Why is the binary number 11010 the same as 00011010?

Place values and the most and least significant bits, the 0 to 255 range, and worked conversions between binary, denary and hexadecimal with the method for each.

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Key term

What are the place values of an 8-bit binary number, from left to right?

Key term

What are the most significant bit and the least significant bit of a binary number?

Key term

What range of numbers can 8 bits represent?

Questions from this subtopic

Each one with the model answer underneath.

1
What are the place values of an 8-bit binary number, from left to right?
Model answer
The place values are 128, 64, 32, 16, 8, 4, 2 and 1. Each place value is double the one to its right.
2
What are the most significant bit and the least significant bit of a binary number?
Model answer
The most significant bit is the leftmost bit, with the highest place value. The least significant bit is the rightmost bit, with a place value of 1.
3
What range of numbers can 8 bits represent?
Model answer
Eight bits can hold denary 0 to 255, which is 00 to FF in hexadecimal. The binary range is 00000000 to 11111111, giving 256 different values.
4
Why is the binary number 11010 the same as 00011010?
Model answer
A zero at the left-hand end adds nothing to the value of a binary number. Each number equals 16 + 8 + 2 = 26 in denary.
5
Convert the binary number 10110110 to denary.
Model answer
The denary value is 182. The column values are 128 + 32 + 16 + 4 + 2 = 182.
6
Convert the binary number 01001101 to denary.
Model answer
The denary value is 77. The column values are 64 + 8 + 4 + 1 = 77.

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