150 in Binary
150 in binary is 10010110. 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 150 in binary. In this article, let us learn how to convert the decimal number 150 to binary.
How to Convert 150 in Binary?
Step 1: Divide 150 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 |
|---|---|
| 150/2 = 75 | 0 |
| 75/2 = 37 | 1 |
| 37/2 = 18 | 1 |
| 18/2 = 9 | 0 |
| 9/2 = 4 | 1 |
| 4/2 = 2 | 0 |
| 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 150.
Therefore, the binary equivalent of decimal number 150 is 10010110.
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Let us have a look at the value of the decimal number 150 in the different number systems.
- 150 in Binary: 150₁₀ = 10010110₂
- 150 in Octal: 150₁₀ = 226₈
- 150 in Hexadecimal: 150₁₀ = 96₁₆
- 10010110₂ in Decimal: 150₁₀
Problem Statements:
| What is 150 in Binary? - (Base 2) | (10010110)₂ |
| What is 150 in Hexadecimal? - (Base 16) | (96)₁₆ |
| What is 150 in Octal? - (Base 8) | (226)₈ |
| Cube Root of 150 | 5.313293 |
| Is 150 a Prime Number? | No |
| Is 150 a Composite Number? | Yes |
| Is 150 a Perfect Square? | No |
| Square Root of 150 | 12.247449 |
| Is 150 a Perfect Cube? | No |
FAQs on 150 in Binary
What is 150 in Binary?
150 in binary is 10010110. To find decimal to binary equivalent, divide 150 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 to Convert 150 to Binary Equivalent?
We can divide 150 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 150 mod 2 = 0 - LSB (Least Significant Bit)
- 75 mod 2 = 1
- 37 mod 2 = 1
- 18 mod 2 = 0
- 9 mod 2 = 1
- 4 mod 2 = 0
- 2 mod 2 = 0
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 150 in binary can be represented as 10010110.
Find the Value of 7 × 150 in Binary Form.
We know that 150 in binary is 10010110 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 10010110 × 111 = 10000011010 which is 1050 in the decimal number system. [150 × 7 = 1050]
What is the Binary Equivalent of 150 + 22?
150 in binary number system is 10010110 and 22 is 10110. We can add the binary equivalent of 150 and 22 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, (10010110)₂ + (10110)₂ = (10101100)₂ which is nothing but 172.
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How Many Bits Does 150 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 150 in binary i.e. 10010110. Therefore, we have used 8 bits to represent 150 in binary.
☛ Also Check:
- 20 in Binary - 10100
- 160 in Binary - 10100000
- 250 in Binary - 11111010
- 43 in Binary - 101011
- 321 in Binary - 101000001
- 512 in Binary - 1000000000
- 375 in Binary - 101110111