168 in Binary
168 in binary is 10101000. 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 8 bits to represent 168 in binary. In this article, let us learn how to convert the decimal number 168 to binary.
How to Convert 168 in Binary?
Step 1: Divide 168 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 |
|---|---|
| 168/2 = 84 | 0 |
| 84/2 = 42 | 0 |
| 42/2 = 21 | 0 |
| 21/2 = 10 | 1 |
| 10/2 = 5 | 0 |
| 5/2 = 2 | 1 |
| 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 168.
Therefore, the binary equivalent of decimal number 168 is 10101000.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 168 in the different number systems.
- 168 in Binary: 168₁₀ = 10101000₂
- 168 in Octal: 168₁₀ = 250₈
- 168 in Hexadecimal: 168₁₀ = A8₁₆
- 10101000₂ in Decimal: 168₁₀
Problem Statements:
| What is 168 in Binary? - (Base 2) | (10101000)₂ |
| What is 168 in Hexadecimal? - (Base 16) | (A8)₁₆ |
| What is 168 in Octal? - (Base 8) | (250)₈ |
| Is 168 a Composite Number? | Yes |
| Square Root of 168 | 12.961481 |
| Cube Root of 168 | 5.517848 |
| Is 168 a Perfect Square? | No |
| Is 168 a Perfect Cube? | No |
| Is 168 a Prime Number? | No |
FAQs on 168 in Binary
What is 168 in Binary?
168 in binary is 10101000. To find decimal to binary equivalent, divide 168 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 Many Bits Does 168 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 168 in binary i.e. 10101000. Therefore, we have used 8 bits to represent 168 in binary.
How to Convert 168 to Binary Equivalent?
We can divide 168 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 168 mod 2 = 0 - LSB (Least Significant Bit)
- 84 mod 2 = 0
- 42 mod 2 = 0
- 21 mod 2 = 1
- 10 mod 2 = 0
- 5 mod 2 = 1
- 2 mod 2 = 0
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 168 in binary can be represented as 10101000.
Find the Value of 1 × 168 in Binary Form.
We know that 168 in binary is 10101000 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 10101000 × 1 = 10101000 which is 168 in the decimal number system. [168 × 1 = 168]
What is the Binary Equivalent of 168 + 11?
168 in binary number system is 10101000 and 11 is 1011. We can add the binary equivalent of 168 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, (10101000)₂ + (1011)₂ = (10110011)₂ which is nothing but 179.
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