60 in Binary
60 in binary is 111100. 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 60 in binary. In this article, let us learn how to convert the decimal number 60 to binary.
How to Convert 60 in Binary?
Step 1: Divide 60 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 |
|---|---|
| 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 60.
Therefore, the binary equivalent of decimal number 60 is 111100.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 60 in the different number systems.
- 60 in Binary: 60₁₀ = 111100₂
- 60 in Octal: 60₁₀ = 74₈
- 60 in Hexadecimal: 60₁₀ = 3C₁₆
- 111100₂ in Decimal: 60₁₀
Problem Statements:
| What is 60 in Binary? - (Base 2) | (111100)₂ |
| What is 60 in Hexadecimal? - (Base 16) | (3C)₁₆ |
| What is 60 in Octal? - (Base 8) | (74)₈ |
| Is 60 a Composite Number? | Yes |
| Is 60 a Prime Number? | No |
| Is 60 a Perfect Cube? | No |
| Is 60 a Perfect Square? | No |
| Cube Root of 60 | 3.914868 |
| Square Root of 60 | 7.745967 |
FAQs on 60 in Binary
What is 60 in Binary?
60 in binary is 111100. To find decimal to binary equivalent, divide 60 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 7 × 60 in Binary Form.
We know that 60 in binary is 111100 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 111100 × 111 = 110100100 which is 420 in the decimal number system. [60 × 7 = 420]
What is the Binary Equivalent of 60 + 24?
60 in binary number system is 111100 and 24 is 11000. We can add the binary equivalent of 60 and 24 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, (111100)₂ + (11000)₂ = (1010100)₂ which is nothing but 84.
☛ Binary to Decimal Calculator
How to Convert 60 to Binary Equivalent?
We can divide 60 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 60 mod 2 = 0 - LSB (Least Significant Bit)
- 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 60 in binary can be represented as 111100.
How Many Bits Does 60 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 60 in binary i.e. 111100. Therefore, we have used 6 bits to represent 60 in binary.
☛ Also Check:
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- 375 in Binary - 101110111
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- 75 in Binary - 1001011
- 215 in Binary - 11010111
- 1024 in Binary - 10000000000
- 1001 in Binary - 1111101001