Presentation is loading. Please wait.

Presentation is loading. Please wait.

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

Similar presentations


Presentation on theme: "Number Systems Decimal Can you write 12,045 in expanded form? Base? Allowable digits for each place?"— Presentation transcript:

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

2 Decimal is a ‘base 10’ number system. How about a base 5 number system? Example: 0341 5 allowable digits per place? Convert 3211 5 to decimal Convert 589 to base 5

3 Suppose only 4 digits will be used for a base 5 system Example: 4312 5 What is the largest possible value? (4444 5 )

4 Memory and instructions used in computing devices are represented using a binary string. Current computers use a 64-bit binary string 0010101011110100000001101101010010000101010111101000000011011010100100 What is the place value of the most significant bit? What is the place value of the least significant bit?

5 8-bit Binary Numbers 11010110 Place76543210 Place Value

6 Place76543210 Place Value Using the chart above, find the value of the given 8-bit binary strings 11010110 01001000 11111111 00001010

7 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)

8 Convert each decimal value to an 8-bit binary string if possible 154 211 132 83 44


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

Similar presentations


Ads by Google