Binary Number System
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What is signed binary?
Signed binary numbers are encoded to include a positive or negative sign.
What is unsigned binary?
Unsigned binary numbers do NOT have a positive or negative sign so are useful for positive whole numbers only.
What is the advantage of using unsigned binary?
The advantage of using unsigned integers is that they can be used to store larger numbers than using signed integers
What minimum and maximum value does unsigned binary have?
An unsigned binary number has a minimum of zero and a maximum value of 2n-1,
What is the binary addition rules?
Binary Addition Rules: 0 + 0 = 0 1 + 0 = 1 0 + 1 = 1 1 + 1 = 102 write down 0 and carry 1 1 + 1 + 1 = 112 write down 1 and carry
How would you add the binary numbers 0111 and 0101 ?
1 + 1 = 2 so write 0 and carry 1 1 + 0 + 1 = 10 binary so write 0 and carry 1 1 + 1 + 1 = 11 binary so write 1 and carry 1 0 + 0 + 1 = 1 binary so write 1 So 0111 + 0101 = 1100 binary
What are the rules for binary mutliplication?
Binary Multiplication Rules: 0 x 0 = 0 1 x 0 = 0 0 x 1 = 0 1 x 1 = 1 (there are no carry or borrow bits with binary multiplication)
How would you multiply binary numbers 0011011 by 101 ?
Multiply 0011011 By 101 Step 1 multiply 00011011 by 1 Step 2 multiply 00011011 by 1 and shift 2 places Binary addition three rows for final answer Use carry bits where necessary So 00011011 x 00000101 = 10000111 binary