128 in binary is 10000000. 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 128 in binary. In this article, let us learn how to convert the decimal number 128 to binary.
How to Convert 128 in Binary?
Step 1: Divide 128 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 |
|---|---|
| 128/2 = 64 | 0 |
| 64/2 = 32 | 0 |
| 32/2 = 16 | 0 |
| 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 128.
Therefore, the binary equivalent of decimal number 128 is 10000000.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 128 in the different number systems.
- 128 in Binary: 128₁₀ = 10000000₂
- 128 in Octal: 128₁₀ = 200₈
- 128 in Hexadecimal: 128₁₀ = 80₁₆
- 10000000₂ in Decimal: 128₁₀
Problem Statements:
| What is 128 in Binary? - (Base 2) | (10000000)₂ |
| What is 128 in Hexadecimal? - (Base 16) | (80)₁₆ |
| What is 128 in Octal? - (Base 8) | (200)₈ |
| Is 128 a Prime Number? | No |
| Cube Root of 128 | 5.039684 |
| Square Root of 128 | 11.313708 |
| Is 128 a Composite Number? | Yes |
| Is 128 a Perfect Cube? | No |
| Is 128 a Perfect Square? | No |
FAQs on 128 in Binary
What is 128 in Binary?
128 in binary is 10000000. To find decimal to binary equivalent, divide 128 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.
What is the Binary Equivalent of 128 + 46?
128 in binary number system is 10000000 and 46 is 101110. We can add the binary equivalent of 128 and 46 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, (10000000)₂ + (101110)₂ = (10101110)₂ which is nothing but 174.
☛ Binary to Decimal Calculator
Find the Value of 1 × 128 in Binary Form.
We know that 128 in binary is 10000000 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 10000000 × 1 = 10000000 which is 128 in the decimal number system. [128 × 1 = 128]
How to Convert 128 to Binary Equivalent?
We can divide 128 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 128 mod 2 = 0 - LSB (Least Significant Bit)
- 64 mod 2 = 0
- 32 mod 2 = 0
- 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 128 in binary can be represented as 10000000.
How Many Bits Does 128 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 128 in binary i.e. 10000000. Therefore, we have used 8 bits to represent 128 in binary.
☛ Also Check:
- 36 in Binary - 100100
- 170 in Binary - 10101010
- 97 in Binary - 1100001
- 252 in Binary - 11111100
- 162 in Binary - 10100010
- 73 in Binary - 1001001
- 205 in Binary - 11001101
