96 in Binary
96 in binary is 1100000. 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 96 in binary. In this article, let us learn how to convert the decimal number 96 to binary.
How to Convert 96 in Binary?
Step 1: Divide 96 by 2. Use the quotient obtained in this step as the dividend for the next step. Repeat the process until the quotient becomes 0.
| Dividend | Remainder |
|---|---|
| 96/2 = 48 | 0 |
| 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 96.
Therefore, the binary equivalent of decimal number 96 is 1100000.
Let us have a look at the value of the decimal number 96 in the different number systems.
- 96 in Binary: 96₁₀ = 1100000₂
- 96 in Octal: 96₁₀ = 140₈
- 96 in Hexadecimal: 96₁₀ = 60₁₆
- 1100000₂ in Decimal: 96₁₀
Problem Statements:
| What is 96 in Binary? - (Base 2) | (1100000)₂ |
| What is 96 in Hexadecimal? - (Base 16) | (60)₁₆ |
| What is 96 in Octal? - (Base 8) | (140)₈ |
| Is 96 a Perfect Cube? | No |
| Is 96 a Perfect Square? | No |
| Square Root of 96 | 9.797959 |
| Is 96 a Prime Number? | No |
| Cube Root of 96 | 4.578857 |
| Is 96 a Composite Number? | Yes |
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FAQs on 96 in Binary
What is 96 in Binary?
96 in binary is 1100000. To find decimal to binary equivalent, divide 96 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 1 × 96 in Binary Form.
We know that 96 in binary is 1100000 and 1 is 1. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1100000 × 1 = 1100000 which is 96 in the decimal number system. [96 × 1 = 96]
How Many Bits Does 96 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 96 in binary i.e. 1100000. Therefore, we have used 7 bits to represent 96 in binary.
What is the Binary Equivalent of 96 + 47?
96 in binary number system is 1100000 and 47 is 101111. We can add the binary equivalent of 96 and 47 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, (1100000)₂ + (101111)₂ = (10001111)₂ which is equal to 143.
How to Convert 96 to Binary Equivalent?
We can divide 96 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 96 mod 2 = 0 - LSB (Least Significant Bit)
- 48 mod 2 = 0
- 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 96 in binary can be represented as 1100000.