145 in Binary
145 in binary is 10010001. 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 145 in binary. In this article, let us learn how to convert the decimal number 145 to binary.
How to Convert 145 in Binary?
Step 1: Divide 145 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 |
|---|---|
| 145/2 = 72 | 1 |
| 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 145.
Therefore, the binary equivalent of decimal number 145 is 10010001.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 145 in the different number systems.
- 145 in Binary: 145₁₀ = 10010001₂
- 145 in Octal: 145₁₀ = 221₈
- 145 in Hexadecimal: 145₁₀ = 91₁₆
- 10010001₂ in Decimal: 145₁₀
Problem Statements:
| What is 145 in Binary? - (Base 2) | (10010001)₂ |
| What is 145 in Hexadecimal? - (Base 16) | (91)₁₆ |
| What is 145 in Octal? - (Base 8) | (221)₈ |
| Is 145 a Perfect Cube? | No |
| Cube Root of 145 | 5.253588 |
| Is 145 a Prime Number? | No |
| Is 145 a Perfect Square? | No |
| Is 145 a Composite Number? | Yes |
| Square Root of 145 | 12.041595 |
FAQs on 145 in Binary
What is 145 in Binary?
145 in binary is 10010001. To find decimal to binary equivalent, divide 145 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 145 to Binary Equivalent?
We can divide 145 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 145 mod 2 = 1 - 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 145 in binary can be represented as 10010001.
Find the Value of 8 × 145 in Binary Form.
We know that 145 in binary is 10010001 and 8 is 1000. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 10010001 × 1000 = 10010001000 which is 1160 in the decimal number system. [145 × 8 = 1160]
How Many Bits Does 145 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 145 in binary i.e. 10010001. Therefore, we have used 8 bits to represent 145 in binary.
What is the Binary Equivalent of 145 + 36?
145 in binary number system is 10010001 and 36 is 100100. We can add the binary equivalent of 145 and 36 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, (10010001)₂ + (100100)₂ = (10110101)₂ which is nothing but 181.
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