Number Systems Decimal Can you write 12,045 in expanded form? Base? Allowable digits for each place?

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Presentation transcript:

Number Systems Decimal Can you write 12,045 in expanded form? Base? Allowable digits for each place?

Decimal is a ‘base 10’ number system. How about a base 5 number system? Example: allowable digits per place? Convert to decimal Convert 589 to base 5

Suppose only 4 digits will be used for a base 5 system Example: What is the largest possible value? ( )

Memory and instructions used in computing devices are represented using a binary string. Current computers use a 64-bit binary string What is the place value of the most significant bit? What is the place value of the least significant bit?

8-bit Binary Numbers Place Place Value

Place Place Value Using the chart above, find the value of the given 8-bit binary strings

For an 8-bit binary number: What is the place value of the most significant bit? What is the place value of the least significant bit? What is the largest possible value? (all bits set)

Convert each decimal value to an 8-bit binary string if possible