GCSE Computer Science

Content		Additional Information
Be able to add together up to three binary numbers.		Students will be expected to use a maximum of 8 bits and a maximum of 3 values to add. Answers will be a maximum of 8 bits in length and will not involve carrying beyond the eight bits.

Be able to apply a binary shift to a binary number.		Students will be expected to use a maximum of 8 bits. Students will be expected to understand and use only a logical binary shift. Students will not need to understand or use fractional representations.

Describe situations where binary shifts can be used.		Binary shifts can be used to perform simple multiplication/division by powers of 2

Starter

Convert 125 and 231 to binary

Convert 7DA to decimal

Convert 1011 0101 0011 to Hex

Here is an example:

If in decimal number you add two numbers (say 6 + 7) how wold you have written that calculation in primary school?

6 add 7 gives 3 carry 1

In binary, the largest digit is 1 but the principle is the same.

1 add 1 (in binary) is 0 carry 1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Extension Question 1 (Use shift and add) to multiply 1101 by 101

Extension Question 2 (Use shift and add) to multiply 11101 by 1110

Extension Question 3 (Use shift and add) to multiply 101101 by 1101