77 in Binary
77 in binary is 1001101. 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 77 in binary. In this article, let us learn how to convert the decimal number 77 to binary.
How to Convert 77 in Binary?
Step 1: Divide 77 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 |
|---|---|
| 77/2 = 38 | 1 |
| 38/2 = 19 | 0 |
| 19/2 = 9 | 1 |
| 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 77.
Therefore, the binary equivalent of decimal number 77 is 1001101
Let us have a look at the value of the decimal number 77 in the different number systems.
- 77 in Binary: 77₁₀ = 1001101₂
- 77 in Octal: 77₁₀ = 115₈
- 77 in Hexadecimal: 77₁₀ = 4D₁₆
- 1001101₂ in Decimal: 77₁₀
Problem Statements:
| What is 77 in Binary? - (Base 2) | (1001101)₂ |
| What is 77 in Hexadecimal? - (Base 16) | (4D)₁₆ |
| What is 77 in Octal? - (Base 8) | (115)₈ |
| Cube Root of 77 | 4.254321 |
| Is 77 a Perfect Square? | No |
| Is 77 a Prime Number? | No |
| Is 77 a Composite Number? | Yes |
| Is 77 a Perfect Cube? | No |
| Square Root of 77 | 8.774964 |
☛Related Links
- Decimal to Binary Calculator
- Binary to Decimal Calculator
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FAQs on 77 in Binary
What is 77 in Binary?
77 in binary is 1001101. To find decimal to binary equivalent, divide 77 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 × 77 in Binary Form.
We know that 77 in binary is 1001101 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 1001101 × 1001 = 1010110101 which is 693 in the decimal number system. [77 × 9 = 693]
How Many Bits Does 77 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 77 in binary i.e. 1001101. Therefore, we have used 7 bits to represent 77 in binary.
What is the Binary Equivalent of 77 + 26?
77 in binary number system is 1001101 and 26 is 11010. We can add the binary equivalent of 77 and 26 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, (1001101)₂ + (11010)₂ = (1100111)₂ which is nothing but 103.
How to Convert 77 to Binary Equivalent?
We can divide 77 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 77 mod 2 = 1 - LSB (Least Significant Bit)
- 38 mod 2 = 0
- 19 mod 2 = 1
- 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 77 in binary can be represented as 1001101.