16 in Binary
16 in binary is 10000. 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 5 bits to represent 16 in binary. In this article, let us learn how to convert the decimal number 16 to binary.
How to Convert 16 in Binary?
Step 1: Divide 16 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 |
|---|---|
| 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 16.
Therefore, the binary equivalent of decimal number 16 is 10000.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 16 in the different number systems.
- 16 in Binary: 16₁₀ = 10000₂
- 16 in Octal: 16₁₀ = 20₈
- 16 in Hexadecimal: 16₁₀ = 10₁₆
- 10000₂ in Decimal: 16₁₀
Problem Statements:
| What is 16 in Binary? - (Base 2) | (10000)₂ |
| What is 16 in Hexadecimal? - (Base 16) | (10)₁₆ |
| What is 16 in Octal? - (Base 8) | (20)₈ |
| Is 16 a Composite Number? | Yes |
| Is 16 a Perfect Cube? | No |
| Is 16 a Prime Number? | No |
| Cube Root of 16 | 2.519842 |
| Square Root of 16 | 4 |
| Is 16 a Perfect Square? | Yes |
FAQs on 16 in Binary
What is 16 in Binary?
16 in binary is 10000. To find decimal to binary equivalent, divide 16 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 16 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 16 in binary i.e. 10000. Therefore, we have used 5 bits to represent 16 in binary.
How to Convert 16 to Binary Equivalent?
We can divide 16 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 16 mod 2 = 0 - LSB (Least Significant Bit)
- 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 16 in binary can be represented as 10000.
Find the Value of 6 × 16 in Binary Form.
We know that 16 in binary is 10000 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 10000 × 110 = 1100000 which is 96 in the decimal number system. [16 × 6 = 96]
What is the Binary Equivalent of 16 + 41?
16 in binary number system is 10000 and 41 is 101001. We can add the binary equivalent of 16 and 41 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, (10000)₂ + (101001)₂ = (111001)₂ which is nothing but 57.
☛ Also Check:
- 92 in Binary - 1011100
- 84 in Binary - 1010100
- 1000 in Binary - 1111101000
- 18 in Binary - 10010
- 109 in Binary - 1101101
- 221 in Binary - 11011101
- 254 in Binary - 11111110