
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- 17 in Binary - 10001
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- 172 in Binary - 10101100
- 93 in Binary - 1011101
FAQs on 87 in Binary
What is 87 in Binary?
87 in binary is 1010111. To find decimal to binary equivalent, divide 87 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 × 87 in Binary Form.
We know that 87 in binary is 1010111 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 1010111 × 11 = 100000101 which is 261 in the decimal number system. [87 × 3 = 261]
How Many Bits Does 87 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 87 in binary, i.e., 1010111. Therefore, we have used 7 bits to represent 87 in binary.
What is the Binary Equivalent of 87 + 42?
87 in binary number system is 1010111 and 42 is 101010. We can add the binary equivalent of 87 and 42 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, (1010111)₂ + (101010)₂ = (10000001)₂ which is nothing but 129.
How to Convert 87 to Binary Equivalent?
We can divide 87 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 87 mod 2 = 1 - LSB (Least Significant Bit)
- 43 mod 2 = 1
- 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 87 in binary can be represented as 1010111.
