253 in Binary
253 in binary is 11111101. 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 253 in binary. In this article, let us learn how to convert the decimal number 253 to binary.
How to Convert 253 in Binary?
Step 1: Divide 253 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 |
|---|---|
| 253/2 = 126 | 1 |
| 126/2 = 63 | 0 |
| 63/2 = 31 | 1 |
| 31/2 = 15 | 1 |
| 15/2 = 7 | 1 |
| 7/2 = 3 | 1 |
| 3/2 = 1 | 1 |
| 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 253.
Therefore, the binary equivalent of decimal number 253 is 11111101.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 253 in the different number systems.
- 253 in Binary: 253₁₀ = 11111101₂
- 253 in Octal: 253₁₀ = 375₈
- 253 in Hexadecimal: 253₁₀ = FD₁₆
- 11111101₂ in Decimal: 253₁₀
Problem Statements:
| What is 253 in Binary? - (Base 2) | (11111101)₂ |
| What is 253 in Hexadecimal? - (Base 16) | (FD)₁₆ |
| What is 253 in Octal? - (Base 8) | (375)₈ |
| Is 253 a Prime Number? | No |
| Is 253 a Composite Number? | Yes |
| Cube Root of 253 | 6.324704 |
| Is 253 a Perfect Square? | No |
| Is 253 a Perfect Cube? | No |
| Square Root of 253 | 15.905974 |
FAQs on 253 in Binary
What is 253 in Binary?
253 in binary is 11111101. To find decimal to binary equivalent, divide 253 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 253 to Binary Equivalent?
We can divide 253 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 253 mod 2 = 1 - LSB (Least Significant Bit)
- 126 mod 2 = 0
- 63 mod 2 = 1
- 31 mod 2 = 1
- 15 mod 2 = 1
- 7 mod 2 = 1
- 3 mod 2 = 1
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 253 in binary can be represented as 11111101.
What is the Binary Equivalent of 253 + 97?
253 in binary number system is 11111101 and 97 is 1100001. We can add the binary equivalent of 253 and 97 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, (11111101)₂ + (1100001)₂ = (101011110)₂ which is nothing but 350.
☛ Binary to Decimal Calculator
How Many Bits Does 253 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 253 in binary i.e. 11111101. Therefore, we have used 8 bits to represent 253 in binary.
Find the Value of 7 × 253 in Binary Form.
We know that 253 in binary is 11111101 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 11111101 × 111 = 11011101011 which is 1771 in the decimal number system. [253 × 7 = 1771]
☛ Also Check:
- 249 in Binary - 11111001
- 255 in Binary - 11111111
- 112 in Binary - 1110000
- 158 in Binary - 10011110
- 246 in Binary - 11110110
- 172 in Binary - 10101100
- 124 in Binary - 1111100