133 in Binary
133 in binary is 10000101. 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 133 in binary. In this article, let us learn how to convert the decimal number 133 to binary.
How to Convert 133 in Binary?
Step 1: Divide 133 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 |
|---|---|
| 133/2 = 66 | 1 |
| 66/2 = 33 | 0 |
| 33/2 = 16 | 1 |
| 16/2 = 8 | 0 |
| 8/2 = 4 | 0 |
| 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 133.
Therefore, the binary equivalent of decimal number 133 is 10000101.
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Let us have a look at the value of the decimal number 133 in the different number systems.
- 133 in Binary: 133₁₀ = 10000101₂
- 133 in Octal: 133₁₀ = 205₈
- 133 in Hexadecimal: 133₁₀ = 85₁₆
- 10000101₂ in Decimal: 133₁₀
Problem Statements:
| What is 133 in Binary? - (Base 2) | (10000101)₂ |
| What is 133 in Hexadecimal? - (Base 16) | (85)₁₆ |
| What is 133 in Octal? - (Base 8) | (205)₈ |
| Is 133 a Perfect Cube? | No |
| Is 133 a Composite Number? | Yes |
| Is 133 a Perfect Square? | No |
| Is 133 a Prime Number? | No |
| Cube Root of 133 | 5.104469 |
| Square Root of 133 | 11.532563 |
FAQs on 133 in Binary
What is 133 in Binary?
133 in binary is 10000101. To find decimal to binary equivalent, divide 133 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 9 × 133 in Binary Form.
We know that 133 in binary is 10000101 and 9 is 1001. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 10000101 × 1001 = 10010101101 which is 1197 in the decimal number system. [133 × 9 = 1197]
How to Convert 133 to Binary Equivalent?
We can divide 133 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 133 mod 2 = 1 - LSB (Least Significant Bit)
- 66 mod 2 = 0
- 33 mod 2 = 1
- 16 mod 2 = 0
- 8 mod 2 = 0
- 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 133 in binary can be represented as 10000101.
What is the Binary Equivalent of 133 + 73?
133 in binary number system is 10000101 and 73 is 1001001. We can add the binary equivalent of 133 and 73 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, (10000101)₂ + (1001001)₂ = (11001110)₂ which is nothing but 206.
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How Many Bits Does 133 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 133 in binary i.e. 10000101. Therefore, we have used 8 bits to represent 133 in binary.
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