Binary and Hexadecimal to Decimal

Front

What is the decimal equivalent of the hexadecimal number 1A?

Back

26

Front

How do you convert the binary number 11111 to decimal?

Back

To convert binary to decimal, multiply each bit by 2 raised to the power of its position (from right to left, starting at 0). For 11111: (1*2^4) + (1*2^3) + (1*2^2) + (1*2^1) + (1*2^0) = 16 + 8 + 4 + 2 + 1 = 31.

Front

What is the decimal equivalent of the binary number 10101?

Back

21

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

Explain the process of converting the binary number 110010 to decimal.

Back

To convert binary to decimal, multiply each bit by 2 raised to the power of its position. For 110010: (1*2^5) + (1*2^4) + (0*2^3) + (0*2^2) + (1*2^1) + (0*2^0) = 32 + 16 + 0 + 0 + 2 + 0 = 50.

Front

What is the decimal equivalent of the hexadecimal number 9B?

Back

158

Front

What is the base of the hexadecimal number system?

Back

The base of the hexadecimal number system is 16.

Front

What digits are used in the hexadecimal number system?

Back

The hexadecimal number system uses the digits 0-9 and the letters A-F, where A=10, B=11, C=12, D=13, E=14, and F=15.

Front

How do you convert a hexadecimal number to decimal?

Back

To convert a hexadecimal number to decimal, multiply each digit by 16 raised to the power of its position (from right to left, starting at 0) and sum the results.

Front

What is the decimal equivalent of the hexadecimal number 2F?

Back

47

Front

What is the decimal equivalent of the binary number 1110?

Back

14