72 in Binary
72 in binary is 1001000. 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 72 in binary. In this article, let us learn how to convert the decimal number 72 to binary.
How to Convert 72 in Binary?
Step 1: Divide 72 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 |
|---|---|
| 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 72.
Therefore, the binary equivalent of decimal number 72 is 1001000.
Let us have a look at the value of the decimal number 72 in the different number systems.
- 72 in Binary: 72₁₀ = 1001000₂
- 72 in Octal: 72₁₀ = 110₈
- 72 in Hexadecimal: 72₁₀ = 48₁₆
- 1001000₂ in Decimal: 72₁₀
Problem Statements:
| What is 72 in Binary? - (Base 2) | (1001000)₂ |
| What is 72 in Hexadecimal? - (Base 16) | (48)₁₆ |
| What is 72 in Octal? - (Base 8) | (110)₈ |
| Is 72 a Perfect Cube? | No |
| Square Root of 72 | 8.485281 |
| Cube Root of 72 | 4.160168 |
| Is 72 a Composite Number? | Yes |
| Is 72 a Prime Number? | No |
| Is 72 a Perfect Square? | No |
☛Related Topics
- Decimal to Binary Calculator
- Binary to Decimal Calculator
- Binary to Decimal
- 114 in Binary - 1110010
- 63 in Binary - 111111
- 511 in Binary - 111111111
- 31 in Binary - 11111
- 131 in Binary - 10000011
- 221 in Binary - 11011101
- 36 in Binary - 100100
FAQs on 72 in Binary
What is 72 in Binary?
72 in binary is 1001000. To find decimal to binary equivalent, divide 72 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.
Find the Value of 1 × 72 in Binary Form.
We know that 72 in binary is 1001000 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 1001000 × 1 = 1001000 which is 72 in the decimal number system. [72 × 1 = 72]
What is the Binary Equivalent of 72 + 34?
72 in binary number system is 1001000 and 34 is 100010. We can add the binary equivalent of 72 and 34 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, (1001000)₂ + (100010)₂ = (1101010)₂ which is nothing but 106.
How Many Bits Does 72 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 72 in binary i.e. 1001000. Therefore, we have used 7 bits to represent 72 in binary.
How to Convert 72 to Binary Equivalent?
We can divide 72 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 72 mod 2 = 0 - 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 72 in binary can be represented as 1001000.