Practice reading binary nibbles by identifying place values from left to right and using them to find decimal values.
Read each problem carefully. For each binary nibble, use the place values 8, 4, 2, and 1 from left to right. Show your work in the space provided.
Identify the 8s, 4s, 2s, and 1s places in 4-bit binary numbers
Computer Science - Grade 9-12
- 1
Label the place values for the four positions in a binary nibble from left to right.
- 2
In the binary nibble 1010, what is the place value of the leftmost 1?
- 3
In the binary nibble 0101, what is the place value of the 1 in the second position from the right?
- 4
Write the place values above each bit in the binary nibble 1100, then list which place values are turned on.
- 5
For the binary nibble 0011, identify the place values of the bits that are 1.
- 6
Find the decimal value of the binary nibble 1001 by adding the place values that are turned on.
- 7
Find the decimal value of the binary nibble 0110. Show which place values you used.
- 8
Which bit position in a nibble represents the value 4? Describe its location from left to right.
- 9
A student labels the nibble positions from left to right as 1, 2, 4, 8. Explain what is wrong and give the correct order.
- 10
For the binary nibble 1111, list all place values that are turned on and find the decimal value.
- 11
For the binary nibble 0000, list the place values that are turned on and find the decimal value.
- 12
Complete this explanation: In the nibble 1011, the first bit from the left is worth __, the second bit is worth __, the third bit is worth __, and the fourth bit is worth __. Then find the decimal value.