In a 4-bit binary number, what is the decimal equivalent of '1010'?

In a 4-bit binary number, what is the decimal equivalent of '1010'?

• A. 8
• B. 10
• C. 12
• D. 14

Answer: (B)

To convert the 4-bit binary number '1010' to its decimal equivalent, you can use the method of determining the value of each bit in the binary number based on its position. In binary, each bit from right to left represents increasing powers of 2, starting from 2^0. Breaking down '1010': - The rightmost bit (0) represents 2^0, which equals 1, but since it is 0, it contributes 0 to the total. - The next bit (1) represents 2^1, which equals 2, contributing a value of 2. - The next bit (0) represents 2^2, which equals 4, but since it is 0, it contributes 0 to the total. - The leftmost bit (1) represents 2^3, which equals 8, contributing a value of 8. Now, you add these contributions together: 0 (from 2^0) + 2 (from 2^1) + 0 (from 2^2) + 8 (from 2^3) = 0 + 2 + 0 + 8 = 10. Thus,

To convert the 4-bit binary number '1010' to its decimal equivalent, you can use the method of determining the value of each bit in the binary number based on its position. In binary, each bit from right to left represents increasing powers of 2, starting from 2^0.

Breaking down '1010':

• The rightmost bit (0) represents 2^0, which equals 1, but since it is 0, it contributes 0 to the total.

• The next bit (1) represents 2^1, which equals 2, contributing a value of 2.

• The next bit (0) represents 2^2, which equals 4, but since it is 0, it contributes 0 to the total.

• The leftmost bit (1) represents 2^3, which equals 8, contributing a value of 8.

Now, you add these contributions together:

0 (from 2^0) + 2 (from 2^1) + 0 (from 2^2) + 8 (from 2^3) = 0 + 2 + 0 + 8 = 10.

Thus,