88 in Binary
88 in binary is 1011000. 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 88 in binary. In this article, let us learn how to convert the decimal number 88 to binary.
How to Convert 88 in Binary?
Step 1: Divide 88 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 |
|---|---|
| 88/2 = 44 | 0 |
| 44/2 = 22 | 0 |
| 22/2 = 11 | 0 |
| 11/2 = 5 | 1 |
| 5/2 = 2 | 1 |
| 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 88.
Therefore, the binary equivalent of decimal number 88 is 1011000.
Let us have a look at the value of the decimal number 88 in the different number systems.
- 88 in Binary: 88₁₀ = 1011000₂
- 88 in Octal: 88₁₀ = 130₈
- 88 in Hexadecimal: 88₁₀ = 58₁₆
- 1011000₂ in Decimal: 88₁₀
Problem Statements:
| What is 88 in Binary? - (Base 2) | (1011000)₂ |
| What is 88 in Hexadecimal? - (Base 16) | (58)₁₆ |
| What is 88 in Octal? - (Base 8) | (130)₈ |
| Square Root of 88 | 9.380832 |
| Is 88 a Perfect Square? | No |
| Cube Root of 88 | 4.44796 |
| Is 88 a Composite Number? | Yes |
| Is 88 a Perfect Cube? | No |
| Is 88 a Prime Number? | No |
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FAQs on 88 in Binary
What is 88 in Binary?
88 in binary is 1011000. To find decimal to binary equivalent, divide 88 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 6 × 88 in Binary Form.
We know that 88 in binary is 1011000 and 6 is 110. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1011000 × 110 = 1000010000 which is 528 in the decimal number system. [88 × 6 = 528]
How Many Bits Does 88 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 88 in binary i.e. 1011000. Therefore, we have used 7 bits to represent 88 in binary.
What is the Binary Equivalent of 88 + 21?
88 in binary number system is 1011000 and 21 is 10101. We can add the binary equivalent of 88 and 21 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, (1011000)₂ + (10101)₂ = (1101101)₂ which is nothing but 109.
How to Convert 88 to Binary Equivalent?
We can divide 88 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 88 mod 2 = 0 - LSB (Least Significant Bit)
- 44 mod 2 = 0
- 22 mod 2 = 0
- 11 mod 2 = 1
- 5 mod 2 = 1
- 2 mod 2 = 0
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 88 in binary can be represented as 1011000.