Computer Science: Place Values in a Binary Nibble from Left to Right Practice
Identify the 8s, 4s, 2s, and 1s places in 4-bit binary numbers
Computer Science: Place Values in a Binary Nibble from Left to Right Practice
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.
A nibble has 4 bits, and the leftmost bit has the largest place value.
The place values from left to right are 8, 4, 2, and 1. These are powers of 2: 2^3, 2^2, 2^1, and 2^0. - 2
In the binary nibble 1010, what is the place value of the leftmost 1?
The leftmost 1 is in the 8s place, so its place value is 8. - 3
In the binary nibble 0101, what is the place value of the 1 in the second position from the right?
Count positions from right to left as 1s, 2s, 4s, and 8s.
The 1 in the second position from the right is in the 2s place, so its place value is 2. - 4
Write the place values above each bit in the binary nibble 1100, then list which place values are turned on.
The place values above 1100 are 8, 4, 2, and 1. The turned-on place values are 8 and 4 because those positions contain 1s. - 5
For the binary nibble 0011, identify the place values of the bits that are 1.
Only positions with a 1 are included when finding the value of a binary number.
In 0011, the bits that are 1 are in the 2s place and the 1s place. - 6
Find the decimal value of the binary nibble 1001 by adding the place values that are turned on.
The binary nibble 1001 has 1s in the 8s place and the 1s place. The decimal value is 8 + 1 = 9. - 7
Find the decimal value of the binary nibble 0110. Show which place values you used.
Use 8, 4, 2, and 1 from left to right, then add only the positions with 1s.
The binary nibble 0110 has 1s in the 4s place and the 2s place. The decimal value is 4 + 2 = 6. - 8
Which bit position in a nibble represents the value 4? Describe its location from left to right.
The value 4 is represented by the second bit from the left in a binary nibble. - 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.
Binary place values get smaller as you move from left to right.
The student reversed the place values. In a binary nibble, the correct order from left to right is 8, 4, 2, and 1. - 10
For the binary nibble 1111, list all place values that are turned on and find the decimal value.
In 1111, all four place values are turned on: 8, 4, 2, and 1. The decimal value is 8 + 4 + 2 + 1 = 15. - 11
For the binary nibble 0000, list the place values that are turned on and find the decimal value.
A 0 bit means that place value does not count toward the total.
In 0000, no place values are turned on because every bit is 0. The decimal value is 0. - 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.
In the nibble 1011, the first bit from the left is worth 8, the second bit is worth 4, the third bit is worth 2, and the fourth bit is worth 1. The 1 bits are in the 8s, 2s, and 1s places, so the decimal value is 8 + 2 + 1 = 11.