64 in Binary
64 in binary is 1000000. 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 64 in binary. In this article, let us learn how to convert the decimal number 64 to binary.
How to Convert 64 in Binary?
Step 1: Divide 64 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 |
|---|---|
| 64/2 = 32 | 0 |
| 32/2 = 16 | 0 |
| 16/2 = 8 | 0 |
| 8/2 = 4 | 0 |
| 4/2 = 2 | 0 |
| 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 64.
Therefore, the binary equivalent of decimal number 64 is 1000000.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 64 in the different number systems.
- 64 in Binary: 64₁₀ = 1000000₂
- 64 in Octal: 64₁₀ = 100₈
- 64 in Hexadecimal: 64₁₀ = 40₁₆
- 1000000₂ in Decimal: 64₁₀
Problem Statements:
| What is 64 in Binary? - (Base 2) | (1000000)₂ |
| What is 64 in Hexadecimal? - (Base 16) | (40)₁₆ |
| What is 64 in Octal? - (Base 8) | (100)₈ |
| Is 64 a Prime Number? | No |
| Is 64 a Composite Number? | Yes |
| Is 64 a Perfect Cube? | No |
| Is 64 a Perfect Square? | Yes |
| Cube Root of 64 | 4.0 |
| Square Root of 64 | 8 |
FAQs on 64 in Binary
What is 64 in Binary?
64 in binary is 1000000. To find decimal to binary equivalent, divide 64 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 64 to Binary Equivalent?
We can divide 64 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 64 mod 2 = 0 - LSB (Least Significant Bit)
- 32 mod 2 = 0
- 16 mod 2 = 0
- 8 mod 2 = 0
- 4 mod 2 = 0
- 2 mod 2 = 0
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 64 in binary can be represented as 1000000.
What is the Binary Equivalent of 64 + 11?
64 in binary number system is 1000000 and 11 is 1011. We can add the binary equivalent of 64 and 11 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, (1000000)₂ + (1011)₂ = (1001011)₂ which is nothing but 75.
☛ Binary to Decimal Calculator
Find the Value of 7 × 64 in Binary Form.
We know that 64 in binary is 1000000 and 7 is 111. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1000000 × 111 = 111000000 which is 448 in the decimal number system. [64 × 7 = 448]
How Many Bits Does 64 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 64 in binary i.e. 1000000. Therefore, we have used 7 bits to represent 64 in binary.
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