144 in Binary
144 in binary is 10010000. 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 144 in binary. In this article, let us learn how to convert the decimal number 144 to binary.
How to Convert 144 in Binary?
Step 1: Divide 144 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 |
|---|---|
| 144/2 = 72 | 0 |
| 72/2 = 36 | 0 |
| 36/2 = 18 | 0 |
| 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 144.
Therefore, the binary equivalent of decimal number 144 is 10010000.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 144 in the different number systems.
- 144 in Binary: 144₁₀ = 10010000₂
- 144 in Octal: 144₁₀ = 220₈
- 144 in Hexadecimal: 144₁₀ = 90₁₆
- 10010000₂ in Decimal: 144₁₀
Problem Statements:
| What is 144 in Binary? - (Base 2) | (10010000)₂ |
| What is 144 in Hexadecimal? - (Base 16) | (90)₁₆ |
| What is 144 in Octal? - (Base 8) | (220)₈ |
| Is 144 a Composite Number? | Yes |
| Cube Root of 144 | 5.241483 |
| Is 144 a Perfect Cube? | No |
| Is 144 a Perfect Square? | Yes |
| Square Root of 144 | 12 |
| Is 144 a Prime Number? | No |
FAQs on 144 in Binary
What is 144 in Binary?
144 in binary is 10010000. To find decimal to binary equivalent, divide 144 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.
What is the Binary Equivalent of 144 + 29?
144 in binary number system is 10010000 and 29 is 11101. We can add the binary equivalent of 144 and 29 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, (10010000)₂ + (11101)₂ = (10101101)₂ which is nothing but 173.
☛ Binary to Decimal Calculator
How to Convert 144 to Binary Equivalent?
We can divide 144 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 144 mod 2 = 0 - LSB (Least Significant Bit)
- 72 mod 2 = 0
- 36 mod 2 = 0
- 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 144 in binary can be represented as 10010000.
Find the Value of 7 × 144 in Binary Form.
We know that 144 in binary is 10010000 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 10010000 × 111 = 1111110000 which is 1008 in the decimal number system. [144 × 7 = 1008]
How Many Bits Does 144 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 144 in binary i.e. 10010000. Therefore, we have used 8 bits to represent 144 in binary.
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