Question

What is the binary to octal conversion 11010?

Answer 1

To convert a binary number to octal, you can follow these steps:

1. **Group the Binary Digits**: Start by grouping the binary digits into sets of three, starting from the right. If the number of digits isn't a multiple of three, pad the leftmost group with zeros.

2. **Convert Each Group**: Convert each group of three binary digits into its octal equivalent.

Let’s apply these steps to the binary number `11010`:

1. **Group the Binary Digits**:
   - The binary number is `11010`.
   - Starting from the right, group the digits into sets of three: `011` and `110`.
   - We add padding to the left of the original number to make it a multiple of three: `011` `110`.

2. **Convert Each Group**:
   - Convert `011` to octal: \(011_2 = 3_{10}\)
   - Convert `110` to octal: \(110_2 = 6_{10}\)

   Therefore, the binary number `11010` can be grouped into the octal digits `36`.

**So, the binary number `11010` in octal is `36`.**

Answer 2

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