59 in Binary
59 in binary is 111011. 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 6 bits to represent 59 in binary. In this article, let us learn how to convert the decimal number 59 to binary.
How to Convert 59 in Binary?
Step 1: Divide 59 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 |
|---|---|
| 59/2 = 29 | 1 |
| 29/2 = 14 | 1 |
| 14/2 = 7 | 0 |
| 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 59.
Therefore, the binary equivalent of decimal number 59 is 111011.
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Let us have a look at the value of the decimal number 59 in the different number systems.
- 59 in Binary: 59₁₀ = 111011₂
- 59 in Octal: 59₁₀ = 73₈
- 59 in Hexadecimal: 59₁₀ = 3B₁₆
- 111011₂ in Decimal: 59₁₀
Problem Statements:
| What is 59 in Binary? - (Base 2) | (111011)₂ |
| What is 59 in Hexadecimal? - (Base 16) | (3B)₁₆ |
| What is 59 in Octal? - (Base 8) | (73)₈ |
| Is 59 a Perfect Cube? | No |
| Cube Root of 59 | 3.892996 |
| Square Root of 59 | 7.681146 |
| Is 59 a Composite Number? | No |
| Is 59 a Prime Number? | Yes |
| Is 59 a Perfect Square? | No |
FAQs on 59 in Binary
What is 59 in Binary?
59 in binary is 111011. To find decimal to binary equivalent, divide 59 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 59 + 77?
59 in binary number system is 111011 and 77 is 1001101. We can add the binary equivalent of 59 and 77 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, (111011)₂ + (1001101)₂ = (10001000)₂ which is nothing but 136.
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How to Convert 59 to Binary Equivalent?
We can divide 59 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 59 mod 2 = 1 - LSB (Least Significant Bit)
- 29 mod 2 = 1
- 14 mod 2 = 0
- 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 59 in binary can be represented as 111011.
How Many Bits Does 59 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 59 in binary i.e. 111011. Therefore, we have used 6 bits to represent 59 in binary.
Find the Value of 6 × 59 in Binary Form.
We know that 59 in binary is 111011 and 6 is 110. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 111011 × 110 = 101100010 which is 354 in the decimal number system. [59 × 6 = 354]
☛ Also Check:
- 135 in Binary - 10000111
- 74 in Binary - 1001010
- 168 in Binary - 10101000
- 1100 in Binary - 10001001100
- 221 in Binary - 11011101
- 188 in Binary - 10111100
- 173 in Binary - 10101101