149 in Binary
149 in binary is 10010101. 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 149 in binary. In this article, let us learn how to convert the decimal number 149 to binary.
How to Convert 149 in Binary?
Step 1: Divide 149 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 |
|---|---|
| 149/2 = 74 | 1 |
| 74/2 = 37 | 0 |
| 37/2 = 18 | 1 |
| 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 149.
Therefore, the binary equivalent of decimal number 149 is 10010101.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 149 in the different number systems.
- 149 in Binary: 149₁₀ = 10010101₂
- 149 in Octal: 149₁₀ = 225₈
- 149 in Hexadecimal: 149₁₀ = 95₁₆
- 10010101₂ in Decimal: 149₁₀
Problem Statements:
| What is 149 in Binary? - (Base 2) | (10010101)₂ |
| What is 149 in Hexadecimal? - (Base 16) | (95)₁₆ |
| What is 149 in Octal? - (Base 8) | (225)₈ |
| Is 149 a Perfect Cube? | No |
| Square Root of 149 | 12.206556 |
| Is 149 a Prime Number? | Yes |
| Cube Root of 149 | 5.301459 |
| Is 149 a Composite Number? | No |
| Is 149 a Perfect Square? | No |
FAQs on 149 in Binary
What is 149 in Binary?
149 in binary is 10010101. To find decimal to binary equivalent, divide 149 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 Many Bits Does 149 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 149 in binary i.e. 10010101. Therefore, we have used 8 bits to represent 149 in binary.
Find the Value of 10 × 149 in Binary Form.
We know that 149 in binary is 10010101 and 10 is 1010. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 10010101 × 1010 = 10111010010 which is 1490 in the decimal number system. [149 × 10 = 1490]
How to Convert 149 to Binary Equivalent?
We can divide 149 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 149 mod 2 = 1 - LSB (Least Significant Bit)
- 74 mod 2 = 0
- 37 mod 2 = 1
- 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 149 in binary can be represented as 10010101.
What is the Binary Equivalent of 149 + 48?
149 in binary number system is 10010101 and 48 is 110000. We can add the binary equivalent of 149 and 48 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, (10010101)₂ + (110000)₂ = (11000101)₂ which is nothing but 197.
☛ Also Check:
- 60 in Binary - 111100
- 300 in Binary - 100101100
- 110 in Binary - 1101110
- 34 in Binary - 100010
- 1100 in Binary - 10001001100
- 93 in Binary - 1011101
- 1010 in Binary - 1111110010