6 Edexcel GCSE Computer Science (1CP2) exam-style questions on Binary to Denary Conversion (2.1 Binary), 6 marks in all. Answer them on paper or print them, then open the mark schemes and example answers to see how each is marked.
Binary, denary and hexadecimal patterns represent numbers.
Convert the binary pattern 1010 0111 to denary.
Award one mark for:
167
Why: Correct: 128 + 32 + 4 + 2 + 1 = 167 (1).
229
Why: Reads the place values from the wrong end (the left-hand bit as 1), so the value is wrong.
5
Why: Counts the 1s instead of adding their place values.
Computers manipulate binary patterns.
Convert the binary pattern 0111 0111 to denary.
Award one mark for:
119
Why: Correct: 64 + 32 + 16 + 4 + 2 + 1 = 119 (1).
238
Why: Reads the place values from the wrong end (the left-hand bit as 1), so the value is wrong.
6
Why: Counts the 1s instead of adding their place values.
Computer systems manipulate bit patterns.
Convert the binary pattern 0110 1001 to denary.
Award one mark for:
105
Why: Correct: 64 + 32 + 8 + 1 = 105 (1).
150
Why: Reads the place values from the wrong end (the left-hand bit as 1), so the value is wrong.
4
Why: Counts the 1s instead of adding their place values.
Computers manipulate binary patterns.
Convert the binary pattern 1010 0100 to denary.
Award one mark for:
164
Why: Correct: 128 + 32 + 4 = 164 (1).
37
Why: Reads the place values from the wrong end (the left-hand bit as 1), so the value is wrong.
3
Why: Counts the 1s instead of adding their place values.
Computers manipulate binary patterns.
Convert the binary pattern 1110 0000 to denary.
Award one mark for:
224
Why: Correct: 128 + 64 + 32 = 224 (1).
7
Why: Reads the place values from the wrong end (the left-hand bit as 1), so the value is wrong.
3
Why: Counts the 1s instead of adding their place values.
Binary, denary and hexadecimal patterns represent numbers.
Convert the binary pattern 1110 1100 to denary.
Award one mark for:
236
Why: Correct: 128 + 64 + 32 + 8 + 4 = 236 (1).
55
Why: Reads the place values from the wrong end (the left-hand bit as 1), so the value is wrong.
5
Why: Counts the 1s instead of adding their place values.
Teachers: print these as a worksheet with the mark schemes at the end, and sign your school up to set your classes activities on Binary to Denary Conversion.
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