48 in Binary
48 in binary is 110000. 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 48 in binary. In this article, let us learn how to convert the decimal number 48 to binary.
How to Convert 48 in Binary?
Step 1: Divide 48 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 |
|---|---|
| 48/2 = 24 | 0 |
| 24/2 = 12 | 0 |
| 12/2 = 6 | 0 |
| 6/2 = 3 | 0 |
| 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 48.
Therefore, the binary equivalent of decimal number 48 is 110000.
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Let us have a look at the value of the decimal number 48 in the different number systems.
- 48 in Binary: 48₁₀ = 110000₂
- 48 in Octal: 48₁₀ = 60₈
- 48 in Hexadecimal: 48₁₀ = 30₁₆
- 110000₂ in Decimal: 48₁₀
Problem Statements:
| What is 48 in Binary? - (Base 2) | (110000)₂ |
| What is 48 in Hexadecimal? - (Base 16) | (30)₁₆ |
| What is 48 in Octal? - (Base 8) | (60)₈ |
| Is 48 a Composite Number? | Yes |
| Square Root of 48 | 6.928203 |
| Is 48 a Prime Number? | No |
| Is 48 a Perfect Square? | No |
| Is 48 a Perfect Cube? | No |
| Cube Root of 48 | 3.634241 |
FAQs on 48 in Binary
What is 48 in Binary?
48 in binary is 110000. To find decimal to binary equivalent, divide 48 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 × 48 in Binary Form.
We know that 48 in binary is 110000 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 110000 × 111 = 101010000 which is 336 in the decimal number system. [48 × 7 = 336]
How Many Bits Does 48 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 48 in binary i.e. 110000. Therefore, we have used 6 bits to represent 48 in binary.
What is the Binary Equivalent of 48 + 48?
48 in binary number system is 110000 and 48 is 110000. We can add the binary equivalent of 48 and 48 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, (110000)₂ + (110000)₂ = (1100000)₂ which is nothing but 96.
☛ Binary to Decimal Calculator
How to Convert 48 to Binary Equivalent?
We can divide 48 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 48 mod 2 = 0 - LSB (Least Significant Bit)
- 24 mod 2 = 0
- 12 mod 2 = 0
- 6 mod 2 = 0
- 3 mod 2 = 1
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 48 in binary can be represented as 110000.
☛ Also Check:
- 127 in Binary - 1111111
- 199 in Binary - 11000111
- 95 in Binary - 1011111
- 222 in Binary - 11011110
- 1024 in Binary - 10000000000
- 37 in Binary - 100101
- 139 in Binary - 10001011