Digital Circuit Why Digital Circuit? – Digital signals ( 0 and 1) are very easy to handle with electronic circuits only 2 states needed: Switch ON or OFF,

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Digital Circuit Why Digital Circuit? – Digital signals ( 0 and 1) are very easy to handle with electronic circuits only 2 states needed: Switch ON or OFF, Circuit CLOSED or OPEN, Current FLOWING or NOT, Voltage HIGH or LOW Low error: accurate measurement of voltage in analog circuit vs. 0 (0-2V) and 1 (2.6 to 5 V).

Review of Decimal Counting Most familiar! "Place holders" are powers of 10 Power of 10:3210 Weight: Ten symbols or characters needed: 0, 1, 2, 3, 4, 5, 6, 7, 8, and = (1 x 10 3 ) + (9 x 10 2 ) + (9 x 10) + 8 = Example

Binary Counting Base 10Base 2Base 10Base Digitizing a Signal

Binary Counting Power of 2: Decimal Weight: Example: convert to decimal Binary Number: Decimal Weight of Placeholders: Contributions to Decimal Number: Answer: = 98 "bit" is a contraction of "binary digit"

Addition of Binary number = 1-- No surprise = 10-- Don't forget to carry! = 11

Concept Check: Binary Counting In binary, which one of the following is not true? A: = 110 B: = 110 C: = 110 Answer: A