Question

What will be the decimal equivalent for binary number 10111?
1. 23
2. 27
3. 33
4. 25

Answer 1

Correct Answer - Option 1 : 23
 

• A number with base 2  is known as a Binary Number, and numbers with base 10 are known as Decimal Numbers in the Number System.
• The decimal numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and so on.
• Binary numbers, on the other hand, are used in digital systems and are represented by just two digits – 0 and 1.

Binary to Decimal Conversion:

Given:

Given binary number = (10111)2

Calculation:

(10111)2 = (1 × 24 + 0 × 23 + 1 × 22 + 1 × 21 + 1 × 20)10

⇒ (16 + 4 + 2 + 1)10

⇒ (23)10

So, the decimal equivalent of the binary number (10111)2 is (23)10.

∴ The number at the place of the question mark will be 23.