The binary number 11000000 represents what number below in decimal?
A) 160
B) 192
C) 224
D) 240

Question

​The binary number 11000000 represents what number below in decimal?
A) ​160
B) ​192
C) ​224
D) ​240

Quizplus · Accepted Answer

The binary number 11000000 can be converted to decimal by multiplying the binary digits by 2 raised to a power of their position (reading from right to left) and adding up the results:

1 * 2^7 + 1 * 2^6 + 0 * 2^5 + 0 * 2^4 + 0 * 2^3 + 0 * 2^2 + 0 * 2^1 + 0 * 2^0
= 128 + 64 + 0 + 0 + 0 + 0 + 0 + 0
= 192

Therefore, the correct answer is B) 192.

​The Binary Number 11000000 Represents What Number Below in Decimal

The Binary Number 11000000 Represents What Number Below in Decimal