# 248 in Binary

**248 in binary** is 11111000. 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 248 in binary. In this article, let us learn how to convert the decimal number 248 to binary.

## How to Convert 248 in Binary?

**Step 1:** Divide 248 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 |
---|---|

248/2 = 124 | 0 |

124/2 = 62 | 0 |

62/2 = 31 | 0 |

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 248.

Therefore, the binary equivalent of decimal number 248 is 11111000.

☛ Decimal to Binary Calculator

Let us have a look at the value of the decimal number 248 in the different number systems.

**248 in Binary:**248₁₀ = 11111000₂**248 in Octal:**248₁₀ = 370₈**248 in Hexadecimal:**248₁₀ = F8₁₆**11111000₂ in Decimal:**248₁₀

**Problem Statements:**

What is 248 in Binary? - (Base 2) | (11111000)₂ |

What is 248 in Hexadecimal? - (Base 16) | (F8)₁₆ |

What is 248 in Octal? - (Base 8) | (370)₈ |

Is 248 a Perfect Square? | No |

Is 248 a Perfect Cube? | No |

Square Root of 248 | 15.748016 |

Is 248 a Composite Number? | Yes |

Is 248 a Prime Number? | No |

Cube Root of 248 | 6.282761 |

## FAQs on 248 in Binary

### What is 248 in Binary?

248 in binary is 11111000. To find decimal to binary equivalent, divide 248 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 248 to Binary Equivalent?

We can divide 248 by 2 and continue the division till we get 0. Note down the remainder in each step.

- 248 mod 2 = 0 - LSB (Least Significant Bit)
- 124 mod 2 = 0
- 62 mod 2 = 0
- 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 248 in binary can be represented as 11111000.

### Find the Value of 1 × 248 in Binary Form.

We know that 248 in binary is 11111000 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 11111000 × 1 = 11111000 which is 248 in the decimal number system. [248 × 1 = 248]

### How Many Bits Does 248 in Binary Have?

We can count the number of zeros and ones to see how many bits are used to represent 248 in binary i.e. 11111000. Therefore, we have used 8 bits to represent 248 in binary.

### What is the Binary Equivalent of 248 + 18?

248 in binary number system is 11111000 and 18 is 10010. We can add the binary equivalent of 248 and 18 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, (11111000)₂ + (10010)₂ = (100001010)₂ which is nothing but 266.

**☛ Also Check:**

- 129 in Binary - 10000001
- 155 in Binary - 10011011
- 300 in Binary - 100101100
- 74 in Binary - 1001010
- 12 in Binary - 1100
- 209 in Binary - 11010001
- 24 in Binary - 11000

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