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What is 76 to 8 bit binary?

2 Answers

 
Best answer
To convert the decimal number 76 into an 8-bit binary representation, follow these steps:

### Step 1: Divide the Number by 2
Start by dividing 76 by 2 and record the quotient and the remainder. The remainder will be part of the binary representation.

1. **76 ÷ 2 = 38**, remainder **0**
2. **38 ÷ 2 = 19**, remainder **0**
3. **19 ÷ 2 = 9**, remainder **1**
4. **9 ÷ 2 = 4**, remainder **1**
5. **4 ÷ 2 = 2**, remainder **0**
6. **2 ÷ 2 = 1**, remainder **0**
7. **1 ÷ 2 = 0**, remainder **1**

### Step 2: Collect the Remainders
Now, write down the remainders from the last division to the first:

- The remainders are: **1, 0, 0, 1, 1, 0, 0, 0**

### Step 3: Write in Reverse Order
To get the binary number, reverse the order of the remainders:

- Reading from bottom to top: **1001100**

### Step 4: Format as 8-Bit Binary
Since we need an 8-bit binary representation, we can add leading zeros to ensure it has 8 digits:

- The 8-bit representation of 76 is **01001100**.

### Summary
The decimal number 76 in 8-bit binary is **01001100**. This format is useful in various computing applications where binary data representation is required, such as in programming, digital electronics, and data encoding.
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To convert the decimal number 76 to an 8-bit binary number, follow these steps:

1. **Divide the number by 2 and keep track of the remainders**:

   - 76 ÷ 2 = 38, remainder 0
   - 38 ÷ 2 = 19, remainder 0
   - 19 ÷ 2 = 9, remainder 1
   - 9 ÷ 2 = 4, remainder 1
   - 4 ÷ 2 = 2, remainder 0
   - 2 ÷ 2 = 1, remainder 0
   - 1 ÷ 2 = 0, remainder 1

2. **Write down the remainders in reverse order**:

   - Reading from bottom to top: 1001100

3. **Pad the binary number with leading zeros to make it 8 bits**:

   - The 7-bit binary number is 1001100
   - To make it 8 bits, add a leading zero: 01001100

So, 76 in 8-bit binary is `01001100`.
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