73 in Binary
73 in binary is 1001001. 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 73 in binary. In this article, let us learn how to convert the decimal number 73 to binary.
How to Convert 73 in Binary?
Step 1: Divide 73 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 |
|---|---|
| 73/2 = 36 | 1 |
| 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 73.
Therefore, the binary equivalent of decimal number 73 is 1001001.
Let us have a look at the value of the decimal number 73 in the different number systems.
- 73 in Binary: 73₁₀ = 1001001₂
- 73 in Octal: 73₁₀ = 111₈
- 73 in Hexadecimal: 73₁₀ = 49₁₆
- 1001001₂ in Decimal: 73₁₀
Problem Statements:
| What is 73 in Binary? - (Base 2) | (1001001)₂ |
| What is 73 in Hexadecimal? - (Base 16) | (49)₁₆ |
| What is 73 in Octal? - (Base 8) | (111)₈ |
| Square Root of 73 | 8.544004 |
| Is 73 a Perfect Cube? | No |
| Is 73 a Perfect Square? | No |
| Cube Root of 73 | 4.179339 |
| Is 73 a Prime Number? | Yes |
| Is 73 a Composite Number? | No |
☛Related Links
- Decimal to Binary Calculator
- Binary to Decimal Calculator
- Binary to Decimal
- 111 in Binary - 1101111
- 240 in Binary - 11110000
- 50 in Binary - 110010
- 256 in Binary - 100000000
- 202 in Binary - 11001010
- 129 in Binary - 10000001
- 3 in Binary - 11
FAQs on 73 in Binary
What is 73 in Binary?
73 in binary is 1001001. To find decimal to binary equivalent, divide 73 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 73 to Binary Equivalent?
We can divide 73 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 73 mod 2 = 1 - LSB (Least Significant Bit)
- 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 73 in binary can be represented as 1001001.
Find the Value of 6 × 73 in Binary Form.
We know that 73 in binary is 1001001 and 6 is 110. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1001001 × 110 = 110110110 which is 438 in the decimal number system. [73 × 6 = 438]
How Many Bits Does 73 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 73 in binary i.e. 1001001. Therefore, we have used 7 bits to represent 73 in binary.
What is the Binary Equivalent of 73 + 91?
73 in binary number system is 1001001 and 91 is 1011011. We can add the binary equivalent of 73 and 91 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, (1001001)₂ + (1011011)₂ = (10100100)₂ which is nothing but 164.