101 in Binary
101 in binary is 1100101. 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 101 in binary. In this article, we will show how to convert the decimal number 101 to binary.
- 101 in Binary: 101₁₀ = 1100101₂
- 101 in Octal: 101₁₀ = 145₈
- 101 in Hexadecimal: 101₁₀ = 65₁₆
- 1100101₂ in Decimal: 101₁₀
How to Convert 101 in Binary?
Step 1: Divide 101 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 |
|---|---|
| 101/2 = 50 | 1 |
| 50/2 = 25 | 0 |
| 25/2 = 12 | 1 |
| 12/2 = 6 | 0 |
| 6/2 = 3 | 0 |
| 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 101.
Therefore, the binary equivalent of decimal number 101 is 1100101.
☛ Decimal to Binary Calculator
Problem Statements:
| What is 101 in Binary? - (Base 2) | (1100101)₂ |
| What is 101 in Hexadecimal? - (Base 16) | (65)₁₆ |
| What is 101 in Octal? - (Base 8) | (145)₈ |
| Is 101 a Perfect Square? | No |
| Square Root of 101 | 10.049876 |
| Is 101 a Composite Number? | No |
| Is 101 a Prime Number? | Yes |
| Cube Root of 101 | 4.65701 |
| Is 101 a Perfect Cube? | No |
FAQs on 101 in Binary
What is 101 in Binary?
101 in binary is 1100101. To find decimal to binary equivalent, divide 101 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 101 to Binary Equivalent?
We can divide 101 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 101 mod 2 = 1 - LSB (Least Significant Bit)
- 50 mod 2 = 0
- 25 mod 2 = 1
- 12 mod 2 = 0
- 6 mod 2 = 0
- 3 mod 2 = 1
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 101 in binary can be represented as 1100101.
What is the Binary Equivalent of 101 + 99?
101 in binary number system is 1100101 and 99 is 1100011. We can add the binary equivalent of 101 and 99 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, (1100101)₂ + (1100011)₂ = (11001000)₂ which is nothing but 200.
☛ Binary to Decimal Calculator
How Many Bits Does 101 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 101 in binary i.e. 1100101. Therefore, we have used 7 bits to represent 101 in binary.
Find the Value of 7 × 101 in Binary Form.
We know that 101 in binary is 1100101 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 1100101 × 111 = 1011000011 which is 707 in the decimal number system. [101 × 7 = 707]
☛ Also Check:
- 1100 in Binary - 10001001100
- 223 in Binary - 11011111
- 109 in Binary - 1101101
- 1023 in Binary - 1111111111
- 158 in Binary - 10011110
- 221 in Binary - 11011101
- 180 in Binary - 10110100